论文标题
中央算法，用于准确预测简单几何的密集气中的非经典非线性波
Central algorithms for accurately predicting non classical non-linear waves in Dense Gases over simple geometries
论文作者
论文摘要
在临界点值的压力和温度下，非古典非线性波在密集的气体中存在着密集的气体。这些波的行为与经典的非线性波完全相反，倒经典波浪（如膨胀冲击）不违反熵条件。除了理想或完美的EOS以外的状态（EOS）方程式更复杂，通常用于描述致密气体。从数值的角度来看，具有非理想/真实气体EO的算法开发以及对密集气体的应用变得重要性。将设计用于完美气体EOS的算法扩展到具有任意真实气体EOS的密集气流的算法是非平凡的。当应用于实际气体EOS时，大多数专为店面气体EOS设计的算法都会显着修改。这些算法可能会变得复杂，并且根据所考虑的EOS不可能。本工作的目的是开发具有独立于特征结构的智能扩散能力并将其扩展到任何任意EOS的中心求解器。具有范德华EOS的Euler方程以及两种新开发的算法，最佳粘度的方法可增强冲击分辨率（Moms+）和基于Riemann不变性的触点捕获算法（RICCA），用于模拟简单几何图上的严重气味。使用这些算法验证了各种一维（1D）和二维（2D）基准测试案例，并将结果与从文献中获得的结果进行比较。
Non-classical non-linear waves exist in dense gases for large specific heats at pressures and temperatures of the order of critical point values. These waves behave precisely opposite to the classical non-linear waves, with inverted classical waves like the expansion shocks which do not violate entropy conditions. More complex equation of state (EOS) other than the ideal or perfect EOS is typically used in describing dense gases. Algorithm development with non-ideal/real gas EOS and application to dense gasses is gaining importance from a numerical perspective. Extending the algorithms designed for perfect gas EOS to dense gas flows with arbitrary real gas EOS is non-trivial. Most of the algorithms designed for prefect gas EOS are modified significantly when applied to real gas EOS. These algorithms can become complicated and some times impossible based on the EOS under consideration. The objective of the present work is to develop central solvers with smart diffusion capabilities independent of the eigenstructure and extendable to any arbitrary EOS. Euler equations with van der Waals EOS along with two newly developed algorithms, Method of Optimal Viscosity for Enhanced resolution of shocks (MOVERS+) and Riemann Invariants based Contact capturing Algorithm (RICCA), are used to simulate dense gasses over simple geometries. Various One Dimensional (1D) and Two Dimensional (2D) benchmark test cases are validated using these algorithms, and the results are compared with the those obtained from the literature.
