Finite Volume Element Approximation of the Coupled Continuum Pipe-Flow/Darcy Model for Flows in Karst Aquifers

被引：9
|
作者：
Liu, Wei [1 ]
Kang, Zhijiang [2 ]
Rui, Hongxing [3 ]
机构：
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China
[2] SINOPEC Petr Explorat & Prod Res Corp, Beijing 100083, Peoples R China
[3] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
COVOLUME;
D O I：
10.1002/num.21813
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A finite volume element method is applied to approximate the continuum pipe-flow/Darcy problem, which models the coupled conduit flow and porous media flow in Karst aquifers. A decoupled scheme is proposed for solving the coupled discretization problem. Optimal error estimates in L2 norm and H 1 norm are given in this article. Some numerical examples are presented to verify the theoretical results and demonstrate the effectiveness of the decoupling approach. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 376-392, 2014 Copyright © 2013 Wiley Periodicals, Inc.
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页码：376 / 392
页数：17
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