Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 31, Issue 5, Pages 1603-1622Publisher
WILEY
DOI: 10.1002/num.21963
Keywords
block-centered finite difference; Darcy-Forchheimer's model; numerical analysis; variable Forchheimer number
Categories
Funding
- National Natural Science Foundation of China [91330106, 11171190, 11301307]
- Research Fund for Doctoral Program of High Education of China [20120131110003]
Ask authors/readers for more resources
A block-centered finite difference scheme is introduced to solve the nonlinear Darcy-Forchheimer equation with variable Forchheimer number, in which the velocity and pressure can be approximated simultaneously. For variable Forchheimer number the second-order error estimates for both pressure and velocity are established on nonuniform rectangular grid. An iteration process is given to solve the nonlinear system. Numerical experiments using the scheme show the consistency of the convergence rates of the presented methods with the theoretical analysis. (c) 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1603-1622, 2015
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available