A block-centered finite difference method for Darcy-Forchheimer model with variable Forchheimer number
A block-centered finite difference method for Darcy-Forchheimer model with variable Forchheimer number
复制标题
变Forchheimer数Darcy-Forchheimer模型的块中心有限差分法
DOI：
10.1002/num.21963
复制
发表时间：
2015-09-01
影响因子：
3.9
通讯作者：
Pan, Hao
中科院分区：
文献类型：
--
作者：
Rui, Hongxing;Zhao, Danhui;Pan, Hao
采用块心有限差分格式求解变Forchheimer数的非线性Darcy-Forchheimer方程，该格式可以同时逼近速度和压力。对于可变Forchheimer数，在非均匀矩形网格上建立了压力和速度的二阶误差估计。给出了求解非线性系统的迭代过程。数值实验表明，该方法的收敛速度与理论分析一致。(c) 2015 Wiley期刊公司数值方法偏微分方程31 (3):1603-1622,2015
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