用于高速可压缩流体分析的带多维耗散格式的自适应Delaunay三角剖分

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.

Adaptive Delaunay Triangulation With Multidimensional Dissipation Scheme for High-Speed Compressible Flow Analysis

Adaptive Delaunay triangulation is combined with the cell-centered upwinding algorithm to analyze inviscid high-speed compressible flow problems.The multidimensional dissipation scheme was developed and included in the upwinding algorithm for unstructured triangular meshes to improve the computed shock wave resolution.The solution accuracy was further improved by coupling an error estimation procedure to a remeshing algorithm that generates small elements in regions with large change of solution gradients,and at the same time,larger elements in other regions.The proposed scheme is further extended to achieve higher-order spatial and temporal solution accurarcy.Efficiency of the combined procedure was evaluated by analyzing supersonic shocks and shock propagation behaviors for both the steady and unsteady high-speed compressible flows.