Journal of Coastal Disaster Prevention 2015;2(1):1-8.
Published online January 30, 2015.
Simulation of Moving Boundary in Shallow Water Equations by the Discontinuous Galerkin Finite Element Method
Haegyun Lee, Namjoo Lee
불연속 갤러킨 유한요소법을 이용한 천수방정식의 이동경계 모의
이해균, 이남주
 
Abstract
The wet-dry scheme for moving boundary treatment is implemented in the framework of discontinuous Galerkin shallow water equations. As a formulation of approximate Riemann solver, the HLL (Harten-Lax-van Leer) numerical fluxes are employed and the TVB (Total Variation Bounded) slope limiter is used for the removal of unnecessary oscillations. As benchmark test problems, the dam-break problem and the classical problem of periodic oscillation in the parabolic bowl are solved with linear triangular elements and second-order Runge-Kutta scheme and compared with exact solutions. In all case studies, good agreement is observed with exact solutions.
Key Words: Discontinuous Galerkin method; Runge-Kutta Method; Slope limiter; Wet-dry scheme; Shallow water equation
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