한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제37권10호
  • /
  • Pages.845-855
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  • 2004
  • /
  • 2799-8746(pISSN)
  • /
  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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HLLC Approximate Riemann Solver를 이용한 천수방정식 해석

Analysis of Shallow-Water Equations with HLLC Approximate Riemann Solver

  • 김대홍 (한국수자원공사 수자원연구소) ;
  • 조용식 (한양대학교 공과대학 토목공학과)
  • 발행 : 2004.10.01
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초록

본 연구에서는 수치모형을 이용하여 근해지진해일의 처오름 현상과 전파양상을 이용하여 해석하였다. 모의에 사용된 수치모형은 지진해일 거동의 해석에 적합한 비선형 천수방정식을 지배방정식으로 채택하였으며, 유한체적법을 이용하여 해석영역을 이산화 하였고 Riemann 문제를 해석하기 위하여 HLLC approximate Riemann solver와 Weighted Averaged Flux 기법을 이용하였다. 수치모형의 검증을 위하여 마찰 없는 수조에서의 수면진동문제와 원형섬 주위에서 고립파의 진행과 처오름에 대한 문제에 적용하여 각각 해석해 및 실험결과와 비교하였다. 수치모형에 의한 결과는 해석해와 수리모형실험 관측자료와 잘 일치하였다.

The propagation and associated run-up process of nearshore tsunamis in the vicinity of shorelines have been analyzed by using a two-dimensional numerical model. The governing equations of the model are the nonlinear shallow-water equations. They are discretized explicitly by using a finite volume method and the numerical fluxes are reconstructed with a HLLC approximate Riemann solver and weighted averaged flux method. The model is applied to two problems; The first problem deals with water surface oscillations, while the second one simulates the propagation and subsequent run-up process of nearshore tsunamis. Predicted results have been compared to available analytical solutions and laboratory measurements. A very good agreement has been observed.

키워드

참고문헌

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피인용 문헌

  1. Development of Two-dimensional Finite Volume Model Applicable to Mixed Meshes vol.44, pp.2, 2011, https://doi.org/10.3741/JKWRA.2011.44.2.109
  2. Numerical Simulation of Urban Flash Flood Experiments Using Adaptive Mesh Refinement and Cut Cell Method vol.44, pp.7, 2011, https://doi.org/10.3741/JKWRA.2011.44.7.511