中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1535-1544.doi: 10.1088/1674-1056/17/5/001

• GENERAL •    下一篇

A hybrid scheme for computing incompressible two-phase flows

周 军, 蔡 力, 周凤岐   

  1. Institute of the Precision Guidance and Control, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2007-07-11 修回日期:2007-09-21 出版日期:2008-05-20 发布日期:2008-05-20

A hybrid scheme for computing incompressible two-phase flows

Zhou Jun(周军), Cai Li(蔡力)†, and Zhou Feng-Qi(周凤岐)   

  1. Institute of the Precision Guidance and Control, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2007-07-11 Revised:2007-09-21 Online:2008-05-20 Published:2008-05-20

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摘要： We propose a hybrid scheme for computations of incompressible two-phase flows. The incompressible constraint has been replaced by a pressure Poisson-like equation and then the pressure is updated by the modified marker and cell method. Meanwhile, the moment equations in the incompressible Navier--Stokes equations are solved by our semi-discrete Hermite central-upwind scheme, and the interface between the two fluids is considered to be continuous and is described implicitly as the 0.5 level set of a smooth function being a smeared out Heaviside function. It is here named the hybrid scheme. Some numerical experiments are successfully carried out, which verify the desired efficiency and accuracy of our hybrid scheme.

Abstract: We propose a hybrid scheme for computations of incompressible two-phase flows. The incompressible constraint has been replaced by a pressure Poisson-like equation and then the pressure is updated by the modified marker and cell method. Meanwhile, the moment equations in the incompressible Navier--Stokes equations are solved by our semi-discrete Hermite central-upwind scheme, and the interface between the two fluids is considered to be continuous and is described implicitly as the 0.5 level set of a smooth function being a smeared out Heaviside function. It is here named the hybrid scheme. Some numerical experiments are successfully carried out, which verify the desired efficiency and accuracy of our hybrid scheme.

Key words: two-phase flow, incompressible flow, numerical method

中图分类号:  (Multiphase and stratified flows)

  • 47.55.-t
47.10.ad (Navier-Stokes equations)