Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Development of TVD Numerical Models: I. Linear Advection Equation

TVD 수치모형의 개발: I. 선형 이송방정식

  • Lee, Jong-Uk (Dept. of Civil Engineering, Engineering Collage, Hanyang University) ;
  • Jo, Yong-Sik (Dept. of Civil Engineering, Engineering Collage, Hanyang University) ;
  • Yun, Gwang-Seok (Korea Institute of Construction Technology) ;
  • Yu, Tae-Hun (Dept. of Civil Engineering, Engineering Collage, Hanyang University)
  • 이종욱 (한양대학교 공과대학 토목공학과) ;
  • 조용식 (한양대학교 공과대학 토목공학과) ;
  • 윤광석 (한국건설기술연구원) ;
  • 유태훈 (한양대학교 공과대학 토목공학과)
  • Published : 2001.04.01
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Abstract

By using he total variation diminishing (TVD) condition, accurate and upwind based schemes are firstly introduced to develop numerical models free from nonphysical oscillations in the vicinity of large gradients. These models are then applied to both abruptly and smoothly varying initial conditions. By comparing computed predictions to analytical solutions, it is clearly shown that the first-order upwind scheme produces the numerical viscosity and the second-order Lax-Wendroff scheme produces the spurious oscillations. However, the TVD scheme gives the most reasonable results.

2차 이상의 정확도를 가지며 불연속면에서 수치진동이 발생하지 않는 수치모형의 개발을 위해 풍상차분기법에 기초한 TVD기법이 소개되었다. 이 수치모형을 불연속면 이 존재하는 경우와 존재하지 않는 경우에 대해 적용하였으며, 이 결과 1차 정확도의 풍상차분기법은 시간이 지나면서 수치점성의 영향이 커졌으며 2차 정확도의 Lax-Wendroff기법의 경우에는 불연속면에서 진동이 발생하였다. 그러나 TVD기법은 모든 경우에서 만족스러운 결과를 예측하였다.

Keywords

References

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