Title
A Block-Centered Finite Difference Method for the Darcy-Forchheimer Model.
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
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 Rui119937.20
Hao Pan2466.94