Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional perturbations

DOI10.1016/S0377-0257(00)00124-5zbMath0990.76047OpenAlexW1975183477MaRDI QIDQ1584856

R. Smith

Publication date: 14 August 2002

Published in: Journal of Non-Newtonian Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0257(00)00124-5

zbMATH Keywords

stabilityNewton's methodfourth-order Runge-Kutta methodeigenspectrumlinearized equations of motionDEVSS-G finite element discretizationdifferent time integration schemesmodified Stokes problemtheta-method operator-splitting schemetime-dependent constitutive equationtwo-dimensional steady viscoelastic flows

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10) Hydrodynamic stability (76E99)

Related Items (6)

Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. ⋮ Three-dimensional stability of a thin film between two approaching drops ⋮ Error estimates for a stabilized finite element method for the Oldroyd B model ⋮ Spectral element methods for transient viscoelastic flow problems ⋮ Anomalous pressure drop behaviour of mixed kinematics flows of viscoelastic polymer solutions: a multiscale simulation approach ⋮ Detecting instabilities in flows of viscoelastic fluids

Uses Software

• ARPACK

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