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| Paper: |
Higher Order Divergence-Free Methods for Three-Dimensional MHD
Flows on Overlapping Grid |
| Volume: |
444, 5th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2010) |
| Page: |
242 |
| Authors: |
Li, S. |
| Abstract: |
We present a higher-order, divergence-free, central finite-volume
method for three-dimensional magnetohydrodynamic (MHD) flows, which is
an extension of the method described in [S. Li, High order central
scheme on overlapping cells for MHD flows with and
without constrained transport method, J. Comput. Phys. 227 (2008)
7368]. This method simultaneously advances the solutions on both
original and dual overlapping grids, and can achieve any high order
accuracy, depending on the order of the reconstructed
polynomials. The dual overlapping grid also provides a natural way
to calculate the electric field without spatial averaging for the
constrained transport (CT) method, which preserves the divergence-free
condition of the magnetic fields. In this paper, we describe basic
components of our method implemented for 3D MHD flows. Several test
problems are presented to
demonstrate the accuracy and robustness of the algorithm. The
high-order, low-dissipation, and divergence-free
properties of this method make it an ideal tool for direct
MHD turbulence simulations. |
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