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Construction, verification of a software for the 2D dam-break flow and some its applications

In this paper the numerical method for the shallow water equations is studied. The paper consists of 3 sections. In t he section 1 t he t heoretical basis and software IMECI-L2DBREAK for simulation of the 2D dam-break or dyke-break flows is outlined. In the section 2 some results in verification of the IMECH_2DBREAK by the test cases proposed in the big European Hydraulics Laboratories are shown. | Vietnam J ournal of Mechanics, VAST, Vol. 29, No. 4 (2007), pp. 539 - 550 CONSTRUCTION , VERIFICATION OF A SOFTWARE FOR THE 2D DAM-BREAK FLOW AND SOME ITS APPLICATIONS HOANG VAN LAI , NGUYEN THANH DON Institute of Mechanics Abstract . In this paper the numerical method for the shallow water equations is studied. The paper consists of 3 sections. In t he section 1 t he t heoretical basis and software IMECI-L2DBREAK for simulation of the 2D dam-break or dyke- break flows is o utlined. In the section 2 some results in verification of the IMECH_2DBREAK by the test cases proposed in the big European Hydraulics Laboratories are shown . In the last section some appli cations of IMECH_2DBREAK for the inundation problem in t he Red river delta in the Northern of Vietnam are presented. 1. INT R ODUCTI ON Analyses of the dam-break or t he dyke-break flows play an essential role when considering reservoir and dyke safeties for developing emergency plans. The rapid and continuing development of computing power a . . 1d techniques during the last years has allowed significant advances in the numerical modelling techniques in that difficult and important problem. The shallow water equations (SWE) are accepted for many practical applications as properly modelling the unsteady flow of water in general, modelling the dam-break and the dyke-break flows in particular. Many computational methods have been reported successful for SvVE. In the last few years a lot of effort has been devoted to the development of the finite volume method (FVM) in modelling the dam-break and the dyke-break flows and many papers have been published (see, for instance, [1] - [6]). · In this paper we concentrate on the Roe technique in FVM for SWE, especially in the case of the flow with shock waves . The paper is organized as follows. After introduction in the section 1 the main formulas of the FVM for SvVE are outlined, the boundary conditions for FVM are described. Applying those formulas and condit .