A Hermite finite element method for incompressible fluid flow | Zendy

Holdeman J. T. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

A Hermite finite element method for incompressible fluid flow

Author(s) -

Holdeman J. T.

Publication year - 2009

Publication title -

international journal for numerical methods in fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.938

H-Index - 112

eISSN - 1097-0363

pISSN - 0271-2091

DOI - 10.1002/fld.2154

Subject(s) - stream function , pointwise , divergence (linguistics) , mathematics , finite element method , flow (mathematics) , hermite polynomials , incompressible flow , compressibility , pressure correction method , function (biology) , computation , mathematical analysis , flow velocity , velocity potential , geometry , physics , mechanics , vorticity , vortex , algorithm , linguistics , philosophy , evolutionary biology , biology , thermodynamics , boundary value problem

We describe some Hermite stream function and velocity finite elements and a divergence‐free finite element method for the computation of incompressible flow. Divergence‐free velocity bases defined on (but not limited to) rectangles are presented, which produce pointwise divergence‐free flow fields (∇· u h ≡0). The discrete velocity satisfies a flow equation that does not involve pressure. The pressure can be recovered as a function of the velocity if needed. The method is formulated in primitive variables and applied to the stationary lid‐driven cavity and backward‐facing step test problems. Copyright © 2009 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research