자유수면 보정기법을 이용한 3차원 천수유동 수치모형

• 영문명: A three-dimensional numerical model for shallow water flows using a free surface correction method
• 발행기관: 한국방재학회
• 저자명: 장원재 이승오 조용식 Jang, Won-Jae Lee, Seung-Oh Cho, Yong-Sik
• 간행물 정보: 『3. 한국방재학회 학술대회논문집』2007년, 181~188쪽, 전체 8쪽
• 주제분류: 공학 > 기타공학
• 파일형태: PDF
• 발행일자: 2007.02.22

영문 초록

A free-surface correction(FSC) method is presented to solve the 3-D shallow water equations. Using the mode splitting process, FSC method can simulate shallow water flows under the hydrostatic assumption. For the hydrostatic pressure calculation, the momentum equations are firstly discretized using a semi-implicit scheme over the vertical direction leading to the tri-diagonal matrix systems. A semi-implicit scheme has been adopted to reduce the numerical instability caused by relatively small vertical length scale compare to horizontal one. and, as the free surface correction step the final horizontal velocity fields are corrected after the final surface elevations are obtained. Finally, the vertical final velocity fields can be calculated from the continuity equation. The numerical model is applied to the calculation of the simulation of flow fields in a rectangular open channel with the tidal influence. The comparisons with the analytical solutions show overall good agreements between the numerical results and analytical solutions.

키워드

finite difference method tri-diagonal matrix free-surface correction