On the optimal CFL number of SSP methods for hyperbolic problems
In: Applied Numerical Mathematics, Jg. 135 (2019), S. 165-172
Online
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Zugriff:
We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. We analyze a fully discrete finite volume method with slope reconstruction and a second order SSP Runge–Kutta time integrator to show that the maximum stable time step can be increased over the SSP limit. Numerical examples indicate that this result extends to two-dimensional problems on triangular meshes.
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On the optimal CFL number of SSP methods for hyperbolic problems
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Autor/in / Beteiligte Person: | Giuliani, Andrew ; Krivodonova, Lilia |
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Zeitschrift: | Applied Numerical Mathematics, Jg. 135 (2019), S. 165-172 |
Veröffentlichung: | Elsevier BV, 2019 |
Medientyp: | unknown |
ISSN: | 0168-9274 (print) |
DOI: | 10.1016/j.apnum.2018.08.015 |
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