A high order MOOD method for compressible Navier-Stokes equations: application to hypersonic viscous flows
| Autor: | Rodolphe Turpault, Thanh Ha Nguyen Bui |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Hypersonic speed
Computer science Numerical analysis 010103 numerical & computational mathematics Classification of discontinuities Condensed Matter Physics [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas Computer Science Applications Physics::Fluid Dynamics 010101 applied mathematics symbols.namesake 0103 physical sciences Compressibility Euler's formula symbols Applied mathematics Polygon mesh Supersonic speed 0101 mathematics ComputingMilieux_MISCELLANEOUS [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | Progress in Computational Fluid Dynamics Progress in Computational Fluid Dynamics, Inderscience, 2019, 19 (6), pp.337. ⟨10.1504/PCFD.2019.103257⟩ |
| ISSN: | 1468-4349 1741-5233 |
| DOI: | 10.1504/PCFD.2019.103257⟩ |
| Popis: | A very high-order finite volumes numerical method is designed for the simulation of compressible Navier-Stokes equations on 2D unstructured meshes. This scheme is based on the MOOD methods described for Euler's equations, it is an interesting alternative in the design of a scheme adapted to accurate simulations of flows with discontinuities, in all the domain. The main originality of our method is to include the viscosity/diffusion terms of Navier-Stokes equations. These terms may be discretised with the same accuracy of convection terms, though we will restrict ourselves to second-order here. It permits to treat the hypersonic viscous interactions with high accuracy. Numerical experiments are conducted to demonstrate the performance of the proposed method. |
| Databáze: | OpenAIRE |
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