How accurate is your solution? Error indicators for viscoelastic flow calculations

DOI10.1016/S0377-0257(00)00158-0zbMath1012.76066OpenAlexW2114788297MaRDI QIDQ5926076

Cédric Chauvière, Robert G. Owens

Publication date: 19 June 2003

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)00158-0

zbMATH Keywords

differential constitutive equationelastic stresseserror indicatorslocal elemental residualOldroyd-B fluidspectral element methodsphere in tubestress cell errorviscoelastic fluids

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Viscoelastic fluids (76A10) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items (12)

Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. ⋮ Confined drop motion in viscoelastic two-phase systems ⋮ Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem ⋮ Hybrid lattice Boltzmann/finite difference simulations of viscoelastic multicomponent flows in confined geometries ⋮ A finite volume formulation for simulating drop motion in a viscoelastic two-phase system ⋮ Lattice Boltzmann method for the simulation of viscoelastic fluid flows ⋮ Stress boundary layers in the viscoelastic flow past a cylinder in a channel: limiting solutions ⋮ A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model. ⋮ A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral elements ⋮ A new spectral element method for the reliable computation of viscoelastic flow ⋮ Detecting instabilities in flows of viscoelastic fluids ⋮ A first error indicator for micro-macro simulations of viscoelastic fluids having closed-form constitutive equations

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