基于矩阵误差的流动自适应求解

为了构造一个网格沿流场特征方向进行分布,以保证整个流场的误差尽量均匀化的网格系统,本文对可压缩流动的自适应求解进行了研究.研究内容包括基于误差矩阵的流场特征探测方法和网格自适应方法.网格自适应方法包含网格移动、网格加密、网格稀疏以及这3种方法的混合.基于误差矩阵的流场探测方法能找到流场特征的主方向, 通过网格自适应使得网格按主方向进行分布,可以减少该区域的误差而得到高精度的解.以边为单位能使得该流场的误差尽可能均匀化.本文以捕捉激波为例,对该方法的过程及应用进行了描述,结果验证了该方法的可靠性.

ADAPTIVE FLOW SOLUTION BASED ON MATRIX ERROR

An adaptive method for the solution of compressible flows is described.The idea results from the desire for an efficient grid system,and an accurate and robust solution method are used to resolve flow features of the interest.The adaptation flow solution is proposed,including the detection of flow features based on the matrix error; the mesh adaptation using the mesh movement,the mesh refinement,the mesh coarsening,and their combination.The feature detection based on the matrix error can maintain the high resolution property for shock waves of the one-dimensional approximate Riemann solver and the higher order reconstruction scheme.The high grid efficiency is obtained with the anisotropically directional grid corresponding to feature directions,and the error of the flow-field is averaged.The procedure and its application to flow solutions of shock waves are described.Results validate that the method is reliable.