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A hybrid pressure–density-based Mach uniform algorithm for 2D Euler equations on unstructured grids by using multi-moment finite volume method.
- Source :
-
Journal of Computational Physics . Apr2017, Vol. 335, p637-663. 27p. - Publication Year :
- 2017
-
Abstract
- We propose a novel Mach-uniform numerical model for 2D Euler equations on unstructured grids by using multi-moment finite volume method. The model integrates two key components newly developed to solve compressible flows on unstructured grids with improved accuracy and robustness. A new variant of AUSM scheme, so-called AUSM + -pcp ( AUSM + with pressure-correction projection), has been devised including a pressure-correction projection to the AUSM + flux splitting, which maintains the exact numerical conservativeness and works well for all Mach numbers. A novel 3th-order, non-oscillatory and less-dissipative reconstruction has been proposed by introducing a multi-dimensional limiting and a BVD (boundary variation diminishing) treatment to the VPM (volume integrated average (VIA) and point value (PV) based multi-moment) reconstruction. The resulting reconstruction scheme, the limited VPM-BVD formulation, is able to resolve both smooth and non-smooth solutions with high fidelity. Benchmark tests have been used to verify the present model. The numerical results substantiate the present model as an accurate and robust unstructured-grid formulation for flows of all Mach numbers. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MACH number
*ALGORITHMS
*FINITE volume method
*ROBUST statistics
*EULER equations
Subjects
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 335
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 121402351
- Full Text :
- https://doi.org/10.1016/j.jcp.2017.01.043