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2 Dimensional Advection

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Old   August 18, 2017, 07:06
Default 2 Dimensional Advection
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Navendu Shekhar
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Please suggest some resource describing finite difference/ finite volume schemes for 2 Dimension Advection equation (to be implemented in matlab).

Thanks.
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Old   August 18, 2017, 09:31
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Filippo Maria Denaro
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For the linear 2D equation with constant velocity you have an exact solution and there are many example in literature of test-cases.

For example, see Sec.4.13 and the suggested references
http://mathcenter.hust.edu.cn/Upload...98740d59f8.pdf
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Old   August 18, 2017, 09:44
Default 2D advection
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Selig
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Hi,

There is a fantastic book on hyperbolic PDEs and their numerical solutions by Toro. He talks about many methods to solve such problems in 1, 2, and 3 dimensions.
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