Analysis of a second-order upwind method for the simulation of solute transport in 2D shallow water flow

被引：45

作者：

Murillo, J. ^{[1
]}

Garcia-Navarro, P. ^{[1
]}

Burguete, J. ^{[2
]}

机构：

[1] Univ Zaragoza, CPS, E-50009 Zaragoza, Spain

[2] CSIC, EEAD, Madrid, Spain

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2008年 / 56卷 / 06期

关键词：

solute transport; convection; diffusion; shallow water flow; source terms; coupled system; finite volumes; two-dimensional model; conservation;

D O I：

10.1002/fld.1546

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A two-dimensional model for the simulation of solute transport by convection and diffusion into shallow water flow over variable bottom is presented. It is based on a finite volume method over triangular unstructured grids. A first-order upwind technique, a second order in space and time and an extended first-order method are applied to solve the non-diffusive terms in both the flow and solute equations and a centred implicit discretization is applied to the diffusion terms. The stability constraints are studied and the form to avoid oscillatory results in the solute concentration in the presence of complex flow situations is detailed. Some comparisons are carried out in order to show the performance in terms of accuracy of the different options. Copyright (C) 2007 John Wiley & Sons, Ltd.

引用

页码：661 / 686

页数：26

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