Compact grid-characteristic schemes of higher orders for 3D linear transport equation (Q2820367)

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scientific article; zbMATH DE number 6627691
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Compact grid-characteristic schemes of higher orders for 3D linear transport equation
scientific article; zbMATH DE number 6627691

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    15 September 2016
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    heat and mass transfer
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    heat flow
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    finite volume methods
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    method of characteristics
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    multigrid methods
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    domain decomposition
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    Compact grid-characteristic schemes of higher orders for 3D linear transport equation (English)
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    In numerical simulations of three-dimensional problems of mathematical physics, the volume finite elements are often used. Here, for a 3D linear transport equation simulation, volume finite elements in form of a parallelepiped are proposed. As a result, a more accurate numerical scheme is constructed, generalizing the application of compact net-characteristic schemes for 3D formulation of problems of mathematical physic. Some details of the proposed numerical scheme are discussed.
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