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An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes - MaRDI portal

An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes (Q2180724)

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An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes
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    An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes (English)
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    14 May 2020
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    The authors present a new extremum-preserving finite volume scheme for the convection-diffusion equation. Using the harmonic averaging point on interface to define the auxiliary unknown, the interpolation process for 3D problem is simplified. The discretization of convection flux is performed using a second-order accuracy formula. Some numerical tests are presented to support the theoretical results.
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    convection-diffusion equation
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    extremum-preserving principle
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    harmonic averaging point
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    general meshes
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