A second-order unsplit Godunov scheme for cell-centered MHD: The CTU-GLM scheme
A second-order unsplit Godunov scheme for cell-centered MHD: The CTU-GLM scheme
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DOI：
10.1016/j.jcp.2009.11.026
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发表时间：
2009-11
期刊：
影响因子：
--
通讯作者：
A. Mignone;P. Tzeferacos
中科院分区：
文献类型：
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作者：
A. Mignone;P. Tzeferacos
我们评估的有效性的单步Goddom计划的解决方案的磁流体动力学方程在一个以上的维度。该方案是二阶精度和时间离散的基础上的维不分裂角传输逆风（CTU）的方法Colella。所提出的方案采用了细胞为中心的主要流体变量（包括磁场）的表示和保存质量，动量，磁感应强度和能量。该计划的一个变种，打破了动量和能量守恒，也被认为是。Dedner等人（2002）[11]使用混合双曲/抛物线发散清除技术将发散误差转移到域外并进行阻尼。该计划的强度和准确性进行了验证的直接比较与八波制定（也采用细胞为中心的表示）和流行的约束运输方法，其中磁场分量保持交错配置内的计算单元。从二维和三维的测试问题得到的结果表明，新提出的计划是强大的，准确的和有竞争力的约束运输方法的最新实现，而在现有的水电代码是相当容易实现。
We assess the validity of a single step Godunov scheme for the solution of the magnetohydrodynamics equations in more than one dimension. The scheme is second-order accurate and the temporal discretization is based on the dimensionally unsplit Corner Transport Upwind (CTU) method of Colella. The proposed scheme employs a cell-centered representation of the primary fluid variables (including magnetic field) and conserves mass, momentum, magnetic induction and energy. A variant of the scheme, which breaks momentum and energy conservation, is also considered. Divergence errors are transported out of the domain and damped using the mixed hyperbolic/parabolic divergence cleaning technique by Dedner et al. (2002) [11]. The strength and accuracy of the scheme are verified by a direct comparison with the eight-wave formulation (also employing a cell-centered representation) and with the popular constrained transport method, where magnetic field components retain a staggered collocation inside the computational cell. Results obtained from two- and three-dimensional test problems indicate that the newly proposed scheme is robust, accurate and competitive with recent implementations of the constrained transport method while being considerably easier to implement in existing hydro codes.