Search results for "Boundary layer separation"

showing 2 items of 2 documents

Singularity tracking for Camassa-Holm and Prandtl's equations

2006

In this paper we consider the phenomenon of singularity formation for the Camassa-Holm equation and for Prandtl's equations. We solve these equations using spectral methods. Then we track the singularity in the complex plane estimating the rate of decay of the Fourier spectrum. This method allows us to follow the process of the singularity formation as the singularity approaches the real axis.

Essential singularityNumerical AnalysisCamassa–Holm equationApplied MathematicsComplex singularitieMathematical analysisPrandtl numberPrandtl’s equationsSingularity functionPrandtl–Glauert transformationComputational Mathematicssymbols.namesakeSpectral analysiSingularitysymbolsCamassa–Holm equationSpectral methodComplex planeMathematicsBoundary layer separation
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Analysis of complex singularities in high-Reynolds-number Navier-Stokes solutions

2013

AbstractNumerical solutions of the laminar Prandtl boundary-layer and Navier–Stokes equations are considered for the case of the two-dimensional uniform flow past an impulsively-started circular cylinder. The various viscous–inviscid interactions that occur during the unsteady separation process are investigated by applying complex singularity analysis to the wall shear and streamwise velocity component of the two solutions. This is carried out using two different methodologies, namely a singularity-tracking method and the Padé approximation. It is shown how the van Dommelen and Shen singularity that occurs in solutions of the Prandtl boundary-layer equations evolves in the complex plane be…

Prandtl numberMathematics::Analysis of PDEsFOS: Physical sciencesPhysics::Fluid Dynamicssymbols.namesakeFlow separationSingularityboundary layer separation Navier–Stokes equations transition to turbulenceFOS: MathematicsMathematics - Numerical AnalysisComplex Variables (math.CV)Navier–Stokes equationsSettore MAT/07 - Fisica MatematicaMathematical PhysicsPhysicsMathematics - Complex VariablesMechanical EngineeringMathematical analysisFluid Dynamics (physics.flu-dyn)Reynolds numberLaminar flowPhysics - Fluid DynamicsMathematical Physics (math-ph)Numerical Analysis (math.NA)Condensed Matter PhysicsMechanics of MaterialssymbolsGravitational singularityPotential flow
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