论文标题
具有任意状态方程的可压缩欧拉方程的强大二阶近似
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
论文作者
论文摘要
本文涉及补充有任意状态或表格方程的可压缩欧拉方程的近似值。提出的近似技术是稳健的，在空间上正式准确，不变域的保存，并适用于状态的每个方程，列表或分析，只要压力是不负的即可。提出了跨冲击的熵替代功能。用新颖的分析解决方案验证了数值方法，然后用文献中看到的几个计算基准验证。
This paper is concerned with the approximation of the compressible Euler equations supplemented with an arbitrary or tabulated equation of state. The proposed approximation technique is robust, formally second-order accurate in space, invariant-domain preserving, and works for every equation of state, tabulated or analytic, provided the pressure is nonnegative. An entropy surrogate functional that grows across shocks is proposed. The numerical method is verified with novel analytical solutions and then validated with several computational benchmarks seen in the literature.
