High-order ADI method for stream-function vorticity equations

A high order ADI method for separable generalized Helmholtz equations

We present a multilevel high order ADI method for separable generalized Helmholtz equations. The discretization method we use is a onedimensional fourth order compact finite difference applied to each directional component of the Laplace operator, resulting in a discrete system efficiently solvable by ADI methods. We apply this high order difference scheme to all levels of grids, and then start...

A High Order ADI Method For Separable Genneralized Helmholty Equations

We present a multilevel high order ADI method for separable generalized Helmholtz equations. The discretization method we use is a 1-D fourth order compact nite di erence applied to each directional component of the Laplace operator, resulting a discrete system e ciently solvable by ADI methods. We apply this high order di erence scheme to all levels of grids, and then starting from the coarses...

A Stabilized Finite Element Method for Stream Function Vorticity Formulation of Navier-stokes Equations

We the solvability of the two-dimensional stream function-vorticity formulation of the Navier-Stokes equations. We use the time discretization and the method of characteristics order one for solving a quasi-Stokes system that we discretize by a piecewise continuous finite element method. A stabilization technique is used to overcome the loss of optimal error estimate. Finally a parallel numeric...

A rational high-order compact ADI method for unsteady convection-diffusion equations

Article history: Received 30 October 2009 Received in revised form 17 October 2010 Accepted 12 November 2010 Available online 19 November 2010

A high-order Padé ADI method for unsteady convection-diffusion equations