1. Space–Time Conservation Element and Solution Element Method
- Author
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Wen, Chih-Yung, Jiang, Yazhong, and Shi, Lisong
- Subjects
Conservation element and solution element method ,Computational Fluid Dynamics ,Numerical Method ,High-order Scheme ,Space-time Coupling ,Hyperbolic Conservation Laws ,Shock Capturing ,Staggered Mesh ,Compressible Flow ,Material Interface ,Detonation Wave ,Computational Aeroacoustics ,CESE Method ,Numerical Simulation ,Unstructured Mesh ,Discontinuity Capturing ,Shock Wave ,Multiphase Flow ,Interfacial Instability ,thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists ,thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics ,thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMF Engineering: Mechanics of fluids ,thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TR Transport technology and trades::TRP Aerospace and aviation technology - Abstract
This open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.
- Published
- 2023
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