MOVING BOUNDARY TREATMENT FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN SHALLOW WATER MODEL

被引：0
|
作者：
Lee, Haegyun [1 ]
Lee, Namjoo [2 ]
机构：
[1] Dankook Univ, Cheonan, South Korea
[2] Kyungsung Univ, Pusan, South Korea
来源：
PROCEEDINGS OF THE 36TH IAHR WORLD CONGRESS: DELTAS OF THE FUTURE AND WHAT HAPPENS UPSTREAM | 2015年
关键词：
discontinuous Galerkin; Runge-Kutta; slope limiter; wet-dry scheme; shallow water equations; FINITE-ELEMENT-METHOD; CONSERVATION-LAWS; EQUATIONS; WAVE; ESTUARIES; SCHEMES; SYSTEMS; BEACH;
D O I：
暂无
中图分类号：
TV21 [水资源调查与水利规划];
学科分类号：
081501 ;
摘要：
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.
引用
收藏
页码：3505 / 3515
页数：11
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