A BLOCK-CENTERED FINITE DIFFERENCE METHOD FOR THE DARCY-FORCHHEIMER MODEL

被引：131
|
作者：
Rui, Hongxing [1 ]
Pan, Hao [2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Shandong Agr Univ, Sch Informat Sci & Engn, Tai An 271018, Shandong, Peoples R China
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2012年 / 50卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Darcy-Forchheimer model; block-centered finite difference; numerical analysis; THEORETICAL DERIVATION; FLOW;
D O I：
10.1137/110858239
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：2612 / 2631
页数：20
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