A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher order nonoscillatory upwind discretizations and higher order implicit-explicit time discretization. Numerical results are presented for several test cases.
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations
PARESCHI, Lorenzo;
2003
Abstract
A relaxation system for the incompressible and compressible Euler and Navier-Stokes equations is considered. A numerical scheme working uniformly in the above limits is constructed using higher order nonoscillatory upwind discretizations and higher order implicit-explicit time discretization. Numerical results are presented for several test cases.File in questo prodotto:
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