非结构网格梯度限制器的研究与应用
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- 英文论文题名：Investigation and Application of the Slope Limiters on Unstructured Grids
- 论文作者：张帆 ; 陈泽栋 ; 刘君
- 英文论文作者：Zhang Fan ; Chen Zedong ; Liu Jun ; Faculty of Vehicle Engineering and Mechanics ; Dalian University of Technology ; State Key Laboratory of Structural Analysis for Industrial Equipment ; Dalian University of Technology
- 年：2016
- 作者机构：大连理工大学运载工程与力学学部;大连理工大学工业装备结构分析国家重点实验室;
- 论文关键词：非结构网格 ; 限制器 ; 单调性 ; 高超声速 ; 收敛性
- 英文论文关键词：unstructured grid ; limiter ; monotonic condition ; hypersonic ; convergence
- 会议召开时间：2016-11-25
- 会议录名称：2016年航空科学与技术全国博士生学术论坛摘要集
- 语种：中文
- 分类号：V211
- 学会代码：XBHH
- 会议名称：2016年航空科学与技术全国博士生学术论坛
- 会议地点：中国陕西西安
- 主办单位：西北工业大学研究生院、中国高校航空学院院长联席会
- 学会名称：西北工业大学航空学院
- 页数：2
- 文件大小：571k
- 原文格式：D
- 会议级别：全国
摘要
采用Barth、Venkatakrishnan与MLP三种非结构网格梯度限制器计算含激波的定常与非定常流场,分析对比其计算精度、稳定性与收敛性。对限制器考虑了两种不同的单调性条件检验方式;对各个计算问题考虑了四边形网格与三角形网格离散。结果表明,不同的单调性检验方式对Barth和Venkatakrishnan限制器的耗散影响显著,对其定常计算收敛性有一定影响;MLP限制器在亚、跨、超声速计算中综合性能较好,但是在高超声速流动计算中收敛性较差,并且在网格质量良好的情况下仍然可能出现流场结果的波动现象。对于飞行器外流的计算,采用MLP限制器能够加快定常计算的收敛过程。
Three unstructured slope limiters, Barth, Venkatakrishnan and MLP, are used for the computations of steady and unsteady flow fields that contain shock waves. Accuracy, stability and convergence are compared. For the limiters, two different checking methods for monotonic condition are applied. Quadrilateral, regular and irregular triangular grids are used for discretizations. Numerical results show that the checking methods for monotonic condition are significantly affecting the numerical dissipation of Barth and Venkatakrishnan limiters and the convergence of steady state computations that use Barth and Venkatakrishnan limiters. MLP limiter is showing better performance in the simulations of subsonic, transonic and supersonic flows. However, in the hypersonic flow simulations, MLP limiter could be showing inferiority incomputation convergence and oscillation of flow field even on high quality grid. Comparatively, MLP limiter can improve the convergence rate in steady external flow computations.
Three unstructured slope limiters, Barth, Venkatakrishnan and MLP, are used for the computations of steady and unsteady flow fields that contain shock waves. Accuracy, stability and convergence are compared. For the limiters, two different checking methods for monotonic condition are applied. Quadrilateral, regular and irregular triangular grids are used for discretizations. Numerical results show that the checking methods for monotonic condition are significantly affecting the numerical dissipation of Barth and Venkatakrishnan limiters and the convergence of steady state computations that use Barth and Venkatakrishnan limiters. MLP limiter is showing better performance in the simulations of subsonic, transonic and supersonic flows. However, in the hypersonic flow simulations, MLP limiter could be showing inferiority incomputation convergence and oscillation of flow field even on high quality grid. Comparatively, MLP limiter can improve the convergence rate in steady external flow computations.
引文
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