Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Development of Two-dimensional Finite Volume Model Applicable to Mixed Meshes

혼합격자의 적용이 가능한 2차원 유한체적모형의 개발

  • Kim, Byung-Hyun (Dept. of Civil & Environmental Engineering, University of California) ;
  • Han, Kun-Yeon (Dept. of Archi & Civil Engineering, Kyungpook National University) ;
  • Son, Ah-Long (Dept. of Archi & Civil Engineering, Kyungpook National University)
  • 김병현 (캘리포니아 주립대학교 얼바인, 토목.환경공학과) ;
  • 한건연 (경북대학교 공과대학 건축.토목공학부) ;
  • 손아롱 (경북대학교 공과대학 건축.토목공학부)
  • Received : 2010.06.03
  • Accepted : 2011.01.21
  • Published : 2011.02.28
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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 $90^{\circ}$ 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.

본 연구에서는 자연하천과 같은 복잡한 지형의 처리에 효율적인 삼각형 및 사각형 혼합격자의 적용이 가능한 2차원 유한체적모형을 개발하였다. 이를 위해 계산격자의 인접격자를 찾는 알고리즘을 제안하고, 제안 기법을 개발모형에 적용하여 계산격자 및 인접격자의 경계면에서의 흐름률을 HLLC 근사 Riemann 해법을 이용하여 계산하였다. 또한 흐름률과 생성항사이의 균형에 중요한 영향을 주는 혼합격자의 하상경사 처리를 위해 삼각형 및 사각형 격자에 대해 각각 다른 하상경사 계산식을 적용하였다. 개발모형을 혼합격자로 구성된 $90^{\circ}$ 만곡이 존재하는 실험하도에 대한 댐 붕괴 해석 및 자연하천인 Malpasset 댐 붕괴 해석에 적용하고, 계산결과를 실험자료 및 현장조사자료와 비교함으로써 본 연구에서 제안한 기법을 실험하도 및 자연하천에 대해 검증하였다.

Keywords

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