A New Conserved Energy for Incompressible Navier-Stokes Equations

Manuel García-Casado

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arXiv · 1012.2259

A New Conserved Energy for Incompressible Navier-Stokes Equations

Manuel García-Casado

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Abstract

Pressure conditions in incompressible Navier-Stokes equations give rise to conservation of total energy. The energy rate getting into a volume is the same energy rate that gets out from it. Suitable choice of pressure counteracts energy disipation of viscosity term in such a way that total energy is preserved. As consequence, this prevents kinetic energy blow-up in a given volume of the fluid.

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Manuel García-Casado. 2010-12-10. A New Conserved Energy for Incompressible Navier-Stokes Equations. https://arxiv.org/abs/1012.2259

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