一种渐变网格方案及其与嵌套网格方案的比较

本文给出了一种渐变网格及其相应的数值积分方案，并利用线性平流方程，分别采用该渐变网格、不等距网格和3种嵌套网格共5种方案进行数值试验。结果表明，在套网格方案中，采用精度较高且截断误差相近的不同格式进行嵌套计算误差较小；而变网格(包括渐变网格和不等距网格)方案既能简化积分过程，又能避免反射波，从而明显地提高了计算精度。

A Gradually Variational Grid Scheme and in Comparison with Nested Grid Methods

in this paper a gradually variational grid scheme has been presented and a set of numericalexperiments on 5 schemes nested grid and variational grid are carried out with linear advectionequation. The results show that the prediction is more precise when the truncation errors of differencemethods are smaller and close to each other for the large grid and the small one in the nested gridschemes; while the variational grid scheme is adopted, the computational accuracy is much improved asthe nit6gration process is simplified and the reflected waves are avoided.