3点逐步r型自适应网格算法

为了根据某个流场参数梯度较合理地分布网格同时又不增加网格点的数量,提出一种基以总变差为基础的r型3点逐步自适应网格算法,通过3点逐步调整网格点的位置以减小网格线的扭曲,生成质量较好的计算网格.以绕二维圆柱和三维双椭球的超声速流动为算例,用Euler方程模拟,以流场的压力总变差来进行自适应,通过分别用所提出的自适应方法生成的自适应网格与用原始网格计算所得的流场结果对比,计算结果表明,用自适应网格计算所得的激波比用初始网格计算所得的激波薄,采用自适应方法所计算出的流场数值解具有更高的分辨率.

Three-point step-by-step generating r-type adaptive grid technique

In order to distribute grids correctly according to certain flow parameter grads but not to increase grid number,a step-by-step generating technique for r-type three points adaptive grid was proposed based on an averaged total variation concept.By this method,the grid location could be gradually adjusted,and the adaptive grid quality could be improved and grid thread distortion could be decreased.Two test cases were given to demonstrate the effectiveness of the developed procedure,namely,the supersonic flows over a two dimensions circular cylinder and a three dimensions double ellipsoid using an Euler solver.Grid location in the two test cases was adjusted by total variation of pressure.By comparing with the results computed using original grids,it is observed that shock wave captured by adaptive grids becomes thinner,so the results obtained by the present technique do provide higher resolution.