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Dam-Break and Transcritical Flow Simulation of 1D Shallow Water Equations with Discontinuous Galerkin Finite Element Method
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 Title & Authors
Dam-Break and Transcritical Flow Simulation of 1D Shallow Water Equations with Discontinuous Galerkin Finite Element Method
Yun, Kwang Hee; Lee, Haegyun; Lee, Namjoo;
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Recently, with rapid improvement in computer hardware and theoretical development in the field of computational fluid dynamics, high-order accurate schemes also have been applied in the realm of computational hydraulics. In this study, numerical solutions of 1D shallow water equations are presented with TVD Runge-Kutta discontinuous Galerkin (RKDG) finite element method. The transcritical flows such as dam-break flows due to instant dam failure and transcritical flow with bottom elevation change were studied. As a formulation of approximate Riemann solver, the local Lax-Friedrichs (LLF), Roe, HLL flux schemes were employed and MUSCL slope limiter was used to eliminate unnecessary numerical oscillations. The developed model was applied to 1D dam break and transcritical flow. The results were compared to the exact solutions and experimental data.
Discontinuous galerkin finite element method;Approximate riemannn solver;Slope limiter;Shallow water equation;Dam-break flow;Transcritical flow;
 Cited by
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