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Forum: Main CFD Forum

January 23, 2011, 10:15

Replies: 7

Divergence free polynomials

Views: 3,149

Posted By Jonas Holdeman

Is it necessary to put the potential component? ...

Is it necessary to put the potential component?

The answer is yes. Failure to recognize this is, I think, why this type of element was not recognized 25 years ago. The existance of a...

Forum: Main CFD Forum

January 22, 2011, 20:30

Replies: 7

Divergence free polynomials

Views: 3,149

Posted By Jonas Holdeman

Perhaps the simplest solenoidal vector element on...

Perhaps the simplest solenoidal vector element on a rectangle has 12 DOFs. At each corner node the DOFs are a stream function and two components of the velocity. For magnetics these would be the...

Forum: Main CFD Forum

January 22, 2011, 15:54

Replies: 7

Divergence free polynomials

Views: 3,149

Posted By Jonas Holdeman

The velocity elements I work with and described...

The velocity elements I work with and described in the papers are the curl of a stream function or vector potential element and hence are strictly divergence-free locally. In addition they have...

Forum: Main CFD Forum

January 22, 2011, 10:25

Replies: 7

Divergence free polynomials

Views: 3,149

Posted By Jonas Holdeman

You might want to look at two recent...

You might want to look at two recent publications:

[1] J. T. Holdeman. "A Hermite finite element method for incompressible fluid flow." Int. J. Numer. Meth. Fluids, 64:376-408 (2010)
[2] J. T....

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