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Note on helicity balance of the Galerkin method for the 3D Navier–Stokes equations

✍ Scribed by Maxim Olshanskii; Leo G. Rebholz

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
163 KB
Volume
199
Category
Article
ISSN
0045-7825

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✦ Synopsis

We study the helicity balance of the Galerkin method for the 3D Navier-Stokes equations, and show that although it does not appear to correctly balance helicity in the usual sense, it instead admits a slightly altered helicity balance that matches that of the underlying physics, up to boundary conditions.

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