Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
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Numerical Simulation of Free Surface Flows Using the Roe's Flux-difference Splitting Scheme

Roe의 Flux-difference Splitting 기법을 이용한 자유표면 유동 모사

  • Shin, Sang-Mook (Dept. of Naval Architecture and Marine Systems Engineering, Pukyong National University) ;
  • Kim, In-Chul (Dept. of Naval Architecture and Marine Systems Engineering, Pukyong National University) ;
  • Kim, Yong-Jig (Dept. of Naval Architecture and Marine Systems Engineering, Pukyong National University)
  • 신상묵 (부경대학교 조선해양시스템공학과) ;
  • 김인철 (부경대학교 조선해양시스템공학과) ;
  • 김용직 (부경대학교 조선해양시스템공학과)
  • Published : 2010.02.20
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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.

Keywords

References

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