Time adaptivity in the diffusive wave approximation to the shallow water equations

被引：8

作者：

Collier, Nathan ^{[1
]}

Radwan, Hany ^{[1
]}

Dalcin, Lisandro ^{[2
]}

Calo, Victor M. ^{[1
]}

机构：

[1] King Abdullah Univ Sci & Technol, Thuwal, Saudi Arabia

[2] Ctr Int Metodos Computac Ingn, Santa Fe, Santa Fe, Argentina

来源：

JOURNAL OF COMPUTATIONAL SCIENCE | 2013年 / 4卷 / 03期

关键词：

Time adaptivity; Shallow water flow; Overland flow; GENERALIZED-ALPHA METHOD; RUNGE-KUTTA METHODS; ISOGEOMETRIC ANALYSIS;

D O I：

10.1016/j.jocs.2011.07.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：152 / 156

页数：5

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