中文摘要：

本文采用并行任意阶精度隐式格式的间断有限元方法,求解来流马赫数为0.01的低速可压缩无黏流动,为增强间断有限元对网格的适应性,采用参数化的方法同时对曲线边界上的积分点位置及外法向向量进行修正,计算结果表明在不做预处理的情况下,隐式间断有限元方法也能较好的计算低速流动,本文所做的参数化边界修正方法有助于间断有限元方法使用通用非结构网格进行高精度的计算。

英文摘要：

A parallel, implicit and arbitrary order discontinuous galerkin code is presented to calculate low speed compressible invisid flow with the inlet mach number equals 0.01. In order to get more robustness to gird, a parametric boundary modification to both the location and the outside normal of quadrature points on curve boundary is developed. Our simulations domenstrate that the implicit discontinuous galerkin method can solve low speed flow accurately and fast without any precondition, and the parametric modification can help the high order discontinuous galerkin method to using general unstructed grid.