论文标题
高阶精确熵稳定的自适应移动网格有限差异方案（多组分）可压缩的欧拉方程，具有状态僵硬的方程
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state
论文作者
论文摘要
本文将在[14]中开发的高阶熵稳定（ES）自适应移动网格有限差方案扩展到具有较僵硬的状态方程的二维和三维（多组分）可压缩的EULER方程。两点熵保守（EC）通量首先在曲线坐标中构造。高阶的半分化EC计划是借助于两点EC通量和几何保护定律的高阶离散化，然后给出了满足熵不平等的高阶半差异ES方案的高阶，通过添加了基于多个分辨率的繁殖量的高度耗散（通过添加高阶数字）来衍生的（Weno）（Weno）来衍生（WENO）。 EC计划。明确的强稳定性延伸性runge-kutta方法用于时间离散化，网格点通过迭代求解具有适当选择的监视器功能的网格再分配方程来自适应地重新分布。使用MPI编程进行了几次2D和3D数值测试，以验证拟议方案的局部结构的准确性和能力。
This paper extends the high-order entropy stable (ES) adaptive moving mesh finite difference schemes developed in [14] to the two- and three-dimensional (multi-component) compressible Euler equations with the stiffened equation of state. The two-point entropy conservative (EC) flux is first constructed in the curvilinear coordinates. The high-order semi-discrete EC schemes are given with the aid of the two-point EC flux and the high-order discretization of the geometric conservation laws, and then the high-order semi-discrete ES schemes satisfying the entropy inequality are derived by adding the high-order dissipation term based on the multi-resolution weighted essentially non-oscillatory (WENO) reconstruction for the scaled entropy variables to the EC schemes. The explicit strong-stability-preserving Runge-Kutta methods are used for the time discretization and the mesh points are adaptively redistributed by iteratively solving the mesh redistribution equations with an appropriately chosen monitor function. Several 2D and 3D numerical tests are conducted on the parallel computer system with the MPI programming to validate the accuracy and the ability to capture effectively the localized structures of the proposed schemes.
