A cascadic conjugate gradient algorithm for mass conservative, semi-implicit discretization of the shallow water equations on locally refined structured grids

被引：4

作者：

Bonaventura, L ^{[1
]}

Rosatti, G ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Ingn Civile & Ambientale, I-38050 Trent, Italy

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2002年 / 40卷 / 1-2期

关键词：

cascadic conjugate gradient; multigrid; shallow water equations; semi-implicit schemes;

D O I：

10.1002/fld.274

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A semi-implicit, mass conservative discretization scheme is applied to the two-dimensional shallow water equations on a hierarchy of structured, locally refined Cartesian grids. Different resolution grids are fully interacting and the discrete Helmholtz equation obtained from the semi-implicit discretization is solved by the cascadic conjugate gradient method. A flux correction is applied at the interface between the coarser and finer discretization grids, so as to ensure discrete mass conservation, along with symmetry and diagonal dominance of the resulting matrix. Two-dimensional idealized simulations are presented, showing the accuracy and the efficiency of the resulting method. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：217 / 230

页数：14