A Roe scheme for ideal MHD equation on 2D adaptively refined triangular grids (Q1287986)
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scientific article; zbMATH DE number 1292019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Roe scheme for ideal MHD equation on 2D adaptively refined triangular grids |
scientific article; zbMATH DE number 1292019 |
Statements
A Roe scheme for ideal MHD equation on 2D adaptively refined triangular grids (English)
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16 August 1999
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We present a second-order finite volume method for the solution of two-dimensional ideal MHD equations on adaptively refined triangular meshes. The numerical flux function is based on a multi-dimensional extension of the Roe scheme. If the mesh is composed only of triangles, our scheme is proved to be weakly consistent with the condition \(\nabla\cdot{\mathbf B}=0\). This property fails on a Cartesian grid. The efficiency of our refinement procedure is shown on two-dimensional MHD shock capturing simulations. \(\copyright\) Academic Press.
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nonparametrized entropy correction
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unstructured grid
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second-order finite volume method
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adaptively refined triangular meshes
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numerical flux function
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shock capturing simulations
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0.86913115
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0.86010337
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0.8595986
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0.8558439
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0.85345405
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0.85303736
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