On an alternating direction implicit finite element method for flow problems
Abstract
An alternating direction implicit finite element method (ADIFEM) has been developed for flow problems in which the convective terms dominate. Application of the method to the thermal entry problem produces an unconditionally stable algorithm that is computationally more efficient than a corresponding ADI finite difference method. Application of the method to viscous compressible flow produces an algorithm that is only conditionally stable. The offaxis contributions to the convective terms are shown to limit the stability. Illustrative results are presented for the flow past a rectangular obstacle and over a step.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 June 1982
 DOI:
 10.1016/00457825(82)900822
 Bibcode:
 1982CMAME..30..307F
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Convective Flow;
 Finite Element Method;
 Flow Stability;
 Inlet Temperature;
 Two Dimensional Bodies;
 Viscous Flow;
 Boundary Value Problems;
 Ducted Flow;
 Finite Difference Theory;
 Flow Equations;
 Inlet Flow;
 Pressure Distribution;
 Transport Properties;
 Fluid Mechanics and Heat Transfer