1,318 results on '"Navier–Stokes equations"'
Search Results
2. General Drag Coefficient for Flow over Spherical Particles
- Author
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Eric J. Ching, Christopher J. Hogan, Thomas E. Schwartzentruber, Chenxi Li, Michael Kroells, Matthias Ihme, and Narendra Singh
- Subjects
Physics::Fluid Dynamics ,Physics ,Drag coefficient ,Free molecular flow ,Flow (mathematics) ,Compressibility ,Aerospace Engineering ,Mechanics ,Navier–Stokes equations ,Boltzmann equation ,Heat capacity - Abstract
A generalized physics-based expression for the drag coefficient of spherical particles moving in a fluid is developed. The proposed correlation incorporates essential rarefied effects, low-speed hy...
- Published
- 2022
3. Dutch-Roll Stability Analysis of an Air Mobility Vehicle Using Navier–Stokes Equations
- Author
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Guru P. Guruswamy
- Subjects
Lift (force) ,Lift coefficient ,Lateral stability ,Wing ,Dutch roll ,Fuselage ,Aerospace Engineering ,Navier–Stokes equations ,Stability (probability) ,Geology ,Marine engineering - Abstract
Dutch-roll motions caused by sudden gusts are studied for a typical advanced air mobility vehicle. The selected lift+cruise configuration consists of a fuselage with high wing powered by lifting an...
- Published
- 2021
4. Laminar–Turbulent Transition Reversal on a Blunted Plate with Various Leading-Edge Shapes
- Author
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Vladimir Evguenyevich Mosharov, Volf Ya. Borovoy, Sergey V. Aleksandrov, and Vladimir Nikolaevich Radchenko
- Subjects
Physics ,Leading edge ,Stagnation temperature ,Aerospace Engineering ,Reynolds number ,Mechanics ,Physics::Fluid Dynamics ,symbols.namesake ,Mach number ,symbols ,Laminar-turbulent transition ,Bow shock (aerodynamics) ,Navier–Stokes equations ,Wind tunnel - Abstract
The influence of the flat-plate leading-edge shape on laminar–turbulent transition is investigated. Experiments were carried out at a Mach number of M∞=5; a unit Reynolds number Re1∞ from 1.5×107 t...
- Published
- 2021
5. Numerical Investigation on Combustion-Enhancement Strategy in Shock–Fuel Jet Interaction
- Author
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Bin Yu, Bin Zhang, Miaosheng He, Haoyang Liu, Zi’ang Wang, and Hong Liu
- Subjects
Jet (fluid) ,Materials science ,Astrophysics::High Energy Astrophysical Phenomena ,Mathematics::Analysis of PDEs ,Turbulence modeling ,Aerospace Engineering ,Mechanics ,Lagrangian particle tracking ,Combustion ,Solid fuel ,Shock (mechanics) ,Physics::Fluid Dynamics ,Oblique shock ,Physics::Chemical Physics ,Navier–Stokes equations ,Physics::Atmospheric and Oceanic Physics - Abstract
Multidimensional numerical simulations are performed to investigate the evolution and formation of unburned fuels for a shock–fuel jet interaction scenario. A full set of Navier–Stokes equations wi...
- Published
- 2021
6. Efficient One-Shot Technique for Adjoint-Based Unsteady Optimization
- Author
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Kivanc Ekici and Reza Djeddi
- Subjects
One shot ,Lift coefficient ,symbols.namesake ,Computer science ,Lagrange multiplier ,Memory footprint ,symbols ,Aerospace Engineering ,Applied mathematics ,Vorticity ,Navier–Stokes equations ,Broyden fletcher goldfarb shanno ,Kármán vortex street - Abstract
A computationally efficient one-shot approach with a low memory footprint is presented for unsteady optimization. The proposed technique is based on a novel and unique approach that combines local-...
- Published
- 2021
7. Investigation of Transition Delay on a Wing Section by Dynamic Surface Deformation
- Author
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Donald P. Rizzetta and Miguel R. Visbal
- Subjects
020301 aerospace & aeronautics ,Materials science ,Angle of attack ,Turbulence ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,Deformation (meteorology) ,01 natural sciences ,010305 fluids & plasmas ,Natural laminar flow ,0203 mechanical engineering ,0103 physical sciences ,Navier–Stokes equations ,Surface deformation ,Wing section ,Plasma actuator - Abstract
Numerical calculations were carried out in order to investigate the delay of transition to turbulence on a wing section by means of local dynamic surface deformation. Physically, the deformation ma...
- Published
- 2021
8. Rotor-Blade Planform Design Based on an Overset Harmonic-Balance-Adjoint Optimization Framework
- Author
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Mark Woodgate, George N. Barakos, Thomas A. Fitzgibbon, and Richard H. Markiewicz
- Subjects
Blade (geometry) ,Computer science ,Rotor (electric) ,business.industry ,Aerospace Engineering ,Computational fluid dynamics ,Planform ,law.invention ,Vortex ,Harmonic balance ,Control theory ,law ,Current (fluid) ,Navier–Stokes equations ,business - Abstract
Optimization methods in conjunction with computational fluid dynamics are a key tool in advancing current rotor design. High-fidelity optimization of unsteady rotor flows in forward flight, however...
- Published
- 2021
9. Interpretation of Multilobe Wavepackets in Spectral Proper Orthogonal Decomposition of Supersonic Jet
- Author
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Seiji Tsutsumi, Satoshi Nonaka, Masahito Akamine, Susumu Teramoto, and Koji Okamoto
- Subjects
Physics::Fluid Dynamics ,Physics ,Jet (fluid) ,Flow (mathematics) ,Turbulence ,Modal analysis ,Wave packet ,Singular value decomposition ,Aerospace Engineering ,Supersonic speed ,Navier–Stokes equations ,Computational physics - Abstract
Spectral proper orthogonal decomposition (SPOD) is a major modal analysis that extracts a dominant structure at each frequency from complicated flow data, such as the wavepacket hidden under turbul...
- Published
- 2021
10. Parabolized Stability Analysis of Hypersonic Thermal–Chemical Nonequilibrium Boundary-Layer Flows
- Author
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Song Fu, Liang Wang, and Xianliang Chen
- Subjects
020301 aerospace & aeronautics ,Hypersonic speed ,Materials science ,Direct numerical simulation ,Aerospace Engineering ,Non-equilibrium thermodynamics ,02 engineering and technology ,Aerodynamics ,Mechanics ,01 natural sciences ,Wedge (geometry) ,010305 fluids & plasmas ,symbols.namesake ,Boundary layer ,0203 mechanical engineering ,Mach number ,0103 physical sciences ,symbols ,Navier–Stokes equations - Abstract
In this work, the stability of Mach 20 flows past a 6 deg wedge in thermal–chemical nonequilibrium (TCNE) is studied by means of linear parabolized stability equations (PSEs) in combination with ad...
- Published
- 2021
11. Source of Fine-Scale Turbulent Mixing Noise Using the Navier–Stokes Equations
- Author
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Steven A. E. Miller and Trushant K. Patel
- Subjects
Physics ,symbols.namesake ,Mach number ,Scale (ratio) ,Turbulence ,Green's function ,symbols ,Aerospace Engineering ,Spectral density ,Mechanics ,Navier–Stokes equations ,Reynolds-averaged Navier–Stokes equations ,Noise (radio) - Published
- 2021
12. Stabilization of the Adjoint for Turbulent Flows
- Author
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Scott M. Murman and Anirban Garai
- Subjects
Physics ,020301 aerospace & aeronautics ,Turbulence ,Chaotic ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,Mathematics::Spectral Theory ,Kinetic energy ,01 natural sciences ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,Nonlinear Sciences::Chaotic Dynamics ,Boundary layer ,0203 mechanical engineering ,Incompressible flow ,0103 physical sciences ,Shape optimization ,Reynolds-averaged Navier–Stokes equations ,Navier–Stokes equations - Abstract
Traditional adjoint variables grow exponentially for turbulent chaotic flows. Most proposed methods (for example. ensemble adjoint, shadow-based, and unstable-subspace-based approaches, etc.) are c...
- Published
- 2021
13. Numerical Simulation of Shock Tubes Using Shock Tracking in an Overset Formulation
- Author
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Peter Collen, Matthew Satchell, Luca di Mare, and Matthew McGilvray
- Subjects
Physics ,020301 aerospace & aeronautics ,Computer simulation ,Astrophysics::High Energy Astrophysical Phenomena ,Rotational symmetry ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,Lagrangian particle tracking ,01 natural sciences ,010305 fluids & plasmas ,Shock (mechanics) ,Physics::Fluid Dynamics ,Discontinuity (linguistics) ,0203 mechanical engineering ,0103 physical sciences ,Two-dimensional flow ,Shock tube ,Navier–Stokes equations ,Astrophysics::Galaxy Astrophysics - Abstract
An axisymmetric viscous shock tube simulation code is developed that keeps the shock and the contact discontinuity stationary in suitably constructed moving frames of reference. The flowfield aroun...
- Published
- 2021
14. Numerical Method for Particulate-Induced High-Speed Boundary-Layer Transition Simulations
- Author
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Christoph Brehm, Sayed Mohammad Abdullah Al Hasnine, and Oliver M. F. Browne
- Subjects
Physics ,020301 aerospace & aeronautics ,business.industry ,Adaptive mesh refinement ,Numerical analysis ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,Solver ,Computational fluid dynamics ,01 natural sciences ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,Boundary layer ,0203 mechanical engineering ,Incompressible flow ,0103 physical sciences ,Laminar-turbulent transition ,business ,Navier–Stokes equations ,Physics::Atmospheric and Oceanic Physics - Abstract
A new numerical method to efficiently simulate particulate interactions with high-speed transitional boundary-layer flows is presented. A particulate solver, employing Crowe’s correlation, is used ...
- Published
- 2021
15. Crow and Elliptic Instabilities in a Streamwise Vortex–Wall Interaction
- Author
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Jeffrey P. Bons and Stuart I. Benton
- Subjects
Physics ,Parallel flow ,Aspect ratio ,No-slip condition ,Direct numerical simulation ,Aerospace Engineering ,Mechanics ,Navier–Stokes equations ,Kinetic energy ,Vortex ,NACA airfoil - Published
- 2021
16. Simple Inflow Sponge for Faster Turbulent Boundary-Layer Development
- Author
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Johan Larsson
- Subjects
Convection ,Boundary layer ,Shear stress ,Aerospace Engineering ,Development (differential geometry) ,Reynolds stress ,Inflow ,Mechanics ,Boundary layer thickness ,Navier–Stokes equations ,Geology - Published
- 2021
17. Assessment of Low-Dissipative Shock-Capturing Schemes for the Compressible Taylor–Green Vortex
- Author
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Neil D. Sandham and David J. Lusher
- Subjects
Shock wave ,Physics ,020301 aerospace & aeronautics ,ComputingMilieux_THECOMPUTINGPROFESSION ,Shock (fluid dynamics) ,Turbulence ,Direct numerical simulation ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,01 natural sciences ,Moving shock ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,0203 mechanical engineering ,0103 physical sciences ,Dissipative system ,Taylor–Green vortex ,Navier–Stokes equations - Abstract
Interactions between shock waves and turbulence are ubiquitous in high-speed flows of practical aeronautical interest. Recent advances in computational power have made implicit large-eddy simulatio...
- Published
- 2021
18. Characteristic Scales in Shock–Turbulence Interaction
- Author
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Jean-Pierre Hickey, Francis Lacombe, Subhajit Roy, Sebastian Karl, and Krishnendu Sinha
- Subjects
Physics ,020301 aerospace & aeronautics ,Turbulence ,Direct numerical simulation ,Aerospace Engineering ,Reynolds number ,Shock thickness ,02 engineering and technology ,Mechanics ,Kinetic energy ,01 natural sciences ,010305 fluids & plasmas ,Shock (mechanics) ,Physics::Fluid Dynamics ,symbols.namesake ,0203 mechanical engineering ,0103 physical sciences ,symbols ,Mean flow ,Navier–Stokes equations ,Reynolds-averaged Navier–Stokes equations - Abstract
A semi-empirical estimate of the time-averaged thickness of a planar shock embedded in a turbulent mean flow is presented in an effort to quantify the characteristic time and length scales for turb...
- Published
- 2021
19. Single-Pixel Particle Image Velocimetry for Characterization of Dielectric Barrier Discharge Plasma Actuators
- Author
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Noritsugu Kubo, Hirokazu Kawabata, Atsushi Komuro, Koki Nankai, Hiroyuki Nishida, Yuta Ozawa, Taku Nonomura, Takuma Ibuki, and Kotsonis Marios
- Subjects
Materials science ,business.industry ,Aerospace Engineering ,Mechanics ,Dielectric barrier discharge ,Computational fluid dynamics ,Pressure coefficient ,law.invention ,Particle image velocimetry ,law ,Parasitic drag ,Navier–Stokes equations ,Alternating current ,business ,Plasma actuator - Published
- 2020
20. Entropy-Adjoint p-Adaptive Discontinuous Galerkin Method for the Under-Resolved Simulation of Turbulent Flows
- Author
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Francesco Bassi, Alessandro Colombo, G. Noventa, Antonio Ghidoni, Andrea Crivellini, Krzysztof J. Fidkowski, and Matteo Franciolini
- Subjects
020301 aerospace & aeronautics ,Drag coefficient ,Turbulence ,Mathematical analysis ,Direct numerical simulation ,Aerospace Engineering ,02 engineering and technology ,01 natural sciences ,Pressure coefficient ,010305 fluids & plasmas ,0203 mechanical engineering ,Incompressible flow ,Discontinuous Galerkin method ,0103 physical sciences ,Settore ING-IND/06 - Fluidodinamica ,Entropy (energy dispersal) ,Navier–Stokes equations ,Mathematics - Abstract
This paper presents an approach to mesh adaptation suitable for scale-resolving simulations. The methodology is based on the entropy-adjoint approach, which corresponds to a standard output-based a...
- Published
- 2020
21. Reduced-Order Modeling for Dynamic Mode Decomposition Without an Arbitrary Sparsity Parameter
- Author
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John Graff, Tarunraj Singh, Francis D. Lagor, and Matthew Ringuette
- Subjects
020301 aerospace & aeronautics ,business.industry ,Computer science ,Modal analysis ,Aerospace Engineering ,02 engineering and technology ,Computational fluid dynamics ,01 natural sciences ,010305 fluids & plasmas ,Set (abstract data type) ,Nonlinear system ,0203 mechanical engineering ,0103 physical sciences ,Singular value decomposition ,Dynamic mode decomposition ,Navier–Stokes equations ,business ,Algorithm ,Selection algorithm - Abstract
Dynamic mode decomposition (DMD) yields a linear, approximate model of a system’s dynamics that is built from data. This paper seeks to reduce the order of this model by identifying a reduced set o...
- Published
- 2020
22. Stability Analysis of a Laminar Wall Jet in a Decelerating External Flow
- Author
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Akshay Vishwas Gholap and B. R. Vinoth
- Subjects
Adverse pressure gradient ,Jet (fluid) ,Materials science ,Rocket engine nozzle ,Aerospace Engineering ,Boundary layer control ,Laminar flow ,Mechanics ,Combustion chamber ,Navier–Stokes equations ,External flow - Published
- 2020
23. Numerical Modeling of Instability and Breakup of Elliptical Liquid Jets
- Author
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Ghobad Amini, M.R. Morad, and Mahdi Nasiri
- Subjects
Physics ,020301 aerospace & aeronautics ,Finite volume method ,Computer simulation ,Adaptive mesh refinement ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,Breakup ,01 natural sciences ,Instability ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,Surface tension ,0203 mechanical engineering ,0103 physical sciences ,Navier–Stokes equations ,Body orifice - Abstract
Numerical simulations are performed to provide an in-depth insight into the effect of instabilities on liquid jets discharging from elliptical orifices. The axis-switching phenomenon and breakup ar...
- Published
- 2020
24. Numerical Modeling Screen for Flow and Noise Control Around Tandem Cylinders
- Author
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Song Fu, Wenqing Zhu, and Zhixiang Xiao
- Subjects
Physics ,Noise reduction ,High-lift device ,Mathematics::Analysis of PDEs ,Direct numerical simulation ,Aerospace Engineering ,Mechanics ,Physics::Fluid Dynamics ,symbols.namesake ,Flow (mathematics) ,symbols ,Noise control ,Strouhal number ,Navier–Stokes equations ,Reynolds-averaged Navier–Stokes equations - Abstract
Noise reduction by screens applied to tandem cylinders was studied numerically. The screen was modeled by adding source terms to the Navier–Stokes equations. To validate the screen model, a windbre...
- Published
- 2020
25. Slip Flow Models for Gas Flows in Rectangular, Trapezoidal, and Hexagonal Microchannels
- Author
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Waqar A. Khan and M. Michael Yovanovich
- Subjects
020301 aerospace & aeronautics ,Materials science ,Aerospace Engineering ,02 engineering and technology ,Heat transfer coefficient ,Mechanics ,Computer Science::Numerical Analysis ,01 natural sciences ,Aspect ratio (image) ,Isothermal process ,Mathematics::Numerical Analysis ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,0203 mechanical engineering ,0103 physical sciences ,Compressibility ,No-slip condition ,Fanning friction factor ,Shear stress ,Navier–Stokes equations - Abstract
A compact slip flow model is proposed for isothermal, incompressible gas flows in long microchannels of rectangular (square), trapezoidal (triangular), and double-trapezoidal (rhombic) cross sectio...
- Published
- 2020
26. Shock-Induced Flow Separation in an Overexpanded Supersonic Planar Nozzle
- Author
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Shashi B. Verma, Abdellah Hadjadj, B. Zebiri, and A. Piquet
- Subjects
020301 aerospace & aeronautics ,Materials science ,Shock (fluid dynamics) ,Nozzle ,Direct numerical simulation ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,01 natural sciences ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,Flow separation ,symbols.namesake ,0203 mechanical engineering ,0103 physical sciences ,Physics::Atomic and Molecular Clusters ,symbols ,Strouhal number ,Supersonic speed ,Navier–Stokes equations ,Reynolds-averaged Navier–Stokes equations ,Astrophysics::Galaxy Astrophysics - Abstract
Shock-induced flow separation in an overexpanded supersonic planar nozzle is investigated numerically by means of three-dimensional wall-modeled large-eddy simulations (LES). The objective of this ...
- Published
- 2020
27. Mechanisms for Absolute Instabilities in Uniform and Nonuniform Density Swirling Flows
- Author
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Anjay Kumar Mishra
- Subjects
Convection ,Physics ,Batchelor vortex ,Flow (psychology) ,Mathematics::Analysis of PDEs ,Aerospace Engineering ,Spectral density ,Mechanics ,Kinetic energy ,Instability ,Quantitative Biology::Cell Behavior ,Physics::Fluid Dynamics ,Incompressible flow ,Navier–Stokes equations - Abstract
In this paper, transitions from convective to absolute instability in post-vortex-breakdown swirling flow with nonuniform density are investigated using linear stability analysis. Addition of swirl...
- Published
- 2020
28. Resolvent Analysis of Compressible Laminar and Turbulent Cavity Flows
- Author
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Lawrence Ukeiley, Qiong Liu, Yiyang Sun, Kunihiko Taira, and Louis N. Cattafesta
- Subjects
Physics ,020301 aerospace & aeronautics ,Turbulence ,Fluid Dynamics (physics.flu-dyn) ,Direct numerical simulation ,FOS: Physical sciences ,Aerospace Engineering ,Laminar flow ,Harmonic (mathematics) ,Physics - Fluid Dynamics ,02 engineering and technology ,Mechanics ,Boundary layer thickness ,01 natural sciences ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,0203 mechanical engineering ,0103 physical sciences ,Two-dimensional flow ,Navier–Stokes equations ,Resolvent - Abstract
The present work demonstrates the use of resolvent analysis to obtain physical insights for open-cavity flows. Resolvent analysis identifies the flow response to harmonic forcing, given a steady base state, in terms of the response and forcing modes and the amplification gain. The response and forcing modes reveal the spatial structures associated with this amplification process. In this study, we perform resolvent analysis on both laminar and turbulent flows over a rectangular cavity with length-to-depth ratio of $L/D=6$ at a free stream Mach number of $M_\infty=0.6$ in a spanwise periodic setting. Based on the dominant instability of the base state, a discount parameter is introduced to resolvent analysis to examine the harmonic characteristics over a finite-time window. We first uncover the underlying flow physics and interpret findings from laminar flow at $Re_D = 502$. These findings from laminar flow are extended to a more practical cavity flow example at a much higher Reynolds number of $Re_D = 10^4$. The features of response and forcing modes from the laminar and turbulent cavity flows are similar to the spatial structures from the laminar analysis. We further find that the large amplification of energy in flow response is associated with high frequency for turbulent flow, while the flow is more responsive to low frequency excitation in the laminar case. These findings from resolvent analysis provide valuable insights for flow control studies with regard to parameter selection and placement of actuators and sensors.
- Published
- 2020
29. Takeoff Simulation of Lift+Cruise Air Taxi by Using Navier–Stokes Equations
- Author
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Guru P. Guruswamy
- Subjects
020301 aerospace & aeronautics ,Angle of attack ,Computation ,Cruise ,Aerospace Engineering ,Lift (soaring) ,02 engineering and technology ,01 natural sciences ,010305 fluids & plasmas ,0203 mechanical engineering ,0103 physical sciences ,Takeoff ,Navier–Stokes equations ,Reynolds-averaged Navier–Stokes equations ,Geology ,Marine engineering - Abstract
Takeoff trajectory computations are made for a typical lift+cruise small transport aircraft suitable for an urban air taxi. The selected wing–body model consists of lifting and pushing propellers. ...
- Published
- 2020
30. Resolvent Analysis for Turbulent Channel Flow with Riblets
- Author
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Mitul Luhar and Andrew Chavarin
- Subjects
Physics ,020301 aerospace & aeronautics ,Turbulence ,Mathematical analysis ,Fluid Dynamics (physics.flu-dyn) ,Mathematics::Analysis of PDEs ,Direct numerical simulation ,FOS: Physical sciences ,Aerospace Engineering ,Physics - Fluid Dynamics ,02 engineering and technology ,Resolvent formalism ,01 natural sciences ,010305 fluids & plasmas ,Vortex ,Physics::Fluid Dynamics ,0203 mechanical engineering ,0103 physical sciences ,Singular value decomposition ,Shape optimization ,Navier–Stokes equations ,Resolvent - Abstract
This paper extends the resolvent formalism for wall turbulence proposed by McKeon and Sharma(2010) to account for the effect of streamwise-constant riblets. Under the resolvent formulation, the Navier-Stokes equations are interpreted as a forcing-response system: the nonlinear convective term is interpreted as a feedback forcing on the remaining linear terms, which generates a velocity and pressure response. A gain-based decomposition of the linear forcing-response transfer function --- the resolvent operator --- yields highly amplified velocity and pressure modes, which can be considered key building blocks of the turbulent flow field. Previous work has shown that these high-gain modes provide substantial insight into turbulence statistics, structure, and control of smooth-walled flows. To introduce the effect of riblets within this framework, a linear spatially-varying body force is added to the governing equations. In other words, volume penalization is used to approximate the surface features. Predictions for spanwise-periodic and streamwise-constant riblets show that specific high-gain modes identified from the modified governing equations reproduce observations made in prior direct numerical simulations with limited computation. The deterioration in performance with increasing riblet size is predicted well and so is the emergence of spanwise rollers resembling Kelvin-Helmholtz vortices. This new modeling framework is also used to pursue limited riblet shape optimization., 21 pages, 8 figures
- Published
- 2020
31. Mean and Unsteady Flow Reconstruction Using Data-Assimilation and Resolvent Analysis
- Author
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Peter J. Schmid, Sean Symon, Denis Sipp, Beverley McKeon, Graduate Aeronautical Laboratories (GALCIT), California Institute of Technology (CALTECH), DAAA, ONERA, Université Paris Saclay (COmUE) [Meudon], ONERA-Université Paris-Saclay, Department of Mathematics [Imperial College London], and Imperial College London
- Subjects
Aerospace Engineering ,02 engineering and technology ,Computational fluid dynamics ,01 natural sciences ,Kármán vortex street ,Flow measurement ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,[SPI]Engineering Sciences [physics] ,symbols.namesake ,ASSIMILATION DONNEES ,0203 mechanical engineering ,0103 physical sciences ,Navier–Stokes equations ,Mathematics ,Resolvent ,[PHYS]Physics [physics] ,020301 aerospace & aeronautics ,Turbulence ,business.industry ,Reynolds number ,Mechanics ,STABILITE HYDRODYNAMIQUE ,symbols ,Reynolds-averaged Navier–Stokes equations ,business - Abstract
International audience; A methodology is presented that exploits both data-assimilation techniques and resolvent analysis for reconstructing turbulent flows, containing organized structures,with an efficient set of measurements. The mean (time-averaged) flow is obtained using variational data-assimilation that minimizes the discrepancy between a limited set of flowmeasurements, generally from an experiment, and a numerical simulation of the Navier–Stokes equations. The fluctuations are educed from resolvent analysis and time-resolved data at a single point in the flow. Resolvent analysis also guides where measurements of the mean and fluctuating quantities are needed for efficient reconstruction of a simple example case study: flow around a circular cylinder at a Reynolds number ofRe = 100.For this flow, resolvent analysis reveals that the leading singular value,most amplifiedmodes, and themean profile for 47 < Re < 320 scalewith the shedding frequency and length of the recirculation bubble. A relationship between these two parameters reinforces the notion that a wave maker, forwhich the length scaleswith the recirculation bubble, determines the frequency and regionwhere an instability mechanism is active. The procedure offers away to choose sensor locations that capture the main coherent structures of a flow and a method for computing mean pressure by using correctly weighted resolvent modes.
- Published
- 2020
32. Shock-Stable Roe Scheme Combining Entropy Fix and Rotated Riemann Solver
- Author
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Xuesong Li, Chun-wei Gu, Xiaodong Ren, and Yu-Hong Li
- Subjects
Finite volume method ,Mathematics::Operator Algebras ,Astrophysics::High Energy Astrophysical Phenomena ,Aerospace Engineering ,Physics::Data Analysis ,Statistics and Probability ,Compressible flow ,Instability ,Moving shock ,Riemann solver ,Roe solver ,symbols.namesake ,Mathematics::K-Theory and Homology ,symbols ,Mathematics::Metric Geometry ,Entropy (information theory) ,Applied mathematics ,Navier–Stokes equations ,Mathematics - Abstract
The Roe scheme is an important shock-capturing scheme that is known for its good performance. However, the classical Roe scheme suffers from disastrous problems, such as shock instability for hyper...
- Published
- 2020
33. Stability Analysis of the Swirling Majdalani–Fist Mean Flowfield in Solid Rocket Motors
- Author
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Wesley A. Gibson and Trevor S. Elliott
- Subjects
Propellant ,020301 aerospace & aeronautics ,Materials science ,Fist ,Aerospace Engineering ,02 engineering and technology ,Mechanics ,01 natural sciences ,Stability (probability) ,010305 fluids & plasmas ,Chamber pressure ,Burn rate (chemistry) ,0203 mechanical engineering ,0103 physical sciences ,Solid-fuel rocket ,Navier–Stokes equations ,Spinning - Abstract
Numerous studies have been performed to show the effects of spinning and swirling flows on increased flight stability characteristics, higher propellant consumption, increased burn rate, greater ch...
- Published
- 2019
34. Relation Between the Finite-Time Lyapunov Exponent and Acoustic Wave
- Author
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Han Shuaibin, Shuhai Zhang, and Luo Yong
- Subjects
Physics ,020301 aerospace & aeronautics ,business.industry ,Mathematical analysis ,Aerospace Engineering ,02 engineering and technology ,Acoustic wave ,Lyapunov exponent ,Computational fluid dynamics ,01 natural sciences ,Jet noise ,010305 fluids & plasmas ,Nonlinear Sciences::Chaotic Dynamics ,Flow separation ,symbols.namesake ,0203 mechanical engineering ,Computer Science::Systems and Control ,0103 physical sciences ,symbols ,Two-dimensional flow ,Navier–Stokes equations ,Spline interpolation ,business - Abstract
The relation between different time scales of the finite-time Lyapunov exponent (FTLE) and the acoustic wave is studied. Gonzalez et al.’s proposition (“Finite-Time Lyapunov Exponent-Based Analysis...
- Published
- 2019
35. Convergence of Two Internal Mean Flow Solutions for Spinning Rocket Motors
- Author
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Orie M. Cecil and Joseph Majdalani
- Subjects
Physics ,020301 aerospace & aeronautics ,business.product_category ,Computer simulation ,Aerospace Engineering ,Reynolds number ,02 engineering and technology ,Mechanics ,Vorticity ,01 natural sciences ,Physics::Geophysics ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,symbols.namesake ,0203 mechanical engineering ,Rocket ,0103 physical sciences ,symbols ,Mean flow ,Solid-fuel rocket ,business ,Navier–Stokes equations ,Spinning - Abstract
In this work, two mathematical procedures are used to derive the incompressible mean flow profile in a simulated solid rocket motor that is modeled as a spinning right-cylindrical porous tube. The ...
- Published
- 2019
36. Numerical Investigation of the Effects of Nonuniform Premixing on Shock-Induced Combustion.
- Author
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Kazuya Iwata, Shinji Nakaya, and Mitsuhiro Tsue
- Subjects
- *
NAVIER-Stokes equations , *GAUSSIAN function , *MOLE fraction , *HYPERSONIC flow , *CHEMICAL kinetics , *MACH number - Abstract
A parametric numerical study was performed to study effects of the nonuniform premixing of a hydrogen-air mixture on the structures of oblique detonation and shock-induced combustion formed on the surface of a hypersonic spherical projectile. Axisymmetric two-dimensional Navier-Stokes equations were solved with a detailed chemical kinetic mechanism involving nine species. A smooth-front oblique detonation formed on the hypersonic projectile at a Mach number of 6.46 under a uniformly stoichiometric condition was taken as the completely premixed case. For nonuniform cases, hydrogen mole fraction was distributed at the inlet boundary based on the Gaussian function. As the nonuniformity was increased, the following occurred: 1) deformed oblique detonation, 2) oscillating shock-induced combustions with nonuniform corrugated structures, 3) steady shock-induced combustions with (and without) the minimum induction length located outside the centerline, and 4) nose-confined combustion. Analyses on distributions of induction lengths combined with zero-dimensional additional simulations demonstrated that a reactivity gradient became strongly influential on the nonuniformly premixed structures as the nonuniformity was increased, and finally the postshock flowfield became the most determinant factor. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
37. Well-Balanced, Conservative Finite Difference Algorithm for Atmospheric Flows.
- Author
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Ghosh, Debojyoti and Constantinescu, Emil M.
- Subjects
- *
CONVECTIVE flow , *WEATHER forecasting , *FINITE difference method , *EULER equations , *NAVIER-Stokes equations , *CONSERVATION laws (Physics) - Abstract
The numerical simulation of meso-, convective-, and microscale atmospheric flows requires the solution of the Euler or the Navier-Stokes equations. Nonhydrostatic weather prediction algorithms often solve the equations in terms of derived quantities such as Exner pressure and potential temperature (and are thus not conservative) and/or as perturbations to the hydrostatically balanced equilibrium state. This paper presents a well-balanced, conservative finite difference formulation for the Euler equations with a gravitational source term, where the governing equations are solved as conservation laws for mass, momentum, and energy. Preservation of the hydrostatic balance to machine precision by the discretized equations is essential because atmospheric phenomena are often small perturbations to this balance. The proposed algorithm uses the weighted essentially nonoscillatory and compact-reconstruction weighted essentially nonoscillatory schemes for spatial discretization that yields high-order accurate solutions for smooth flows and is essentially nonoscillatory across strong gradients; however, the well-balanced formulation may be used with other conservative finite difference methods. The performance of the algorithm is demonstrated on test problems as well as benchmark atmospheric flow problems, and the results are verified with those in the literature. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
38. Active Flow Control for Interaction Noise Reduction of Contra-Rotating Open Rotors.
- Author
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Akkermans, R. A. D., Stuermer, A., and Delfs, J. W.
- Subjects
- *
NOISE control , *WAKES (Aerodynamics) , *TRAILING edges (Aerodynamics) , *NAVIER-Stokes equations , *REYNOLDS number - Abstract
A possible way to decrease interaction tone noise of a contra-rotating open rotor is through the application of trailing-edge blowing by reducing the momentum deficit of the front rotor wake, and therefore its interaction with the aft rotor. In this contribution, an assessment of front-rotor trailing-edge blowing is presented for the reduction of contra-rotating open-rotor interaction noise. For this purpose, the German Aerospace Center designed a generic contra-rotating open rotor that has been modified to include trailing-edge blowing at the front rotor blades. With the German Aerospace Center computational fluid dynamics code TAU, unsteady Reynolds-averaged Navier-Stokes simulations have been made of the baseline and the trailing-edge blowing configuration. Subsequently, an aeroacoustic analysis has been performed with the Ffowcs-Williams/Hawkings tool APSIM+ for both configurations. The results show negligible differences of the aerodynamic performance, with significantly lower unsteady loading of the aft rotor when the trailing-edge blowing technique is active. The aeroacoustic results illustrate that the interaction tones are notably ameliorated; that is, a reduction over almost the complete polar angle is seen when trailing-edge blowing is active. With respect to the A-weighted overall sound pressure level, a reduction of approximately 2.5 dBA in the maximum level for the trailing-edge blowing configuration is achieved for the considered geometry. Noise reductions up to 5 dBA are displayed in the up- and downstream directions, which mainly arise from reduced interaction tones caused by the trailing-edge blowing technique. The decreased noise radiation with trailing-edge blowing mainly stems from a reduction in the first two interaction tones. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
39. Detailed Modeling of Plasmas for Computational Aerodynamics.
- Author
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Parent, Bernard, Shneider, Mikhail N., and Macheret, Sergey O.
- Subjects
- *
PLASMA flow , *COMPUTATIONAL aerodynamics , *TRANSPORT equation , *NAVIER-Stokes equations , *MAGNETIC fields , *GAUSS'S law (Electric fields) - Abstract
As demonstrated by Parent, B., et al., ("Electron and Ion Transport Equations in Computational Weakly-Ionized Plasmadynamics," Journal of Computational Physics, Vol. 54, 2014, pp. 51-69), the computational efficiency of the drift-diffusion plasma model can be increased significantly by recasting the equations such that the potential is obtained from Ohm's law rather than Gauss's law and by adding source terms to the ion transport equations to ensure that Gauss's law is satisfied. Not only did doing so reduce the stiffness of the system, leading to faster convergence, but it also resulted in a higher resolution of the converged solution. The combined gains in convergence acceleration and resolution amounted to a hundredfold increase in computational efficiency when simulating nonneutral plasmas with significant quasi-neutral regions. In this paper, it is shown that such a recast of the drift-diffusion model has yet another advantage: its lack of stiffness permits the electron and ion transport equations to be integrated in coupled form along with the Favre-averaged Navier-Stokes equations. Test cases relevant to plasma aerodynamics (including nonneutral sheaths, magnetic field effects, and negative ions) demonstrate that the proposed coupled system of equations can be converged in essentially the same number of iterations as that describing nonionized flows while not sacrificing the generality of the drift-diffusion model. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
40. Numerical Investigation of Flow Control for a Flat-Window Cylindrical Turret.
- Author
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Morgan, Philip E. and Visbal, Miguel R.
- Subjects
- *
TURRETS , *LARGE eddy simulation models , *WALL jets , *NAVIER-Stokes equations , *VELOCITY - Abstract
This work presents multiple high-fidelity large-eddy simulations of flow over a cylindrical turret with a flat window oriented at two angles, 90 and 100 deg. For the 100 deg case, additional computations were performed to investigate the effectiveness of multiple types of flow control including rows of short pins, tall pins, and steady blowing wall jets inserted upstream of the turret as well as a steady suction slot at the leading edge of the flat window. The large-eddy simulation computations were obtained using a well-validated high-order Navier-Stokes flow solver employing a sixth-order compact spatial discretization in conjunction with an eighth-order low-pass spatial filter. Overall, large-eddy simulation solutions compared favorably to experimental time mean and fluctuating velocity profiles as well as the general flow structure at both angles. Additionally, valuable insight was obtained on how rows of pins, blowing jets, and steady slot suction control flow separation. Slot suction at the upwind aperture lip was determined to be more effective than rows of pins and blowing jets in controlling flow separation, which is critical in reducing aero-optical aberrations. Steady slot suction was capable of eliminating massive separation at a larger look angle of 120 deg. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
41. Grid-Generation Algorithms for Complex Glaze-Ice Shapes Reynolds-Averaged Navier-Stokes Simulations.
- Author
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Hasanzadeh, K., Laurendeau, E., and Paraschivoiu, I.
- Subjects
- *
NUMERICAL grid generation (Numerical analysis) , *NAVIER-Stokes equations , *ALGORITHMS , *GLAZE (Meteorology) , *REYNOLDS number , *COMPUTER simulation - Abstract
The paper presents the developments of novel mesh generation algorithms over complex glaze-ice shapes containing multicurvature ice-accretion geometries, such as single/double ice horns. The twofold approaches tackle surface geometry discretization as well as field mesh generation. First, an adaptive curvilinear curvature control algorithm is constructed, solving a one-dimensional elliptic partial differential equation with periodic source terms. This method controls the arc length grid spacing, so that high convex and concave curvature regions around ice horns are appropriately captured, and is shown to effectively treat the grid shock problem. Second, a novel blended method is developed by defining combinations of source terms with two-dimensional elliptic equations. The source terms include two common control functions, Sorenson and Spekreijse, and an additional third source term to improve orthogonality. This blended method is shown to be very effective for improving grid quality metrics for complex glaze-ice meshes with Reynolds-averaged Navier-Stokes resolution. The performance in terms of residual reduction per nonlinear iteration of several solution algorithms (point-Jacobi, Gauss-Seidel, alternating direction implicit, point, and line Successive Over-Relaxation) are discussed within the context of a full multigrid operator. Details are given on the various formulations used in the linearization process. It is shown that this performance of the solution algorithm depends on the type of control function used. Finally, the algorithms are validated on standard complex experimental ice shapes, demonstrating the applicability of the methods. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
42. Plate-Angle Effects on Acoustic Waves from Supersonic Jets Impinging on Inclined Plates.
- Author
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Taku Nonomura, Hironori Honda, Yuki Nagata, Makoto Yamamoto, Seiichiro Morizawa, Shigeru Obayashi, and Kozo Fujii
- Subjects
- *
SUPERSONIC planes , *STRUCTURAL plates , *SOUND waves , *COMPRESSIBLE flow , *NAVIER-Stokes equations - Abstract
The effects of plate angle on acoustic waves from a supersonic jet impinging on an inclined flat plate at angles of 30, 45, and 60 deg are numerically investigated. Three-dimensional compressible Navier-Stokes equations are solved using the modified weighted compact nonlinear scheme. Similar to previous studies, the acoustic fields indicate that there are at least three types of acoustic waves in all of the cases considered herein: 1) Mach waves generated from the shear layer of the main jet, 2) acoustic waves generated from the impingement region, and 3) Mach waves generated from the shear layer of the supersonic flow downstream of the jet impingement. Acoustic waves (2) are generated from two different acoustic sources: 1) the interaction between the plate shock wave and the shear layer, and 2) the interaction between the bubble-induced shock waves and the shear layer. The frequency characteristics of acoustic waves are related to the thickness of the shear layer in the impingement region. The results of the present study indicate the source location and the characteristics of acoustic waves (2) for various flat-plate angles. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
43. Large-Eddy Simulation of a Wing-Body Junction Flow.
- Author
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Sungmin Ryu, Emory, Michael, Iaccarino, Gianluca, Campos, Alejandro, and Duraisamy, Karthik
- Subjects
- *
LARGE eddy simulation models , *TURBULENT flow , *TURBULENT boundary layer , *NAVIER-Stokes equations , *UNSTEADY flow - Abstract
Large-eddy simulations of a wing-body junction flow experimentally studied are presented. Wall junction flows are common in engineering applications, but the flow physics at the corners of the junction is not well understood. Moreover, in these types of flows, the performance of the subgrid-scale models frequently used for large-eddy simulations is not well characterized. To address these issues, large-eddy simulations of the wing-body junction are performed, with multiple levels of grid resolution. Two-dimensional turbulent profiles are generated every time step and introduced to the inlet plane of the computation domain to mimic the unsteady turbulent boundary layer. A Reynolds-averaged Navier-Stokes calculation is used as a precursor to initialize the flowfield of the large-eddy simulations. Then, large-eddy simulations with the Vreman model is performed and the simulation results are analyzed with respect to three specific goals: compare the computed and measured turbulence statistics in the junction region, investigate the flow physics in the corner region, and discuss the potential reasons for the inaccuracies of the subgrid-scale model. The sensitivity of the predicted results to inflow conditions and to subgrid-scale modeling is also investigated. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
44. Base Flow of Circular Cylinder at Hypersonic Speeds.
- Author
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Gisu Park, Gai, Sudhir L., and Neely, Andrew J.
- Subjects
- *
HYPERSONIC aerodynamics , *GROUNDWATER flow , *SHOCK tunnels , *REYNOLDS number , *AEROTHERMODYNAMICS , *NAVIER-Stokes equations - Abstract
The paper presents a computational and an experimental investigation of base flow of a circular cylinder at hypersonic speeds. Effects of chemistry and wall temperature on the flow in the base region, at low to high enthalpies, are discussed. The experiments were conducted in a shock tunnel at a nominal Mach number of 10. Freestream Reynolds numbers based on cylinder diameter were 0.97×104 and 3.74×104, respectively, and the total specific enthalpies were 13.35 and 3.94 MJ/kg, respectively. The test gas was air. The surface pressure and heat flux were measured using a cold wall model. Equilibrium and thermal as well as chemical nonequilibrium numerical simulations were performed using a Navier-Stokes equations-based computational fluid dynamics code. Both a cold wall and adiabatic wall were considered. Particular emphasis was placed on the wake structure, vorticity distribution, wake centerline aerothermodynamic properties, and surface data. The existing low-enthalpy cold hypersonic wind-tunnel experimental data are included for comparison. The simulations predicted the effect of chemistry on the near wake to be negligible for the low-enthalpy, high Reynolds number flow but more significant for the high-enthalpy, low Reynolds number flow. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
45. Investigation of the Unsteady Flow and Noise Generation in a Slat Cove.
- Author
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Terracol, M., Manoha, E., and Lemoine, B.
- Subjects
- *
UNSTEADY flow , *NOISE , *NAVIER-Stokes equations , *LARGE eddy simulation models , *AEROACOUSTICS , *REYNOLDS number - Abstract
his study presents hybrid Reynolds-averaged Navier-Stokes/large-eddy simulations of the unsteady flow and noise-generation phenomena in the slat cove of a high-lift wing profile. These computations are part of a joint numerical/experimental aeroacoustics collaborative program dedicated to slat-flow analysis. A dedicated two-element wing profile (slat plus main body) has been designed to isolate slat noise from other possible sources (e.g., the flap), while minimizing mean flow deflection effects, to improve the fidelity of open-jet wind-tunnel measurements. The design of this two-element airfoil has been performed numerically, using an optimization process based on steady Reynolds-averaged Navier-Stokes calculations. This airfoil has been investigated experimentally at the École Centrale de Lyon open jet facility. Unsteady zonal hybrid Reynolds-averaged Navier-Stokes/large-eddy simulations have been performed to provide a comprehensive description of the unsteady flow inside the slat cove, focusing on the noise-generation processes. A detailed analysis of the physics of the unsteady flow inside the slat cove is presented as well as a comparison of numerical results with available experimental data. The pressure spectra associated with the slat-cove flow are characterized by several tonal peaks emerging from the underlying broadband content. The existence of such peaks is attributed to a feedback loop involving the main shear layer inside the slat cove. A theoretical law is proposed to predict the associated tonal frequencies and assessed at the end of the paper. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
46. Numerical Study of Transient Deformation and Drag Characteristics of a Decelerating Droplet.
- Author
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Qiulin Qu, Pingchang Ma, Peiqing Liu, Shaowei Li, and Agarwal, Ramesh K.
- Subjects
- *
UNSTEADY flow , *DRAG (Aerodynamics) , *DEFORMATIONS (Mechanics) , *COMPUTATIONAL fluid dynamics , *AXIAL flow , *NAVIER-Stokes equations , *INCOMPRESSIBLE flow - Abstract
A numerical study of the transient deformation and drag properties of impulsively started decelerating drops in axisymmetric flows is conducted. The incompressible Navier-Stokes equations coupled with the volume of fraction method are solved. The differences in the deformation and drag characteristics between the accelerating and decelerating drops are elucidated. The Weber number We has a significant influence on the drag properties of the round drops; however, the effect of the Ohnesorge number Oh is small. A dynamic droplet drag model is provided based on the computational fluid dynamics results to predict the drag coefficient of a decelerating drop. In addition, the flow of liquid drops past an RAE2822 airfoil is considered, and its drag is evaluated using the drag model. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
47. Simulations of Cellular Detonation Interaction with Turbulent Flows.
- Author
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Tai Jin, Kun Luo, Qi Dai, and Jianren Fan
- Subjects
- *
TURBULENT flow , *DETONATION waves , *NAVIER-Stokes equations , *COMPUTER simulation , *ENTROPY - Abstract
Comparative studies of different inflow turbulent forcing effects on detonation front dynamics and the flow statistics are conducted through direct numerical simulations of turbulence-detonation/shock interactions. High-resolution bandwidth-optimized weighted essentially nonoscillatory scheme of spatial discretization and total variation diminishing temporal integration are used to solve the three-dimensional chemically reactive Navier-Stokes equations. The turbulent inflow vertical and entropic forcing effects on the three-dimensional detonation front and cellular structures are first analyzed. The influence of the inflow forcing on the generated regular cell patterns with diamond shape is compared. The vortex behind the detonation is quite different from that behind shock waves with the same inflow fluctuations. This also results in the larger increase of velocity variances downstream of detonation than the turbulence-shock case. The similar trend can also be found for the Taylor microscales. Effects of different inflow turbulence intensities are investigated. The irregular cellular detonations under vertical inflow forcing are also analyzed. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
48. Investigation of a Nonlinear Reynolds-Averaged Navier-Stokes Closure for Corner Flows.
- Author
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Bordji, Mehdi, Gand, Fabien, Deck, Sébastien, and Brunet, Vincent
- Subjects
- *
NONLINEAR systems , *REYNOLDS number , *NAVIER-Stokes equations , *COMPUTER simulation , *BOUNDARY layer equations - Abstract
This study gives an insight into the corner flow around a wing mounted on a flat plate. Reynolds-averaged Navier-Stokes simulations and experimental data are compared for a Reynolds number based on the wing chord (Rec equal to 3×105 and an angle of attack of 12 deg. The flat plate and wing boundary layers are fully turbulent, and the Reynolds number based on the momentum thickness of the incoming boundary layer is equal to Re=2200 It is shown that the Reynolds-averaged Navier-Stokes simulation using the Spalart-Allmaras model with the Boussinesq closure predicts a massive corner flow separation, whereas on the experimental side, the separation is confined to a small area. Better predictions are obtained when resorting to the Spalart-Allmaras model with the quadratic constitutive relation closure. A comprehensive investigation of the numerical results using the experimental data is performed to get a better understanding of the behavior of the Spalart-Allmaras quadratic constitutive relation model for the present corner flow. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
49. Compact Disturbance Equations for Aeroacoustic Simulations.
- Author
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Yongle Du and Morris, Philip J.
- Subjects
- *
AEROACOUSTICS , *COMPUTER simulation , *REARRANGEMENT invariant spaces , *NAVIER-Stokes equations , *EULER equations - Abstract
A set of compact disturbance equations is developed for high-accuracy and efficient aeroacoustic simulations. The compact disturbance equations in their complete form are an exact rearrangement of the Navier-Stokes equations, but incorporate various linear and nonlinear disturbance equations such as the linearized Euler equations and the linearized Navier-Stokes equations. Their attractive mathematical properties facilitate the implementations of the full compact disturbance equations and the reduced equations in essentially the same form as in existing computational fluid dynamics solvers with minor modifications. A high-resolution unsteady simulation in a reduced domain can be embedded inside a less-expensive Reynolds-averaged Navier-Stokes solution of flow in a larger, possibly very complex, configuration. This results in a hybrid Reynolds-averaged Navier-Stokes/large-eddy simulation method with reduced meshing difficulties and computational costs, but improved grid qualities and more accurate boundary treatments for complex configurations. Furthermore, a seamless switch can be made between the embedded governing equations. This enables a novel closely coupled computational fluid dynamics/computational aeroacoustics approach for complex aeroacoustic applications, where the full Navier-Stokes equations can be recovered in the source region to capture the turbulent noise sources and the linearized Euler equations can be applied to simulate the noise propagation and possible reflection more accurately and efficiently. These benefits are demonstrated with three benchmark tests and excellent results are obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
50. Multipoint Aerodynamic Shape Optimization Investigations of the Common Research Model Wing.
- Author
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Kenway, Gaetan K. W. and Martins, Joaquim R. R. A.
- Subjects
- *
AERODYNAMICS , *STRUCTURAL optimization , *TRANSONIC flow , *PROBLEM solving , *REYNOLDS number , *NAVIER-Stokes equations - Abstract
The aerodynamic shape optimization of wings in transonic flow is an inherently challenging problem. In addition to the high computational cost of solving the Reynolds-averaged Navier-Stokes equations, there is a complex interdependence between the cross-sectional shape, wave drag, and viscous effects. Furthermore, it is necessary to perform multipoint optimizations to ensure good performance for a range of flight conditions. The choice of which flight conditions should be considered in a multipoint optimization and how many of these should be considered is still not well understood. This paper addresses this issue by solving a series of seven benchmark optimizations developed by the AIAA Aerodynamic Optimization Discussion Group. These optimization cases include a single-point optimization, four three-point optimizations, a nine-point optimization, and a five-point optimization. The optimizations consist in minimizing the weighted drag coefficient subject to lift, moment, thickness, and volume constraints. The optimizations were performed with respect to 768 shape design variables and an angle of attack for each flight condition. The single-point optimization was able to achieve an 8.1% drag reduction relative to the initial design, but it exhibited poor off-design performance. All the optimized designs were compared using a contour plot of ML/cD to evaluate the wing performance over the complete transonic flight operating envelope. Each of the four three-point optimizations successfully mitigated the poor off-design performance of the single-point design. However, the three-point optimization with widely spaced Mach numbers yielded a much more complex ML/cD contour with two distinct local maxima. Finally, the five- and nine-point optimizations yielded similar performance and the most robust off-design performance. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
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