Collocated Grid Finite Volume Numerical Method In Calculating And Research

Numerical methods and the application in hydrodynamiccomputation has been made good progress with the rapidcomputer industry in recent years, The finite-volume solutionmethod using colocated grids, which is a new and advancednumerical method, has been applicated in the widely range ofspaceflight. energy and the others etc., but only have a few of theresemble study reference in hydrodynamic and river dynamiccomputation, that can be seen these years. Succeful applications offinite-volume solution method using colocated grids in hydro-dynamic computation in the present paper. Specific work is asfollows:Firstly, numerical grid generation technique and colocatedgrid technique are reviewed. The SIMPLE algorithm with Carte-sian coordinates and non-orthogonal rectilinear coordinates usingcolocated grids, which is used to handle the problem of pressure-velocity coupling,are described in detail.Secondly, the common governing equations of two-dimensi-onal incompressible fluid flow are set up, the finite differenceequations are obtained by control volume, Singal equation issoluted by ADI method, and the under-relaxation factor is used tohandle the different variables.Thirdly, the standered SIMPLE algorithm of Patankar forsolving tWo-dAnensional elliPtic kind equations in orthogonal coo-rdinates is developed, A gerneral comPuter program for solvingequations goveming the laxninar flows and tubulent flows usingcolocated grids in orthogonal coordinates is built. Three kinds oflaminar flow are emPloyed to determine the SIMPLE program:(l)laminar flow in parallel plate;(2)laminar flow over a backward facing steP flows,(3)laminar flow of natural convection in a square cavity;the results of computation demonstrate faVourable agreement withthe reference theory results.Finally, the tubulent flow in parallel plate is comPuted usingstandered k- E model with this program, the results indicate that theparameters distfibution of velocity, tubulent energy k, tubulentdissipation rate E and the waIl pressure is reasonable, and thepridictions is satisfaction.