王保山,曾维新,高振,陈玉虎

• 1:中国海洋大学数学科学学院
• 2:青岛海洋科学与技术试点国家实验室

摘要(Abstract)：

在Compact-WENO杂交格式中,判定流场中解的光滑性、设计间断检测算法是最为关键的部分。对于高维问题,已有的间断检测算法,如多分辨率分析(MR)方法,通常采用维数分裂的方法进行间断的捕捉,往往将湍流中光滑的旋涡结构误判为间断,从而导致杂交格式无法准确地求解这些细小的旋涡结构。本文基于流场中的散度和旋度,改进了多分辨率分析的系数,使得旋涡处的系数接近于零,从而避免MR方法对旋涡结构的误判。几个典型的二维数值模拟表明,改进后的多分辨率分析方法能够准确地识别间断结构和光滑的旋涡结构,结合新方法的杂交格式比五阶WENO-Z格式的效率高2~3倍。

关键词(KeyWords)： 旋涡识别;多分辨率分析;WENO-Z格式;杂交格式

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(11871443);; 山东省自然科学基金项目(ZR2017MA016);; 中央高校基本科研业务费专项项目(201562012);; 国家重大科技专项(20101010)资助~~

作者(Author): 王保山,曾维新,高振,陈玉虎

DOI: 10.16441/j.cnki.hdxb.20180179

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