The Primary Research For Flow Simulation On Unstructured Grids

The development of finite volume methods on unstructured grids is pres-ented in the paper. Centric differential scheme, upwind scheme depended on recovery of conservative variables and ENO/WENO schemes are discussed. Derivation of the two-dimensional, inviscid, isentropic in Cartesian coordinate system of Euler equations is given in detail, then divided into two different ty-pes—Conservative Euler equations (CE)and non-Conservative Euler equati-ons(NCE). The process of transformation from CE into NCE is showed. The Jacobian coefficient matrix and its diagonalization, the corresponding eigen-values and eigenvector matrix is listedPresentation focused on two unstructured grid generation method—Dela-unay triangulation and advancing front method, and Delaunay triangulation pro-cess is described used most commonly Bowyer-Waston mesh generation algorit-hm. Description of the Delaunay triangulation process and grid generation of cascade of two-dimensional are particular listed.The implementation of finite volume method on unstructured grid is dem-onstrated; The discrimination of two types of unstructured grid finite volume method is expatiated, in accordance with the cell-centered scheme and median-dual cell-vertex scheme, compared from the accuracy, computational work and memory requirement.Two finite volume schemes is demonstrated, that are central differential scheme and reconstruction upwind scheme. The conservation calculation, gra-dient calculation, limiter construction, flux calculations, the time discretization aspects of reconstruction of upwind finite volume method are discussed. Then virtual node (cell) is illustrated and treatment of boundary conditions possible encountered is presented. Finally, the program is compiled, the test result is obt-ained though changing the inlet angle and inlet boundary conditions. To a cert-ain extent, the reliability and validity of the program and its test results are vali-dated.