Preconditioned Krylov subspace methods used in solving two-dimensional transient two-phase flows

✍ Scribed by Magnus Nordsveen; Randi Moe

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 216 KB
• Volume: 31
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19991215)31:7<1141::aid-fld916>3.0.co;2-g

✦ Synopsis

This paper investigates the performance of preconditioned Krylov subspace methods used in a previously presented two-fluid model developed for the simulation of separated and intermittent gas -liquid flows. The two-fluid model has momentum and mass balances for each phase. The equations comprising this model are solved numerically by applying a two-step semi-implicit time integration procedure. A finite difference numerical scheme with a staggered mesh is used. Previously, the resulting linear algebraic equations were solved by a Gaussian band solver. In this study, these algebraic equations are also solved using the generalized minimum residual (GMRES) and the biconjugate gradient stabilized (Bi-CGSTAB) Krylov subspace iterative methods preconditioned with incomplete LU factorization using the ILUT(p, ~) algorithm. The decrease in the computational time using the iterative solvers instead of the Gaussian band solver is shown to be considerable.