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You are here : eLibrary : IAHR World Congress Proceedings : 35th IAHR Congress - Chengdu (2013) : THEME 7 - WATER RESOURCES AND HYDROINFORMATICS : Simulation of Shallow Water Flow by Discontinuous Galerkin Finite Element Method
Simulation of Shallow Water Flow by Discontinuous Galerkin Finite Element Method
Author : Haegyun Lee and Nam-Joo Lee
Numerical solutions of 1D and 2D shallow water equations are presented with Runge-Kutta discontinuous Galerkin (RKDG) finite element method. For 1D problems, the transcritical flows such as dam-break flows and a flow over a hump with hydraulic jump were simulated and the numerical solutions were compared with the exact solutions. As a formulation of approximate Riemann solver, the local Lax-Wendroff (LLF) fluxes were employed and minmod slope limiter was used for 1D flows. For 2D applications, the classical problems of lateral transition were simulated. The HLL fluxes were adopted and a van Albada type gradient-reconstruction type slope limiter was applied. For the time rd nd integration, 3 -order and 2 -order TVD Runge-Kutta schemes were used for 1D and 2D simulations, respectively. In all case studies, good agreement was observed.
File Size : 658,072 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 35th IAHR Congress - Chengdu (2013)
Date Published : 19/07/2016
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