MHD-A: A Fluctuation Splitting Wave Model for Planar Magnetohydrodynamics
✍ Scribed by Necdet Aslan
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 348 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
This paper describes a two-dimensional (2D) upwind residual distribution or fluctuation splitting (FS) scheme (MHD-A) for the numerical solutions of planar magnetohydrodynamics (MHD) equations on structured or unstructured triangular meshes. The scheme is second order in space and time, and utilizes a consistent 2D wave model originating from the eigensystem of a 2D jacobian matrix of the MHD flux vector. The possible waves existing in this wave model are entropy, magnetoacoustic, and (numerical) magnetic monopole waves; however, Alfven waves do not exist since the problem is planar.
One of the important features of the method is that the mesh structure has no influence on propagation directions of the waves. These directions are dependent only on flow properties and field gradients (for example, it is shown that the magnetoacoustic waves propagate in the directions of maximum and minimum magnetic strain rates). The other feature is that no flux evaluations and no information from the neighboring cells are needed to obtain a second order, positive, and linearity preserving scheme.
A variety of numerical tests carried out by the model on structured and unstructured triangular meshes show that MHD-A produces rather encouraging numerical results even though it is the first FS wave model ever developed for multidimensional MHD.