Numerical analysis of a FEM for a transient viscoelastic flow

DOI10.1016/0045-7825(94)00763-DzbMath0982.76526MaRDI QIDQ1578661

S. Wardi, Jacques Baranger

Publication date: 4 September 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

differential constitutive equationpressurevelocityviscoelastic flowsupwindingdiscontinuous Galerkin finite element methodNewtonian viscosityapproximate stressEuler implicit method in time

Mathematics Subject Classification ID

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

Related Items (16)

Unconditional error estimates for time dependent viscoelastic fluid flow ⋮ Convergence of a linearly extrapolated BDF2 finite element scheme for viscoelastic fluid flow ⋮ Error estimates for a stabilized finite element method for the Oldroyd B model ⋮ Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models ⋮ Two-level finite element approximation for Oseen viscoelastic fluid flow ⋮ Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow ⋮ A defect-correction method for time-dependent viscoelastic fluid flow based on SUPG formulation ⋮ Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow ⋮ Numerical simulations of shear-dependent viscoelastic flows with a combined finite element-finite volume method ⋮ Defect correction method for time-dependent viscoelastic fluid flow ⋮ Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow ⋮ Finite element analysis of fibre suspension flows ⋮ Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow ⋮ Approximation of time-dependent, multi-component, viscoelastic fluid flow ⋮ Unnamed Item ⋮ Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows

Cites Work

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• Numerical simulation of the flow of a viscoelastic fluid through an abrupt contraction
• The linear stability of numerical solutions of some elementary viscoelastic flows
• A new approach for the FEM simulation of viscoelastic flows
• Numerical instability of time-dependent flows
• Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Flows of viscoelastic fluids treated by the method of characteristics
• Existence results for the flow of viscoelastic fluids with a differential constitutive law
• A finite element procedure for viscoelastic flows

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