关于 CFD 高精度保真的数值模拟研究

本文由四部分组成。第一部分研究了利用高阶格式、网格、物理模型和高性能计算机求解 NS 方程时，计算数据的高精度保真性的要求以及高精度保真的指标。第二部分研究了利用大规模计算开展大涡模拟和直接数值模拟存在的问题。第三部分分析了在高雷诺数下 NS 方程计算方法和网格的关系。最后提出了建立计算数值验证、确认的新方法。

Investigations on fidelity of high order accurate numerical simulation for computational fluid dynamics

This paper consists of four parts.First,the requirement of fidelity and its assess-ment indicator for numerical results with high order accurate methods,meshes,physical models and high performance computer are investigated.Second,the problems in large eddy simulation and direct numerical simulation with high performance computer are discussed.Third,the rela-tion between numerical scheme and mesh is analyzed for solving Navier-Stokes equations with given high Reynolds number.Finally,a new method for verification and validation of CFD simu-lation is proposed.