CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Wiki > Viscous diffusion of multiple vortex system

Viscous diffusion of multiple vortex system

From CFD-Wiki

Revision as of 07:40, 12 April 2007 by Jola (Talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

The following analytical solution satisfies the viscous, incompressible continuity and momentum equations in dimension-less form in the domain 0
\le x, y \le 2\pi. The solution is periodic in both x and y coordinates.


u(x,y,t) = -(\cos x \sin y) e^{-2t/Re}

v(x,y,t) =  (\sin x \cos y) e^{-2t/Re}

p(x,y,t) = -0.25( \cos 2x + \cos 2y) e^{-4t/Re}

where u,v are the Cartesian velocity components, p is the pressure and Re is the Reynolds number.

My wiki