Development of Two-dimensional Finite Volume Model Applicable to Mixed Meshes

Abstract

In this study, 2D finite volume model, which can apply to the mixed meshes that is effective to treat the complicated topography such as a natural river, is developed. To do so, an algorithm for finding the neighbouring cell of a computational cell is introduced, and fluxes are computed using the HLLC approximate Riemann solver at each interface between a computational cell and it's neighbouring cells. Moreover, in order to numerically treat the bed slope which has important effect on the balance between flux gradients and sourte terms, different formula to compute the bed slope for rectangular and triangular mesh are applied. The developed model is applied to analyze dam-break in an experimental channel with 90°bend and Malpasset dam-break in France. The two cases consist of mixed meshes and the suggested method is validated for the experimental channel and natural channel by comparison with the experimental data, field data and computed results.

Performance Improvement of Computing Time of 2 Dimensional Finite Volume Model using MPI

“…실측된 지점들을 Fig. 9에 (Valiani et al, 2002;Kim et al, 2011 (Valiani et al, 2002;Yoon and Kang, 2004;Brufau et al, 2004;Liang et al, 2007;Kim et al, 2011…”

“…3. 2차원 유한체적 모형의 병렬화 기 개발된 고정확도 2차원 유한체적 모형(Kim et al, 2009; Kim et al, 2011)은 마른하도 및 자연하천에서의 홍 수파 전파해석을 위해 2차원 천수방정식을 Unsplit 유한체 적기법과 HLLC Riemann 해법을 이용하여 해석한 모형으 로(Kim et al, 2009), 복잡한 지형의 효율적 처리를 위해 삼각형 및 사각형 혼합격자에 적용 가능하도록 확장, 발전 시켰다(Kim et al, 2011). 흐름률과 생성항의 균형을 위해 수면경사법을 사용하였으며, 시간과 공간에 대해 2차 정확 도를 가지는 MUSCL 기법으로 확장하였다.…”