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How surface tension affect delta t?

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Old   February 24, 2005, 23:04
Default How surface tension affect delta t?
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Pei-Yng Hsieh
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Hi,

For two fluid flow with strong surface tension (VOF method, no phase change), how does it affect determing delta t?

Is there any dimensionless number (such as Courant number) that can be used to roughly calculate the maximum delta t for stability (transient problem)?

Regards,

Pei
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Old   February 25, 2005, 01:55
Default Re: How surface tension affect delta t?
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Junseok Kim
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There is a nondimensional number related to surface tension effect, We, Weber number.

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Old   February 25, 2005, 10:54
Default Re: How surface tension affect delta t?
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Pei-Ying Hsieh
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HI, Junseok,

Thanks for the reply. I understand that Weber number is the ratio between inertia force and surface tension force. But, for CFD, how to use this number to calculate maximum delta t allowed?

Using Courant number as an example:

delta t = CFL * delta x / maximum velocity

Pei
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Old   February 25, 2005, 11:55
Default Re: How surface tension affect delta t?
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Junseok Kim
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Take a look at Mark Sussman1 and Elbridge Gerry Puckett's paper. You will find what you wanted.

Journal of Computational Physics 162, 301–337 (2000)

A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows
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