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 (BackwardFacingStep)及翼型绕流 (FlowOveranAirfoil)
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. [
出处
《计算物理》
CSCD
北大核心
2002年第6期476-482,共7页
Chinese Journal of Computational Physics
基金
国家自然科学基金 (1990 2 0 0 9)资助项目
