A POINT COLLOCATION SCHEME FOR THE STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Meshfree point collocation method for the stream-vorticity formulation of 2D incompressible Navier–Stokes equations

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. ...

A High Order Numerical Scheme for Incompressible Navier-Stokes Equations

To solve the incompressible Navier-Stokes equations in a generalized coordinate system, a high order solver is presented. An exact projection method/fractional-step scheme is used in this study. Convective terms of the Navier-Stokes (N-S) equations are solved using fifthorder WENO spatial operators, and for the diffusion terms, a sixthorder compact central difference scheme is employed. The thi...

An Upwind-Differencing Scheme for the Incompressible Navier-Stokes Equations

Preconditioners for the incompressible Navier Stokes equations

Computational Fluid Dynamics is frequently used nowadays to understand the flow in rivers, blood veins, around cars and planes, etc. This tool can also be used to make better cars and planes and to design dams and dikes to protect against flooding. In this talk we consider simulation with the incompressible Navier Stokes equations. After discretization by the Finite Element Method and lineariza...

The Stationary Navier-Stokes Equations

Having considered the linear Stokes equations, we will now bring back the nonlinear term and consider the nonlinear version of the Stokes system. The solution of these equations can be viewed as the limit to which the solution of the full N-S equations tends as t tends to infinity. Of course no one knows at this point if the solutions of the N-S equations do tend to some limit as t tends to inf...