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Grid generation for F.D. model in 2d domain

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Old   August 31, 2001, 05:44
Default Grid generation for F.D. model in 2d domain
  #1
Robin Sanderson
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Hi,

I am very much new to these things so please excuse my ignorance.

Background: I need to solve the unsteady Stokes equations in a liquid bridge between two spheres. Assuming axisymmetry and fore-aft symmetry this leaves a domain with two flat sides (the centrelines), one side that is the arc of a circle, and one side that is a curved free surface, intersecting the circular arc with a contact angle that can be small (almost 0). Note that all boundaries are stationary.

The basic question: is it possible to obtain a grid that will allow me to solve the equations using the F.D. method despite the fairly acute corner of the domain?

Sorry to waffle, thanks.

Rob

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Old   August 31, 2001, 11:48
Default Re: Grid generation for F.D. model in 2d domain
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Abhijit Tosh
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As Finite Difference requires structured grid, the Transfinite Interpolation (TFI) Method of Grid generation may be employed for this problem. For important corner points, clustering around that corner would be suitable.
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Old   September 1, 2001, 13:36
Default Re: Grid generation for F.D. model in 2d domain
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John C. Chien
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(1). Why not take a look at Joe Thompson's book "Numerical Grid Generation", available free on Internet, with Fortran codes attached including various schemes.
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Old   September 3, 2001, 07:58
Default Re: Grid generation for F.D. model in 2d domain
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Robin Sanderson
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Thanks to everyone for their replies. Does anyone out their know of any textbooks that address the problem of sharp corners in domains, and/or anything good on finite volume methods?
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Old   September 3, 2001, 09:01
Default Re: Grid generation for F.D. model in 2d domain
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Peter liang
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Hi Robin:

The FV method can accomodate any kinds of grid. Therefore, it's suitable for complex geometries. The grid defines only the Control Volume(CV) boundaries, and need not be related to a coordinate systems. If CVs boundary is the same as the surface integrals which represent convective n' diffusive fluxes, the F.V. method is conservative.

Disadvantages of F.V. method:

FV requires two levels of approximation: interpolation n' integration, difficult to develop in 3D (Ref: Book " Computational Methods for Fluid Dynamics", J.H.Ferziger).

Hope this helps.

Peter
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Old   September 3, 2001, 09:03
Default Re: Grid generation for F.D. model in 2d domain
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Peter liang
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what's the hyperlink for this book, John?

Many thanx.

peter
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Old   September 3, 2001, 09:08
Default Re: Grid generation for F.D. model in 2d domain
  #7
Robin Sanderson
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Numerical Grid Generation by Thompson, Warsi and Mastin is available at

http://www.erc.msstate.edu/education/gridbook/
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