An asymptotic-preserving all-speed scheme for fluid dynamics and nonlinear elasticity
ABBATE, Emanuela
Université de Bordeaux [UB]
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Université de Bordeaux [UB]
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
IOLLO, Angelo
Université de Bordeaux [UB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Université de Bordeaux [UB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
PUPPO, Gabriella
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
ABBATE, Emanuela
Université de Bordeaux [UB]
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Université de Bordeaux [UB]
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
IOLLO, Angelo
Université de Bordeaux [UB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Université de Bordeaux [UB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
PUPPO, Gabriella
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
< Leer menos
Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA]
Idioma
en
Article de revue
Este ítem está publicado en
SIAM Journal on Scientific Computing. 2019-09-20
Society for Industrial and Applied Mathematics
Resumen en inglés
An implicit relaxation scheme is derived for the simulation of multi-dimensional flows at all Mach numbers, ranging from very small to order unity. An analytical proof of the asymptotic preserving property is proposed and ...Leer más >
An implicit relaxation scheme is derived for the simulation of multi-dimensional flows at all Mach numbers, ranging from very small to order unity. An analytical proof of the asymptotic preserving property is proposed and the divergence-free condition on the velocity in the incompressible regime is respected. The scheme possesses a general structure, which is independent of the considered state law and thus can be adopted to solve gas and fluid flows, but also deformations of elastic solids. This is achieved by adopting the Jin-Xin relaxation technique in order to get a linear transport operator. The spatial derivatives are thus independent of the EOS and an easy implementation of fully implicit time discretizations is possible. Several validations on multi-dimensional tests are presented, showing that the correct numerical viscosity is recovered in both the fully compressible and the low Mach regimes. An algorithm to perform grid adaptivity is also proposed, via the computation of the entropy residual of the scheme.< Leer menos
Palabras clave en inglés
Entropy production
Non-linear elasticity
Low Mach limit
All-speed schemes
Asymptotic-preserving property
Relaxation
Orígen
Importado de HalCentros de investigación