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| Paper: |
Dual Time Stepping Method For three-dimensional MHD With Splitting Based Scheme |
| Volume: |
488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013) |
| Page: |
223 |
| Authors: |
Feng, X.; Fu, H. |
| Abstract: |
A new numerical scheme of combining an E-CUSP (energy-convective upwind and split pressure) method for the fluid part and the constrained transport (CT) for the magnetic induction part is proposed by following Shen et al. (2012). Ziegler CT (Ziegler 2004) is used for the magnetic induction part. Meanwhile, in order to avoid the occurrence of negative pressure in both reconstructed and updated profiles, a mixed method of positivity preserving method is used. Furthermore, the MHD equations are solved at each physical time step by advancing in pseudo time. As an independently developed three-dimensional MHD code, the present scheme combined with positivity preserving method and dual time technique has demonstrated the accurateness and robustness through numerical experiments of benchmark problems such as the 2D Orszag-Tang vortex problem and the 3D blast wave problem. |
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