Name
Title | ||
|---|---|---|
A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier--Stokes Equations |
Abstract | ||
|---|---|---|
In this paper, a fast direct solver for the Poisson equation on the half-staggered grid is presented. The Poisson equation results from the projection method of the finite difference solution of the incompressible Navier--Stokes equations. To achieve our goal, new algorithms for diagonalizing a semidefinite pair are developed. The fast solver can also be extended to the three-dimensional case. The motivation and related issues in using this half-staggered grid are also discussed. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1137/S1064827595285299 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
fast solver,generalized eigenvalues,Poisson equation,incompressible Navier-Stokes equations | Discrete Poisson equation,Poisson's equation,Finite difference,Mathematical analysis,Uniqueness theorem for Poisson's equation,Finite element method,Projection method,Solver,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
19 | 5 | 1064-8275 |
Citations | PageRank | References |
9 | 0.74 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gene H. Golub | 1 | 2558 | 856.07 |
| Lan Chieh Huang | 2 | 10 | 1.44 |
| Horst D. Simon | 3 | 1900 | 263.98 |
| Wei-Pai Tang | 4 | 96 | 34.36 |