A time marching boundary element/finite element method for solving incompressible navier-stokes equations

摘要

A time marching boundary element/finite element method is developed for the solution of two-dimensional incompressible thermally coupled flows. By applying the operator splitting technique and time difference discretization, semi-discretized semi-implicit differential equations are obtained. Green's function method is then used to derive time marching integral equations and time marching boundary integral equations. The relation between the time marching boundary integral equation and an explicit time integration scheme is brought to light. The boundary element and finite element approaches are employed to solve the resulting tim e marching boundary integral equations. Numerical calculations have been carried out for the free convection flow in a unit aquare cavity for testing the accuracy and efficiency of the present method.