Numerical Study of Meshless Radial Basis Functions in the Lid Driven Cavity Problem

摘要

The lid driven cavity problem has been studied numerically. The present work is focused on reviewing the fluid flow patterns for the lid driven cavity problem. The left, right and bottom walls are maintained at no slip boundary condition and the top wall is moved in the right direction with uniform velocity (u= 1.0). The governing equations are processed by the mass and momentum equations and solved by using the radial basis function (RBF) method. The governing equations are expressed using a primitive variable formulation. The method was based on implicit Euler scheme for temporal discretization and RBF method for spatial discretization. The effects of the Reynolds number on the fluid flow in the square cavity are investigated. Stream functions and pressure contours are presented for various Reynolds numbers, such as 102, 4x102 and 103. Comparing the numerical results obtained using the present method with other numerical methods from the literatures shows very good agreement.