Delaunay四面体网格并行生成算法研究进展

Advances of Research on Parallel Delaunay Tetrahedral Mesh Generation

纵观近20年国内外Delaunay四面体网格并行生成算法的发展,依据其并行框架分为区域分解模式和基于节点模式,其中区域分解模式根据通信复杂程度进一步分为耦合的和非耦合的;对典型算法中网格质量传承性、串行代码嵌入率、扩展性、负载平衡和容错性等性能进行分析,结合数值测试结果总结了各类模式算法的优缺点.最后,针对各类模式算法的特点探讨了Delaunay四面体网格并行生成技术的发展趋势.

In order to accelerate the process of mesh generation,and take full advance of various parallel environments,the parallel Delaunay tetrahedral mesh generation has become one of the active research topics in the fields of mesh generation and parallel algorithms.The paper presents the advances of research on parallel Delaunay tetrahedral mesh generation within the last twenty years.To grasp the main ideas of various parallel algorithms,according to their parallel schemes,these algorithms are classified into domain decomposition mode and node-based mode.And the algorithms of domain decomposition mode are further distinguished as the decoupled sort and the coupled sort by the complexity of communications.Then,the features of presented modes are pointed out through surveying some representative parallel Delaunay tetrahedral mesh generation algorithms with respect to the inheritance of mesh quality,ratio of reusing off-the-shelf sequential codes,scalability,load balance and fault tolerance combined with some numerical test results.Finally,some developing trends of parallel Delaunay tetrahedral mesh generation are discussed.