| Corrected Nonconservative Schemes |
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| 引用本文： | Olivier PIRONNEAU. Corrected Nonconservative Schemes[J]. 数学年刊B辑(英文版), 2006, 27(5): 539-548. DOI: 10.1007/s11401-005-0216-7 |
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| 作者姓名： | Olivier PIRONNEAU |
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| 作者单位： | LJLL, University of Paris VI ＆ IUF, 4 Place Jussieu, 75252 Paris Cedex 05, France. |
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| 摘 要： | 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.
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| 关 键 词： | 逆风 非保守性 有限体积法 可压缩欧拉 |
| 收稿时间： | 2005-05-30 |
Corrected Nonconservative Schemes |
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| Olivier PIRONNEAU. Corrected Nonconservative Schemes[J]. Chinese Annals of Mathematics,Series B, 2006, 27(5): 539-548. DOI: 10.1007/s11401-005-0216-7 |
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| Authors: | Olivier PIRONNEAU |
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| Affiliation: | LJLL, University of Paris Ⅵ & IUF, 4 Place Jussieu, 75252 Paris Cedex 05, France |
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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. |
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| Keywords: | Upwinding Non-conservative Finite volume method Compressible Euler |
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