Mathematical and numerical models for coupling surface and groundwater flows

被引：361

作者：

Discacciati, M

Miglio, E

Quarteroni, A

机构：

[1] Politecn Milan, Dipaartimento Matemat F Brioschi, I-20133 Milan, Italy

[2] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland

来源：

APPLIED NUMERICAL MATHEMATICS | 2002年 / 43卷 / 1-2期

关键词：

Navier-Stokes equations; Darcy's law; interface conditions; domain decomposition; Steklov-Poincare operators;

D O I：

10.1016/S0168-9274(02)00125-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present some results about the coupling of Navier-Stokes and Shallow Water equations for surface flows and Darcy's equation for groundwater flows. We discuss suitable interface conditions and show the well-posedness of the coupled problem in the case of a linear Stokes problem. An iterative method to compute the solution is proposed. At each step this method requires the solution of one problem in the fluid part and one in the porous medium. Finally we introduce the Steklov-Poincare equation associated to the coupled problem. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：57 / 74

页数：18

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