Iterative solution procedures for the advanced time pressure field in the SOLA and BAAL fluid flow programs

The SOLA and BAAL programs solve isothermal, incompressible fluid flow problems in two and three spatial dimensions, respectively. Both programs use a type of point successive overrelaxation (SOR) iteration procedure to obtain the advanced time pressure field. For various reasons, these point methods are not always effective. In this paper, the utilization of block SOR methods in the SOLA and BAAL programs are discussed. Computational procedures for automatically determining good estimates for the optimal overrelaxation factor and for automatically deciding when to stop the iterative process are included. The use of block SOR procedures in the SOLA and BAAL programs have reduced the computer time by an order of magnitude for many problems.