Fast elliptic solvers and their application to fluid dynamics problems
Abstract
The properties of fast elliptic solvers are summarized and examples of their application to fluid dynamics problems, particulary in irregular shaped regions, are given. The discussion is restricted to twodimensional problems although a generalization to multidimensions is possible. Several programs were compared on an IBM 370/168 computer clearly showing a greater efficiency for the direct methods as compared to the iterative schemes (ADI and SOR). The capacitance matrix technique used to solve elliptic equations on irregular regions is described. As examples, a subroutine (AOBST) for the solution of Poisson's equation on a twodimensional rectangle with obstacles and internal Dirichlet conditions as well as a testprogram for potential flow is described.
 Publication:

In Von Karman Inst. for Fluid Dyn. Computational Fluid Dyn
 Pub Date:
 1978
 Bibcode:
 1978cofd....2.....S
 Keywords:

 Applications Programs (Computers);
 Elliptic Differential Equations;
 Numerical Analysis;
 Two Dimensional Flow;
 Boundaries;
 Helmholtz Vorticity Equation;
 Ibm Computers;
 Poisson Equation;
 Potential Flow;
 Subroutine Libraries (Computers);
 Fluid Mechanics and Heat Transfer