The Boundary Element Method for solving the Navier Stokes equations

The Boundary Element Method (BEM) method for solving two dimensional incompressible Navier-Stokes equations is presented. The weak integral formulation of BEM methodology which involves the velocity-vorticity scheme is presented in details. The treatment of terms involving non-linearities and time derivatives is explained and the numerical implementation is addressed. Some representative fluid flow examples are solved and the numerical results are discussed.