Time-dependent numerical simulation of viscoelastic flow and stability

DOI10.1007/BF00311811zbMath0783.76050OpenAlexW2061133535MaRDI QIDQ1310071

Ch. Bodart, M. J. Crochet

Publication date: 2 January 1994

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00311811

zbMATH Keywords

time steppredictor-correctorfour-to-one contractionfully implicit techniqueOldroyd-\(B\) fluidpressure impulse

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (3)

Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. ⋮ Decoupled transient schemes for viscoelastic fluid flow with inertia ⋮ Decoupled second-order transient schemes for the flow of viscoelastic fluids without a viscous solvent contribution

Cites Work

• Finite element calculation of time-dependent two-dimensional viscoelastic flow with the explicitly elliptic momentum equation formulation
• A finite element procedure coupled with the method of characteristics for simulation of viscoelastic fluid flow
• On the consequence of discretization errors in the numerical calculation of viscoelastic flow
• The linear stability of numerical solutions of some elementary viscoelastic flows
• A new mixed finite element for calculating viscoelastic flow
• Finite element Eulerian-Lagrangian method for time dependent flow of multimode fluids
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• The consistent streamline-upwind/Petrov-Galerkin method for viscoelastic flow revisited
• On the numerical simulation of axisymmetric swirling flows of differential viscoelastic liquids: The rod climbing effect and the Quelleffekt
• Finite elements for viscoelastic flows with change of type
• Numerical calculations of two-cell and single-cell Taylor flows
• A finite element procedure for viscoelastic flows
• Analysis of the Constant Rate Startup Flow of a Viscoelastic Fluid in Annular, Cylindrical, and Planar Conduits

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