불연속 갤러킨 유한요소법을 이용한 천수방정식의 이동경계 모의

• 영문명: Simulation of Moving Boundary in Shallow Water Equations by the Discontinuous Galerkin Finite Element Method
• 발행기관: 한국연안방재학회
• 저자명: 이해균(Haegyun Lee) 이남주(Namjoo Lee)
• 간행물 정보: 『한국연안방재학회지』제2권 제1호, 1~8쪽, 전체 8쪽
• 주제분류: 사회과학 > 사회과학일반
• 파일형태: PDF
• 발행일자: 2015.01.30

영문 초록

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.

목차

1. 서 론

2. 지배방정식과 수치기법

3. 적용 사례

4. 결론 및 향후 연구

키워드

Discontinuous Galerkin method Runge-Kutta Method Slope limiter Wet-dry scheme Shallow water equation