Name
Abstract | ||
|---|---|---|
This study compares several block-oriented preconditioners for the stabilized finite element discretization of the incompressible Navier-Stokes equations. This includes standard additive Schwarz domain decomposition methods, aggressive coarsening multigrid, and three preconditioners based on an approximate block LU factorization, specifically SIMPLEC, LSC, and PCD. Robustness is considered with a particular focus on the impact that different stabilization methods have on preconditioner performance. Additionally, parallel scaling studies are undertaken. The numerical results indicate that aggressive coarsening multigrid, LSC and PCD all have good algorithmic scalability. Coupling this with the fact that block methods can be applied to systems arising from stable mixed discretizations implies that these techniques are a promising direction for developing scalable methods for Navier-Stokes. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2011.09.001 | J. Comput. Physics |
Keywords | Field | DocType |
finite element discretization,incompressible navier-stokes equation,scalable block,aggressive coarsening multigrid,numerical result,different stabilization method,good algorithmic scalability,schwarz domain decomposition method,approximate block lu factorization,block method,block-oriented preconditioners | Discretization,Mathematical optimization,Preconditioner,Finite element method,Robustness (computer science),Multigrid method,LU decomposition,Domain decomposition methods,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
231 | 2 | 0021-9991 |
Citations | PageRank | References |
7 | 0.61 | 16 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Eric C. Cyr | 1 | 51 | 8.66 |
| John N. Shadid | 2 | 259 | 32.24 |
| Raymond S. Tuminaro | 3 | 145 | 15.07 |