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.File in questo prodotto:
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