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

作者：Olshanskii Maxim; Rebholz Leo G^*

来源：Computer Methods in Applied Mechanics and Engineering, 2010, 199(17-20): 1032-1035.

DOI：10.1016/j.cma.2009.11.015

• Navier-Stokes equations
• Galerkin method
• Helicity conservation

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.

• 出版日期2010