SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies

被引:140
作者
Delestre, Olivier [1 ,3 ,4 ]
Lucas, Carine [1 ]
Ksinant, Pierre-Antoine [1 ,2 ]
Darboux, Frederic [2 ]
Laguerre, Christian [1 ]
Vo, T. -N. -Tuoi [1 ]
James, Francois [1 ]
Cordier, Stephane [1 ]
机构
[1] Univ Orleans, UFR Sci, MAPMO UMR CNRS 7349, F-45067 Orleans 2, France
[2] Ctr Rech Orleans, UR Sci Sol, UR0272, INRA, F-45075 Orleans 2, France
[3] CNRS, Inst Jean Le Rond dAlembert, F-75005 Paris, France
[4] Univ Paris 06, UMR 7190, F-75005 Paris, France
关键词
shallow water equation; analytic solutions; benchmarking; validation of numerical methods; steady-state flow; transitory flow; source terms; WELL-BALANCED SCHEME; FLOW; EQUATIONS; MODEL; SIMULATION;
D O I
10.1002/fld.3741
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Numerous codes are being developed to solve shallow water equations. Because these are used in hydraulic and environmental studies, their capability to simulate flow dynamics properly is critical to guarantee infrastructure and human safety. Although validating these codes is an important issue, code validations are currently restricted because analytic solutions to the shallow water equations are rare and have been published on an individual basis over a period of more than five decades. This article aims at making analytic solutions to the shallow water equations easily available to code developers and users. It compiles a significant number of analytic solutions to the shallow water equations that are currently scattered through the literature of various scientific disciplines. The analytic solutions are described in a unified formalism to make a consistent set of test cases. These analytic solutions encompass a wide variety of flow conditions (supercritical, subcritical, shock, etc.), in one or two space dimensions, with or without rain and soil friction, for transitory flow or steady state. The corresponding source codes are made available to the community (http://www.univ-orleans.fr/mapmo/soft/SWASHES), so that users of shallow water-based models can easily find an adaptable benchmark library to validate their numerical methods. Copyright (c) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码:269 / 300
页数:32
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