摘要
A new finite volume difference method for solving 2-D diffusion equation isconstructcd in this paper. The choice of computational nodes is studied on thegross distortion concave quadrilateral grid. We choose the midpoint of a diagonalline of the mesh cells as the calculation nodes because it can assure the cells con-tain the calculation nodes and reduce the total calculation. In order to keep theconservation, we use the conditions of flux conservation to compute the values ofthe central of the boundary. Lagrange multiplier method is used to get the valuesof grid points. With the consideration of the relative position of the grid points,the method is more suitable for nonorthogonal grids. We make experiments onconcave grids and "Z" grids. The numerical results show that the new arithmeticis feasible and effective, especially for highly distortional meshes.
A new finite volume difference method for solving 2-D diffusion equation isconstructcd in this paper. The choice of computational nodes is studied on thegross distortion concave quadrilateral grid. We choose the midpoint of a diagonalline of the mesh cells as the calculation nodes because it can assure the cells con-tain the calculation nodes and reduce the total calculation. In order to keep theconservation, we use the conditions of flux conservation to compute the values ofthe central of the boundary. Lagrange multiplier method is used to get the valuesof grid points. With the consideration of the relative position of the grid points,the method is more suitable for nonorthogonal grids. We make experiments onconcave grids and 'Z' grids. The numerical results show that the new arithmeticis feasible and effective, especially for highly distortional meshes.
出处
《数值计算与计算机应用》
CSCD
北大核心
2004年第2期138-144,共7页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(10176023)
国防科技重点实验室基金试点项目(0076.8.10110)
关键词
扩散方程
数值模拟
流体力学
数值热传导
2-D diffosion equation
finite volume difference method
flux conservation
nonorthogonal quadrilateral grid
