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| Corrected Nonconservative Schemes |
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Citation： |
Olivier PIRONNEAU.Corrected Nonconservative Schemes[J].Chinese Annals of Mathematics B,2006,27(5):539~548 |
| Page view： 1096
Net amount： 780 |
Authors： |
Olivier PIRONNEAU; |
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| Abstract： |
Derivatives of discontinuities being Dirac singularities, it is usually not possible
to multiply them by discontinuous functions. However in the context of conservation laws
we have shown in a recent paper that it can be done. We shall make use of this new
framework to revisit some upwind methods, mostly characteristic schemes, and show that
they can be corrected to be conservative and to work on difficult problems such as Euler’s
equations for fluids. Numerous numerical results are given. |
Keywords： |
Upwinding, Non-conservative, Finite volume method, Compressible Euler |
Classification： |
35A25, 65N99 |
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