MULTI-DIMENSIONAICATIONS OFL APPL GREEN’S FUNCTION IN FLUID MECHANICS

Throughout this thesis we have been described a Green’s function for the 2-D Helmholtz equation in finite and infinite domains. For the finite domain under consideration, the rectangle in Cartesian coordinates, Green’s function and spectral added method aWe have centered ourselves throughout chapter 3 with the solution of Navier-stokes (N-S) equations. Our discussion consists of two main parts, the first one is the solution of two dimensional N-S equations in vorticity-stream function formulation ( - ) byIn the last chapter, we use a more convenient technique to generate a faster convergent Green’s function needed for solving three-dimensional Laplace’s equation in two cases: the first domain is bounded by two parallel planes; and the second is an infinit