Solution of transient viscoelastic flow problems approximated by a term-by-term VMS stabilized finite element formulation using time-dependent subgrid-scales

DOI10.1016/j.cma.2020.113074zbMath1442.76068OpenAlexW3027748184MaRDI QIDQ2186848

Ramon Codina, Joan Baiges, Laura Moreno

Publication date: 10 June 2020

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

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113074

zbMATH Keywords

Oldroyd-B fluidviscoelastic fluidsstabilized finite element methodslog-conformationvariational multiscaledynamic sub-grid scales

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

Time dependent subgrid multiscale stabilized finite element analysis of fully coupled transient <scp>Navier–Stokes</scp>‐transport model ⋮ Numerical simulation of fluid-structure interaction problems with viscoelastic fluids using a log-conformation reformulation ⋮ Artificial neural network based correction for reduced order models in computational fluid mechanics ⋮ A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales ⋮ Modeling of multi-phase, multi-fluid flows with applications to marine hydrokinetic turbines ⋮ Variational multiscale stabilized finite element analysis of non-Newtonian Casson fluid flow model fully coupled with transport equation with variable diffusion coefficients ⋮ Numerical study of the use of residual- and non-residual-based stabilized VMS formulations for incompressible power-law fluids ⋮ Simplified subgrid multiscale stabilized finite element method in the transient framework for Stokes equations

Cites Work

• On inf--sup stabilized finite element methods for transient problems
• First, second and third order fractional step methods for the three-field viscoelastic flow problem
• Simulation for high Weissenberg number: Viscoelastic flow by a finite element method
• Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
• The variational multiscale method -- a paradigm for computational mechanics
• A term by term stabilization algorithm for finite element solution of incompressible flow problems
• Finite element approximation of the viscoelastic flow problem: a non-residual based stabilized formulation
• Stabilized stress-velocity-pressure finite element formulations of the Navier-Stokes problem for fluids with non-linear viscosity
• Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem
• Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows
• Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
• Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
• Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation
• Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier-Stokes problem
• Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
• Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
• Constitutive laws for the matrix-logarithm of the conformation tensor
• On stabilized finite element methods for the Stokes problem in the small time step limit
• Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
• A stabilized finite element method for generalized stationary incompressible flows

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