Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials
IOLLO, Angelo
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
PUPPO, Gabriella
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
IOLLO, Angelo
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]
PUPPO, Gabriella
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
< Reduce
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
Language
en
Article de revue
This item was published in
SIAM Journal on Scientific Computing. 2023-10-05, vol. 45, n° 5, p. A2632-A2656
Society for Industrial and Applied Mathematics
English Abstract
We present an implicit relaxation scheme for the simulation of compressible flows in all Mach number regimes based on a Jin–Xin relaxation approach. The main features of the proposed scheme lie in its simplicity and ...Read more >
We present an implicit relaxation scheme for the simulation of compressible flows in all Mach number regimes based on a Jin–Xin relaxation approach. The main features of the proposed scheme lie in its simplicity and effectiveness. Thanks to the linearity of the flux in the relaxation system, the time semidiscrete scheme can be reformulated in linear decoupled elliptic equations resulting in the same number of unknowns as in the original system. To obtain the correct numerical diffusion in all Mach number regimes, a convex combination of upwind and centered fluxes is applied. The numerical scheme is validated by applying it on a model for nonlinear elasticity. Simulations of gas and fluid flows, as well as deformations of compressible solids are carried out to assess the performance of the numerical scheme in accurately approximating material waves in different Mach regimes.Read less <
English Keywords
All-speed scheme
relaxation method
low Mach number limit
Eulerian elasticity
linearly implicit higher order schemes
All-speed scheme
Origin
Hal imported