Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Modification of MUSCL Scheme for Application of Non-uniform Grid

비정형격자의 적용을 위한 MUSCL 기법의 수정

  • Kim, Byung-Hyun (Dept. of Civil Engineering, Kyungpook National University) ;
  • Han, Kun-Yeon (Dept. of Civil Engineering, Kyungpook National University)
  • 김병현 (경북대학교 공과대학 건축.토목공학부 BK21사업단) ;
  • 한건연 (경북대학교 공과대학 건축.토목공학부)
  • Published : 2010.01.31
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Abstract

This paper presents a new and simple technique to perform MUSCL reconstruction for solving 2D shallow water equations. The modified MUSCL scheme uses weighted area ratio to apply non-uniform grid in stead of the previous method that equally distributed the difference of conservation variables to each interface. The suggested method can physically reconstruct conservation variables in case of uniform grid as well as non-uniform grid. In this study, Unsplit scheme applicable to unstructured grid is used and efficient slope limiter of TVD scheme is used to control numerical oscillation which can be occurred in modified MUSCL scheme. For accurate and efficient treatment of bed slope term, the modified MUSCL scheme is coupled with the surface gradient method. The finite volume model applied to suggested scheme is verified through a comparison between numerical solution and laboratory measurements data such as the simulations of isolated building test case and Bellos's dam break test case.

본 논문은 2차원 천수방정식을 해석하기 위해 새롭고 간단한 MUSCL 재구성법을 제안하였다. 수정 MUSCL 기법은 보존변수의 재구성을 위해 계산격자와 인접격자의 보존변수 차에 대해 각 경계면에 균일하게 분배하는 기존 방법 대신 면적가중비를 사용하였으며, 이 방법은 정형격자 뿐만 아니라 비정형 격자의 사용에도 보존변수의 물리적 재구성이 가능하다. 또한, 본 연구에서는 비구조적 격자의 적용이 가능한 차원비분리 기법을 적용하였으며, 수정 MUSCL 기법의 사용으로 발생할 수 있는 수치진동을 제어하기 위해 TVD 기법의 경사제한자를 사용하였다. 하상경사항의 정확하고 효율적인 수치 처리를 위해 수정 MUSCL 기법을 수면경사법과 연계하였다. 제안한 기법을 적용한 유한체적모형을 건물의 영향을 고려한 댐 붕괴 해석 및 Bellos의 댐 붕괴 실험에 적용하고, 적용결과를 실험실 자료 및 기존 연구자의 계산결과와 비교하여 개발모형을 검증하였다.

Keywords

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