Second-order accurate monotone finite volume scheme for Richards' equation

被引：15
|
作者：
Misiats, Oleksandr [1 ]
Lipnikov, Konstantin [2 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Los Alamos Natl Lab, BMS B284, Los Alamos, NM 87544 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 239卷
关键词：
Richards' equation; Finite volume; Monotonicity; Accuracy; HYDRAULIC CONDUCTIVITY; INFILTRATION; UPWIND; FLOW; MODEL;
D O I：
10.1016/j.jcp.2012.09.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this work we perform a theoretical and numerical analysis of Richards' equation. For certain types of nonlinearities we provide explicit analytical solutions. These solutions are used to show that conventional unconditionally monotone finite volume schemes have only first-order accuracy. We derive necessary and sufficient conditions for the monotonicity of finite volume discretizations and use these conditions to construct a monotone finite volume discretization accurate to second-order. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：123 / 137
页数：15
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