Simulation of a Viscous Two-Phase Flow with Complex Interface Deformations

Document Type : Original Article

Authors

1 Research Assistant, Marine Laboratory, Sharif University of Technology

2 Research Assistant, Maritime Division, Transportation Research Institute

3 Associate Professor, Department of Mechanical Engineering, Sharif University of Technology

Abstract

In this paper a compatible computational fluid dynamics procedure is presented for calculation of immiscible viscous incompressible fluids separated by a well-defined interface. Two fluids are modeled as a single continuum with a fluid property jump at the interface by solving a scalar transport equation for volume fraction. The conservation equations for mass and momentum are solved using fractional step method. A Finite Volume discretisation and colocated arrangement are used. Also, the pressure integral term in Navier-Stokes equation is discretised based on a newly developed interpolation which results in non-oscilatoty velocity field especialy at the interface of two high density ratio phases.

Finally, computer code is developed based on the above mentioned algorithm and is verified using dam breaking problem with and without obstacle and Raleigh-Taylor instability. The  results showed a good concordance with available experimental and numerical data.

Keywords

References

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Iran-Water Resources Research
Volume 4, Issue 2
June 2008
Pages 66-74

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History

  • Receive Date: 30 August 2005
  • Accept Date: 13 August 2008

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