Unsteady threedimensional flow simulation using vorticityvelocity form of NavierStokes equations and ADI+MGDGS method
Abstract
An approach is designed for simulating threedimensional incompressible flow fields using the timedependent NavierStokes equations in terms of vorticityvelocity variables. An alternatingdirectionimplicit (ADI) method is developed and used to solve the vorticitytransport equation, and a distributive GaussSeidel (DGS) scheme, together with a multigrid technique for convergence acceleration, is used to effectively relax the system of equations for the velocity problem. It is shown that the overall numerical ADI method including the multigrid DSG algorithm is able to efficiently and robustly solve the NavierStokes equations formulated in the vorticityvelocity variables for unsteady threedimensional incompressible flows.
 Publication:

10th Computational Fluid Dynamics Conference
 Pub Date:
 1991
 Bibcode:
 1991cfd..conf..380H
 Keywords:

 Incompressible Flow;
 NavierStokes Equation;
 Three Dimensional Flow;
 Unsteady Flow;
 Vorticity;
 Computational Grids;
 Flow Velocity;
 Time Dependence;
 Fluid Mechanics and Heat Transfer