Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations

2020/12/29 by In‐Jee Jeong, Jeong, In-Jee, Tsuyoshi Yoneda +1 · 2 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.2012.14621

Abstract

We consider the 3D incompressible Navier-Stokes equations under the following 2+(1)/(2)-dimensional situation: vertical vortex blob (quasi-streamwise vortices) being stretched by two-dimensional shear flow. We prove enhanced dissipation induced by such quasi-streamwise vortices.

Cited by

• Wave dynamics governing vortex breakdown in smooth Euler flows
• Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

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