二维非结构网格Euler方程的LU-SGS算法

研究了将二维非结构三角形网格重新排序后，用LU-SGS隐式算法计算Euler方程的方法。分析了网格不平衡情况下该方法的可行性和应用效果。计算了不同翼型在不同流动条件下的二维Euler方程，并与四步Runge-Kutta显式方法进行了比较，结果验证了此方法具有良好的计算和收敛效果，以及在粘性计算方面的潜力。运用此方法对某预研型号的头部外形进行了设计和选择。该方法克服了以往隐式方法大量耗费内存的弱点，达到了计算耗时短和占用内存少的统一。

LU-SGS Scheme for Euler Computations on Two-Dimension Unstructured Grids

The method for two-dimension Euler equation computation, which used implicit LU-SGS approximate factorization scheme after two-dimension unstructured triangle grids reordered, was discussed in this paper. The possibility and application efficiency for the new method under the imbalance status were analyzed. Several samples with different flow condition were calculated and the results were compared with ones from four-step explicit Runge-Kutta scheme. It was showed that the efficiency, convergence and potential using in viscous calculation of the new method were good. And the method was applied to the design of the head figure for some missile. The new method has the advantages of much less memory needed and fast computation.