한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제44권2호
  • /
  • Pages.145-156
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  • 2011
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  • 2799-8746(pISSN)
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  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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Quasi-steady Wave Propagation 알고리듬을 이용한 2차원 수치모형의 하상경사항 처리

Treatment of the Bed Slope Source Term for 2-Dimensional Numerical Model Using Quasi-steady Wave Propagation Algorithm

  • 김태형 (경북대학교 공과대학 건축.토목공학부) ;
  • 한건연 (경북대학교 공과대학 건축.토목공학부) ;
  • 김병현 (캘리포니아 주립대학교 얼바인, 토목.환경공학과)
  • Kim, Tae-Hyung (School of Archi. & Civil Engineering, Kyungpook National Univ.) ;
  • Han, Kun-Yeun (School of Archi & Civil Engineering, Kyungpook National Univ.) ;
  • Kim, Byung-Hyun (Dept. of Civil & Environmental Engineering, University of California)
  • 투고 : 2010.11.04
  • 심사 : 2011.02.14
  • 발행 : 2011.02.28
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초록

본 연구에서는 자연하천의 흐름에서 흔히 발생하는 천이류, 불연속류, 마른하도로의 파의 전파 등을 포함하는 복잡한 흐름을 해석하기 위한 고정확도 2차원 수치모형을 개발하였다. 하상경사항을 효율적으로 처리하기 위해 quasi-steady wave propagation 기법을 적용하여 해당 격자에 대한 생성항의 영향을 효율적으로 반영함으로써 쌍곡선형 적분 보존형의 2차원 천수방정식을 해석하였다. Fractional Step Method를 적용한 유한체적기법의 사용을 위해 HLL Riemann 해법을 이용하여 흐름률을 계산하였고, 시간 및 공간에 대한 2차 정확도를 만족하기 위해 MUSCL 기법을 적용하였다. 2차 정확도의 사용으로 불연속지점에서 발생하는 수치진동은 TVD 기법 적용을통해 제어하였다. 개발된모형은 2차원 제방 붕괴 및 댐하류부에 구조물이 존재하는 경우의댐 붕괴 모의를 통해실측치와의 검증을 실시하였다. 또한 하류부에 역경사가 존재하는 경우의 댐 붕괴 모의를 통해 실측치와 비교함으로써 생성항의 영향에 대한 모형의 적용성을 검증하였다.

Two dimensional numerical model of high-order accuracy is developed to analyze complex flow including transition flow, discontinuous flow, and wave propagation to dry bed emerging at natural river flow. The bed slope term of two dimensional shallow water equation consisting of integral conservation law is treated efficiently by applying quasi-steady wave propagation scheme. In order to apply Finite Volume Method using Fractional Step Method, MUSCL scheme is applied based on HLL Riemann solver, which is second-order accurate in time and space. The TVD method is applied to prevent numerical oscillations in the second-order accurate scheme. The developed model is verified by comparing observed data of two dimenstional levee breach experiment and dam breach experiment containing structure at lower section of channel. Also effect of the source term is verified by applying to dam breach experiment considering the adverse slope channel.

키워드

참고문헌

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피인용 문헌

  1. Finite-Volume Model for Shallow-Water Flow over Uneven Bottom vol.46, pp.2, 2013, https://doi.org/10.3741/JKWRA.2013.46.2.139