Uniformly accurate schemes for relaxation approximations to fluid dynamic equations |
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| Institution: | FB Mathematik, TU Darmstadt 64289 Darmstadt, Germany;Department of Mathematics University of Ferrara 44100 Ferrara, Italy;FB Mathematik, TU Darmstadt 64289 Darmstadt, Germany |
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| 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. |
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