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Stabilization of the Navier-Stokes
Posted Apr 1, 2015, 3:56 p.m. EDT Fluid & Heat 0 Replies
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I've another question about the streamline stabilization of the Navier-Stokes equations.
Comsol's documentation says that it uses
G. Hauke and T.J.R. Hughes, “A Unified Approach to Compressible and
Incompressible Flows,” Comp. Meth. Appl. Mech. Engrg, vol. 113, pp. 389–395,
1994.
But looking at this paper, which is quite general (also for the compressible Navier-Stokes), I still have several specific questions, concerning the incompressible case.
1- To build the stabilized weak formulation, how is the incompressibility equation (div u =0) treated? Does it goes together with the momentum equation?
2- Is the stabilization term different when we set the viscosity to be variable (like the Carreau model)?
3- Does the stabilization changes when considering a nonlinear term (u .grad) u instead of the linear case ( w . grad)u, where w is known?
Please, if someone can give me some insight of how comsol handles this, I would be very thankful.
Hello Jorge Tiago
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