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

页码：545 / 564

页数：20

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