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Old   September 5, 2003, 03:54
Default two phase model - pressure
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I am working on a CFD code in which the Navier Stokes equations are solved for a one phase fluidum. I want to extend this to a two phase model by solving the Navier Stokes equations for each phase seperately (which are coupled by a drag force term). So I get two velocity fields. What should I do with the pressure? Two pressure fields or just one? In case of two pressure fields can I use the SIMPLE method (by Patankar) for each phase? Hopefully somebody has experience with this. Thanks in advance.

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Old   September 5, 2003, 06:12
Default Re: two phase model - pressure
Bart Prast
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Except for surface tension effects (Laplace pressure inside a droplet with surface tension and small radius) the pressure fields should be the same.
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Old   September 7, 2003, 18:48
Default Re: two phase model - pressure
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Hi there,

You may look at the following review papers first. (1) Annu. Rev. Fluid Mech. 31: 567每603; (2) J. Comput. Phys. 169: 463每502; (3) J. Comput. Phys. 169: 708每759.

What you are thinking is probably called the ※sharp interface method§, and you may find the following papers and the references therein useful. J. Comput. Phys. 148: 366-396. J. Comput. Phys. 171: 822每842. J. Comput. Phys. 160: 151-178.

We too have introduced some concepts in dealing with the singularities of discontinuous pressure and normal derivatives of velocity. (J. Comput. Phys. 187: 255每273).

Recently, we have a paper in press particularly on the projection scheme with the pressure jump. If you are interested, I can send you the preprint.

Hope this helps.

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Old   September 8, 2003, 09:25
Default Re: two phase model - pressure
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Tony, can you send me the preprint? Thanks
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