论文标题
MHD的有限体积求解器的多维测试，具有现实气体方程式
Multidimensional tests of a finite-volume solver for MHD with a real-gas equation of state
论文作者
论文摘要
这项工作考虑了带有实际气体方程（EOS）的MHD方程的有限体积求解器的两种算法。两种算法都使用用于MHD不连续性的Harten-Lax-van Leer近似Riemann求解器的多态形式。对该求解器进行了修改，以利用实际气体EOS的广义声速。测试了两种方法：在细胞中心和通量界面上的EOS评估，而前者更有效地计算。采用了一项1D和2D测试的电池：1D和2D线性化波的收敛性，冲击管Riemann问题，2D非线性圆形偏振alfVén波和2D Magneto-Rayleigh-Taylor-Taylor taylor稳定性测试。以细胞为中心的EOS评估算法在中间状态下产生不可阻码的热力学不一致，导致虚假溶液，而磁通式EOS EOS评估算法则可鲁棒地产生正确的溶液。线性性波测试表明，这种不一致与磁波有关，磁性雷利 - 泰勒不稳定性测试证明了模拟结果，其中伪溶液导致非物理模拟。
This work considers two algorithms of a finite-volume solver for the MHD equations with a real-gas equation of state (EOS). Both algorithms use a multistate form of Harten-Lax-Van Leer approximate Riemann solver as formulated for MHD discontinuities. This solver is modified to use the generalized sound speed from the real-gas EOS. Two methods are tested: EOS evaluation at cell centers and at flux interfaces where the former is more computationally efficient. A battery of 1D and 2D tests are employed: convergence of 1D and 2D linearized waves, shock tube Riemann problems, a 2D nonlinear circularly polarized Alfvén wave, and a 2D magneto-Rayleigh-Taylor instability test. The cell-centered EOS evaluation algorithm produces unresolvable thermodynamic inconsistencies in the intermediate states leading to spurious solutions while the flux-interface EOS evaluation algorithm robustly produces the correct solution. The linearized wave tests show this inconsistency is associated with the magnetosonic waves and the magneto-Rayleigh-Taylor instability test demonstrates simulation results where the spurious solution leads to an unphysical simulation.
