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You are here : eLibrary : IAHR World Congress Proceedings : 36th Congress - The Hague (2015) FULL PAPERS : THEME 4- WATER ENGINEERING : MOVING BOUNDARY TREATMENT FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN SHALLOW WATER MODEL
MOVING BOUNDARY TREATMENT FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN SHALLOW WATER MODEL
Author : HAEGYUN LEE & NAMJOO LEE
A 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 problems and the classical problem of periodic oscillation in the parabolic bowl are solved with linear triangular elements and second-order Runge-Kutta scheme. The results are compared with exact solutions and the numerical solutions of previous study. For a more practical application, the implicit Runge-Kutta scheme is employed for the bottom friction terms and the moving shoreline in a rectangular basin of varying slopes is simulated. In all case studies, good agreement is observed with exact solutions or other well-known numerical solutions.
File Size : 1,793,002 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 36th Congress - The Hague (2015) FULL PAPERS
Article : THEME 4- WATER ENGINEERING
Date Published : 19/04/2016
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