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首页> 外文期刊>Journal of Computational Physics >Improving shock irregularities based on the characteristics of the MHD equations
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Improving shock irregularities based on the characteristics of the MHD equations

机译：根据MHD方程的特征改善冲击不规则性

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We have developed a numerical simulation scheme for three-dimensional magnetohydrodynamical flow with shocks. The numerical scheme is based on the Roe-type scheme and includes additional numerical diffusion in the direction tangential to the shock front to care the carbuncle instability. The numerical viscosity is added only in the regions where the characteristics of either fast or slow wave converges, i.e., in the regions potentially dangerous to the carbuncle instability. Accordingly the numerical viscosity is as small as that of the Roe scheme except near the shock fronts. It is demonstrated from comparison with the HLLE scheme that the magnetic Reynolds number is higher in the simulations obtained with our scheme. We show application of the scheme to the magnetohydrodynamical simulations of type II supernova. It is also proved that the scheme is free from the odd-even decoupling. (C) 2008 Elsevier Inc. All rights reserved.
机译：我们已经开发了具有冲击的三维磁流体动力流动的数值模拟方案。数值方案基于Roe型方案，并包括在与冲击前沿相切的方向上的附加数值扩散，以照顾的不稳定性。仅在快波或慢波的特性收敛的区域，即在对to不稳定不稳定的潜在危险的区域中添加数值粘度。因此，除了在冲击前沿附近之外，数值粘度与Roe方案的数值粘度一样小。通过与HLLE方案的比较证明，在通过我们的方案获得的仿真中，磁雷诺数更高。我们展示了该方案在II型超新星的磁流体动力学模拟中的应用。还证明了该方案没有奇偶解耦。 （C）2008 Elsevier Inc.保留所有权利。

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