Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Application of TVD-McCormack Scheme to Analysis of Dam-Break Problems

댐붕괴 문제의 해석에 관한 TVD-McCormack기법의 적용

  • Lee, Jong-Kyu (Dept. of Civil Engineering, College of Engineering, Hanyang University) ;
  • Kim, Tae-Kwan (Dept. of Civil Engineering, Hanyang University)
  • 이정규 (한양대학교 공과대학 도시건설환경공학과) ;
  • 김태관 (한양대학교 대학원 토목공학과)
  • Published : 2003.06.01
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Abstract

This is a study on application of a TVD-Mccormack scheme for the computation of one-dimensional dam-break flows. The TVD scheme not only has the ability to damp out oscillations, but also does not contain terms with adjustable parameters. Moreover, the TVD-McCormack scheme does not cause any additional difficulty when dealing with the source term of the equation and retains second-order accuracy in both space and time. In this study, by appropriately designing the limiter functions, the TVD property can be achieved, and numerical oscillations near a jump discontinuities can be eliminated or reduced. Also, this numerical scheme has less computational errors when the direction of the predictor-corrector step is in the same direction as the shock wane propagation.

본 연구에서는 1차원 댐 붕괴 문제의 계산을 위해 TVD-McCormack 기법을 사용하였다. TVD 기법은 진동을 감쇠 시킬 뿐 아니라 수정인자를 가진 항을 포함하지 않는다. 더구나, TVD-McCormack 기법은 source항의 처리에 있어 어려움을 발생시키지 않으며 시간과 공간에 대해 2차 정확도를 유지한다. 제한자의 적당한 적용에 의해 TVD의 특성을 발전시키고, 불연속구간에서의 수치 진동을 줄일 수 있었다. 또한, 본 수치기법에서 예측자(predictor)-보정자(corrector)단계가 충격파의 전파 방향과 같을 때 더 작은 수치오차를 갖는다는 것을 알 수 있었다.

Keywords

References

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