A comparison of segregated and coupled methods for the solution of the incompressible Navier-Stokes equations

✍ Scribed by Pascau, Antonio ;Pérez, Carlos ;Serón, Francisco José

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 747 KB
• Volume: 12
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199610)12:10<617::aid-cnm10>3.0.co;2-j

✦ Synopsis

Three different solution methods for the finite-volume discretized incompressible Navier-Stokes equations have been tested: segregated approaches, built around coupling methods such as SIMPLE, SIMPLER and PISO plus a line Gauss-Seidel linear solver; coupled methods, incorporating a penalty formulation to eliminate zero diagonal elements in the coefficient matrices, plus preconditioned GMRES as a linear solver;-and a FAS-full multigrid algorithm accelerating a classical segregated method based upon SIMPLE and the line Gauss-Seidel solver. Results demonstrate that the coupled method compares favourably to the segregated technique at small grid sizes but becomes too expensive for large problems. The FAS-full multigrid algorithm outperforms the other two methods when large numbers of nodes are employed in the simulation.