计算物理 ›› 2018, Vol. 35 ›› Issue (5): 545-553.DOI: 10.19596/j.cnki.1001-246x.7734

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低耗散非结构网格多维限制器

艾邦成, 张亮, 陈智   

  1. 中国航天空气动力技术研究院, 北京 100074
  • 收稿日期:2017-08-06 修回日期:2017-09-08 出版日期:2018-09-25 发布日期:2018-09-25
  • 通讯作者: 张亮(1982-),博士,主要从事高超声速数值模拟技术研究,E-mail:zinsser_1982@163.com
  • 作者简介:艾邦成(1972-),博士,主要从事高超声速气动热和热防护研究,E-mail:aimen011@163.com

Low Dissipation Multidimensional Limiter for Unstructured Mesh

AI Bangcheng, ZHANG Liang, CHEN Zhi   

  1. China Academy of Aerospace Aerodynamics, Beijing 100074, China
  • Received:2017-08-06 Revised:2017-09-08 Online:2018-09-25 Published:2018-09-25

摘要: 基于极值原理分析非结构网格多维限制器的构造准则,通过引入约束位置和约束模板的定义,将非结构网格多维限制器构造方法统一化,并以此为基础提出一种新型非结构网格多维限制器.通过典型算例计算与已有限制器进行比较.结果表明:对于包含激波、接触间断等复杂波系干扰流动,新型多维限制器在保证数值稳定的条件下具有更低的数值耗散,对于复杂波系结构具有更高的流动分辨率.

关键词: 非结构网格, 多维, 限制器, 极值原理, 低耗散

Abstract: Based on maximum principle analysis together with definitions of restriction position and restriction stencil, a unification of multidimensional limiter construction process for unstructured mesh was presented. To enhance flow resolution, a new type of multidimensional limiter was developed. It was compared with several conventional limiters. It shows that due to less restriction in gradient reconstruction process, the new limiter is less dissipative and has better resolution for complex flow with shock and contact discontinuity interaction.

Key words: unstructured mesh, multidimensional, limiter, maximum principle, low dissipation

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