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.

Compressible and incompressible limits for hyperbolic systems with relaxation

PARESCHI, Lorenzo
2004

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.
Banda, Mk; Seaid, M; Klar, A; Pareschi, Lorenzo
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11392/1207302
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