Cell-Centered Finite Difference Method for the One-Dimensional Forchheimer Laws

被引：3
|
作者：
Zhao, Qingli [1 ]
Rui, Hongxing [2 ]
Liu, Wei [3 ]
机构：
[1] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Shandong, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[3] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 02期
关键词：
Cell-centered finite difference; Forchheimer laws; Incompressible fluids; Error estimates; Numerical analysis; THEORETICAL DERIVATION; PARABOLIC EQUATION; ELLIPTIC PROBLEMS; POROUS-MEDIA; DARCYS-LAW; MODEL; FLOW;
D O I：
10.1007/s40840-017-0460-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Cell-centered finite difference method is introduced to solve the one-dimensional Forchheimer laws modeling incompressible fluids in porous media. Using this method, velocity and pressure can be approximated at the same time. Second-order accuracy error estimates for velocity and pressure are established. Numerical experiments are carried out to validate the convergence rates and show the efficiency.
引用
收藏
页码：545 / 564
页数：20
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