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BGK方法在非结构网格上的应用
引用本文:孙喜明,杨京龙,姚朝晖.BGK方法在非结构网格上的应用[J].计算物理,2002,19(6):476-482.
作者姓名:孙喜明  杨京龙  姚朝晖
作者单位:清华大学工程力学系, 北京 100084
基金项目:国家自然科学基金(19902009)资助项目
摘    要:采用旋转局部坐标的方法,发展了一种针对非结构网格的BGK计算方法.该方法属于有限体积法,大致分为两个步骤:①空间离散:②通量计算及时间推进.在第①步中,采用基于最小二乘法的高阶ENO格式来获得宏观物理量的高阶导数;在第②步中,采用旋转坐标轴的方法来计算非结构网格单元各边的通量.并得出了后台阶绕流(Backward Facing Step)及翼型绕流(Flow Over an Airfoil)两个算例的计算结果.

关 键 词:BGK方法  非结构网格  ENO格式  旋转局部坐标  
文章编号:1001-246X(2002)06-0476-07
收稿时间:2001-08-15
修稿时间:2001年8月15日

APPLICATION OF BGK SCHEME ON UNSTRUCTURED MESHES
SUN Xi-ming,YANG Jing-long,YAO Zhao-hui.APPLICATION OF BGK SCHEME ON UNSTRUCTURED MESHES[J].Chinese Journal of Computational Physics,2002,19(6):476-482.
Authors:SUN Xi-ming  YANG Jing-long  YAO Zhao-hui
Institution:Dynamic Engineering Department, Tsinghua University, Beijing 100084, China
Abstract:A BGK model on the 2D adaptive unstructured mesh is developed within a finite volume framework, which consists of two steps:the solution reconstruction step and the gas evolution step. The computation domain is tessellated with triangular elements. In the reconstruction step, a high-order ENO scheme based on the least-square principle is employed to obtain the derivatives. In the gas evolution step, with the axis rotation, the flux through each side of the triangular element is obtained. Some test cases validate the capability of the current numerical approach to provide a highly accurate solution in complex geometries. It is observed that the BGK model provides a reasonable alternative to Riemann solvers.
Keywords:BGK model  unstructured mesh  ENO scheme  axis rotation method  
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