Meshfree point collocation method is developed for the stream-vorticity formulation of two-dimensional incompressible Navier– Stokes equations. Particular emphasis is placed on the novel formulation of effective vorticity condition on no-slip boundaries. The moving least square approximation is employed to construct shape functions in conjunction with the framework of point collocation method. ...

Absorbing Boundary Condition for Nonlinear Euler Equations in primitive variables are presented based on the Perfectly Matched Layer (PML) technique. To facilitate the application of PML complex change of variables in the frequency domain, new auxiliary variables are introduced. The final form of the absorbing equations is presented in unsplit physical primitive variables. Both the two-dimensio...