Search results for " Regularizing viscosity."

showing 2 items of 2 documents

Singularity formation and separation phenomena in boundary layer theory

2009

In this paper we review some results concerning the behaviour of the incompressible Navier–Stokes solutions in the zero viscosity limit. Most of the emphasis is put on the phenomena occurring in the boundary layer created when the no-slip condition is imposed. Numerical simulations are used to explore the limits of the theory. We also consider the case of 2D vortex layers, i.e. flows with internal layers in the form of a rapid variation, across a curve, of the tangential velocity.

Prandtl's equations Separation Spectral Methods Complex singularities Blow up time Regularizing viscosityBoundary layerClassical mechanicsSingularityDynamical systems theoryGeometric mechanicsDifferential equationComputational mechanicsFluid mechanicsSettore MAT/07 - Fisica MatematicaBoundary element methodMathematicsMathematical physics
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Singularities for Prandtl's equations.

2006

We used a mixed spectral/finite-difference numerical method to investigate the possibility of a finite time blow-up of the solutions of Prandtl's equations for the case of the impulsively started cylinder. Our toll is the complex singularity tracking method. We show that a cubic root singularity seems to develop, in a time that can be made arbitrarily short, from a class of data uniformely bounded in H^1.

Prandtl’s equations Separation Spectral methods Complex singularities Blow–up time Regularizing viscosity.Settore MAT/07 - Fisica Matematica
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