A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure
A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure
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DOI：
10.1016/j.jcp.2016.04.048
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发表时间：
2016-05
期刊：
影响因子：
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通讯作者：
D. Derigs;A. R. Winters;G. Gassner;S. Walch
中科院分区：
文献类型：
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作者：
D. Derigs;A. R. Winters;G. Gassner;S. Walch
我们描述了一个高阶数值磁流体动力学（MHD）求解器建立在一个新的非线性熵稳定的数值通量函数，支持八个行波解。通过构造，求解器保持了质量、动量和能量，并且是熵稳定的。该方法的目的是治疗的发散自由约束的磁场以类似的方式双曲线发散清洗技术。这里描述的求解器特别适合于涉及强不连续性的流动。此外，我们提出了一个新的配方，以保证积极的压力。我们提出了新的求解器到多物理场，多尺度自适应网格细化（AMR）仿真代码FLASH（http：//www.example.com）的基本理论和实现。flash.uchicago.edu的准确性，鲁棒性和计算效率证明了一些测试，包括比较可用的MHD实现inFLASH。
We describe a high-order numerical magnetohydrodynamics (MHD) solver built upon a novel non-linear entropy stable numerical flux function that supports eight travelling wave solutions. By construction the solver conserves mass, momentum, and energy and is entropy stable. The method is designed to treat the divergence-free constraint on the magnetic field in a similar fashion to a hyperbolic divergence cleaning technique. The solver described herein is especially well-suited for flows involving strong discontinuities. Furthermore, we present a new formulation to guarantee positivity of the pressure. We present the underlying theory and implementation of the new solver into the multi-physics, multi-scale adaptive mesh refinement (AMR) simulation codeFLASH(http://flash.uchicago.edu). The accuracy, robustness and computational efficiency is demonstrated with a number of tests, including comparisons to available MHD implementations inFLASH.