Abstract | ||
---|---|---|
A block-centered finite difference scheme is introduced to solve the nonlinear Darcy-Forchheimer equation, in which the velocity and pressure can be approximated simultaneously. The second-order error estimates for both pressure and velocity are established on a nonuniform rectangular grid. Numerical experiments using the scheme show the consistency of the convergence rates of our method with the theoretical analysis. |
Year | DOI | Venue |
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2012 | 10.1137/110858239 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
Darcy-Forchheimer model,block-centered finite difference,numerical analysis | Convergence (routing),Mathematical optimization,Nonlinear system,Finite difference scheme,Mathematical analysis,Finite difference coefficient,Finite difference method,Numerical analysis,Mathematics,Grid | Journal |
Volume | Issue | ISSN |
50 | 5 | 0036-1429 |
Citations | PageRank | References |
25 | 1.77 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hongxing Rui | 1 | 199 | 37.20 |
Hao Pan | 2 | 46 | 6.94 |