Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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New Treatment of Source Terms in Upwind Schemes

상류이송기법에서의 새로운 생성항 처리 기법

  • 김원 (한국건설기술연구원 수자원연구부) ;
  • 한건연 (경북대학교 토목공학과) ;
  • 우효섭 (한국건설기술연구원 수자원연구부) ;
  • 최규현 (경북대학교 토목공학과)
  • Published : 2005.02.01
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Abstract

Upwind schemes are very well adapted to the discontinuous flow and have become popular for applications Involving dam break flow, transcritical Slow, etc. However, upwind schemes have been applied mainly to the idealized problems not to the natural channels with irregular geometry so far because of the error due to source terms. In this paper, the new type of upwind discretization of source terms, which uses the normalized Jacobian to discretize the source terms, is proposed. As results of tests to flows with source terms by the upwind models, the method proposed in this paper is proved as efficient and accurate. This generalized method for differencing source terms is simple and might beapplicable to diverse type of flux upwind discretization scheme in finite difference method.

상류이송기법은 불연속 흐름을 해석할 수 있기 때문에 댐붕괴류, 천이류 등의 해석에 많이 이용되고 있다. 그러나 상류이송기법은 생성항 처리과정에서 발생하는 오차로 인해 불균일한 단면을 가진 자연하천에는 거의 적용되지 못하고 단순화된 하도에만 주로 적용되어 왔다. 본 논문에서는 생성항의 차분화를 위해서 정규화된 Jacobian을 사용하는 상류이송형 생성항 처리기법을 개발하였다. 적용 결과 본 연구에서 제안된 생성항 처리기법이 정확하면서 효율적인 것으로 나타났다. 본 연구에서 제안한 방법은 단순한 형태를 지니고 있으며 다른 상류이송기법에도 다양하게 적용될 수 있을 것으로 판단된다.

Keywords

References

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