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Roe의 Flux-difference Splitting 기법을 이용한 자유표면 유동 모사

Numerical Simulation of Free Surface Flows Using the Roe's Flux-difference Splitting Scheme

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참고문헌

키워드

주제분류조선공학

초록

A code is developed to simulate incompressible free surface flows using the Roe's flux- difference splitting scheme. An interface of two fluids is considered as a moving contact discontinuity. The continuities of pressure and normal velocity across the interface are enforced by the conservation law in the integral sense. The fluxes are computed using the Roe's flux-difference splitting scheme for two incompressible fluids. The interface can be identified based on the computed density distribution. However, no additional treatment is required along the interface during the whole computations. Complicated time evolution of the interface including topological change can be captured without any difficulties. The developed code is applied to simulate the Rayleigh-Taylor instability of two incompressible fluids in the density ratio of 7.2:1 and the broken dam problem of water-air. The present results are compared with other available results and good agreements are achieved for the both cases.

Abstract

A code is developed to simulate incompressible free surface flows using the Roe's flux- difference splitting scheme. An interface of two fluids is considered as a moving contact discontinuity. The continuities of pressure and normal velocity across the interface are enforced by the conservation law in the integral sense. The fluxes are computed using the Roe's flux-difference splitting scheme for two incompressible fluids. The interface can be identified based on the computed density distribution. However, no additional treatment is required along the interface during the whole computations. Complicated time evolution of the interface including topological change can be captured without any difficulties. The developed code is applied to simulate the Rayleigh-Taylor instability of two incompressible fluids in the density ratio of 7.2:1 and the broken dam problem of water-air. The present results are compared with other available results and good agreements are achieved for the both cases.

참고문헌 (13)

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  3. Martin, J, "An Experi Mental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane", Philosophical Transactions of the Royal Society A, 244통권 : 882, pp.312~324 (1952)
  4. 박일룡, "VOF법의 자유수면 포착정도 향상을 위한 연구", 대한조선학회 논문집, 42(2), pp.88~97 (2005), 대한조선학회
  5. Popinet, S, "A Front-Tracking Algorithm for Accurate Representation of Surface Tension", International Journal for Numerical Methods in Fluids, 30(6), pp.775~793 (1999)
  6. Qian, L, "A Free-surface Capturing Method for Two Fluid Flows with Moving Bodies", Proceedings of the Royal Society, 통권 : 422, pp.21~42 (2006)
  7. Roe, P.L, "Approximate Riemann Solvers, Parameter Vectors and Difference Schemes", Journal of Computational Physics, 43(2), pp.357~372 (1981)
  8. Sheu, T.W.H, "Development of a Dispersively Accurate Conservative Level Set Scheme for Capturing Interface in Two-phase Flows", Journal of Computational Physics, 228(3), pp.661~686 (2009)
  9. Shin, S, "Effects of Flexibility on Propulsive Force Acting on a Heaving Foil", Ocean Engineering, 36(3), pp.285~294 (2009)
  10. 신상묵, "Hybrid Cartesian", Immersed Boundary 법을 이용한2차원 변형날개 주위 점성유동 해석, 2006, pp.43(5), 538~549[DOI]
  11. Shin, S, "Numerical Simulation on an Interaction of a Vortex Street with an Elliptic Leading Edge Using an Unstructured Grid", International Journal for Numerical Methods in Fluids, 44(3), pp.331~346 (2004)
  12. 신상묵, "동압 계수의 불연속성을 이용한 내면파의 수치해석", 대한조선학회 논문집, 41(4), pp.17~29 (2004), 대한조선학회
  13. 염덕준, "2차원 쐐기형 구조물의 슬래밍 현상에 대한 수치 유동해석", 대한조선학회 논문집, 45(5), pp.477~486 (2008), 대한조선학회

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