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 |
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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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