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利用自适应Delaunay三角剖分并结合胞格中心迎风算法,分析非粘滞高速可压缩流体问题.推导了多维耗散格式,并采用非结构化三角网格的迎风算法,改善了激波的计算结果.解精度评价中引入误差估计,在网格重划分算法中,解梯度变化大的区域生成小单元格,解梯度变化小的区域使用大单元格.该格式能进一步推广到高阶时空的解精度分析中.通过稳态和不稳态的高速可压缩流体超音速激波和激波传播特性的分析,可以评估该算法的效率.
The problem of non-viscous high-speed compressible fluid is analyzed by adaptive Delaunay triangulation combined with the center-of-cell windward algorithm.The multi-dimensional dissipative format is derived and the upwind algorithm of unstructured triangular mesh is used to improve the shock calculation Results The error estimation was introduced in the solution accuracy evaluation, in the algorithm of mesh re-partitioning, small cells with large gradient changes were generated and large-scale cells were used in the regions with small gradient changes.This scheme could be further extended to higher-order spacetime In the accuracy analysis, the efficiency of this algorithm can be evaluated by analyzing the properties of the supersonic and shock waves of steady-state and unsteady high-speed compressible fluids.