Compressible and incompressible limits for hyperbolic systems with relaxation

M. K. Banda; M. Seaïd; A. Klar; L. Pareschi

doi:10.1016/j.cam.2003.05.013

Compressible and incompressible limits for hyperbolic systems with relaxation

M. K. Banda^*
, M. Seaïd
, A. Klar
, L. Pareschi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

A general relaxation system which yields compressible and incompressible Euler and Navier-Stokes equations in the limit is presented. Such a system can be used to set up relaxation schemes that work uniformly in the above limits. A higher order nonoscillatory upwind spatial discretization and TVD implicit-explicit method for time integration are considered. Numerical computations are carried out on various test problems.

Original language	English
Pages (from-to)	41-52
Number of pages	12
Journal	Journal of Computational and Applied Mathematics
Volume	168
Issue number	1-2
DOIs	https://doi.org/10.1016/j.cam.2003.05.013
Publication status	Published - 1 Jul 2004

Keywords

Asymptotic analysis
Fluid dynamic equations
Higher order upwind schemes
Implicit-explicit methods
Relaxation methods

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2003.05.013

Cite this

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title = "Compressible and incompressible limits for hyperbolic systems with relaxation",

abstract = "A general relaxation system which yields compressible and incompressible Euler and Navier-Stokes equations in the limit is presented. Such a system can be used to set up relaxation schemes that work uniformly in the above limits. A higher order nonoscillatory upwind spatial discretization and TVD implicit-explicit method for time integration are considered. Numerical computations are carried out on various test problems.",

keywords = "Asymptotic analysis, Fluid dynamic equations, Higher order upwind schemes, Implicit-explicit methods, Relaxation methods",

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T1 - Compressible and incompressible limits for hyperbolic systems with relaxation

AU - Banda, M. K.

AU - Seaïd, M.

AU - Klar, A.

AU - Pareschi, L.

PY - 2004/7/1

Y1 - 2004/7/1

N2 - A general relaxation system which yields compressible and incompressible Euler and Navier-Stokes equations in the limit is presented. Such a system can be used to set up relaxation schemes that work uniformly in the above limits. A higher order nonoscillatory upwind spatial discretization and TVD implicit-explicit method for time integration are considered. Numerical computations are carried out on various test problems.

AB - A general relaxation system which yields compressible and incompressible Euler and Navier-Stokes equations in the limit is presented. Such a system can be used to set up relaxation schemes that work uniformly in the above limits. A higher order nonoscillatory upwind spatial discretization and TVD implicit-explicit method for time integration are considered. Numerical computations are carried out on various test problems.

KW - Asymptotic analysis

KW - Fluid dynamic equations

KW - Higher order upwind schemes

KW - Implicit-explicit methods

KW - Relaxation methods

UR - https://www.scopus.com/pages/publications/2942547259

U2 - 10.1016/j.cam.2003.05.013

DO - 10.1016/j.cam.2003.05.013

M3 - Article

AN - SCOPUS:2942547259

SN - 0377-0427

VL - 168

SP - 41

EP - 52

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

Compressible and incompressible limits for hyperbolic systems with relaxation

Abstract

Keywords

ASJC Scopus subject areas

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