Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation
From MaRDI portal
Publication:5217604
DOI10.1137/19M125738XzbMath1434.76065arXiv1904.09136OpenAlexW3007411243MaRDI QIDQ5217604
No author found.
Publication date: 25 February 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09136
Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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
A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow, An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids, Weak-strong uniqueness for heat conducting non-Newtonian incompressible fluids, On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary, Analysis of a stabilised finite element method for power-law fluids, An Augmented Lagrangian Preconditioner for Implicitly Constituted Non-Newtonian Incompressible Flow, On nonlinear problems of parabolic type with implicit constitutive equations involving flux, Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids
Uses Software
Cites Work
- Degenerate parabolic equations
- Automated solution of differential equations by the finite element method. The FEniCS book
- On implicit constitutive theories.
- On the thermodynamics of fluids defined by implicit constitutive relations
- Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times
- Compact sets in the space \(L^ p(0,T;B)\)
- An optimal three-field finite element approximation of the Stokes system with continuous extra stresses
- Finite stopping time problems and rheometry of Bingham fluids
- Transient displacement of a viscoplastic material by air in straight and suddenly constricted tubes.
- On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions
- A posteriori estimators for mixed finite element approximations of a fluid obeying the power law
- Mixed finite elements for elasticity
- Approximation of the \(p\)-Stokes equations with equal-order finite elements
- Dual-mixed finite element approximation of Stokes and nonlinear Stokes problems using trace-free velocity gradients
- Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
- The elasticity of elasticity
- Parabolic Lipschitz truncation and caloric approximation
- Analysis of non-singular solutions of a mixed Navier-Stokes formulation
- A quasi-local interpolation operator preserving the discrete divergence
- Entry flows of Bingham plastics in expansions
- A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem
- Composing Scalable Nonlinear Algebraic Solvers
- Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
- Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology
- Conforming and divergence-free Stokes elements on general triangular meshes
- SOLENOIDAL LIPSCHITZ TRUNCATION FOR PARABOLIC PDEs
- On the Finite Element Approximation ofp-Stokes Systems
- Conforming and divergence-free Stokes elements in three dimensions
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A New Mixed Finite Element for the Stokes and Elasticity Problems
- On Unsteady Flows of Implicitly Constituted Incompressible Fluids
- Firedrake
- Existence of weak solutions for unsteady motions of generalized Newtonian fluids
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Finite Element Methods for Navier-Stokes Equations
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- PEERS: A new mixed finite element for plane elasticity
- Flows of Materials with Yield
- Mixed and Hybrid Finite Element Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- On the Full Space-Time Discretization of the Generalized Stokes Equations: The Dirichlet Case
- A new family of stable mixed finite elements for the 3D Stokes equations
- PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
- Finite element methods for the three-field Stokes system in $\mathbb {R}^3$ : Galerkin methods
- Mixed Finite Element Methods and Applications
- Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids
- On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion
- Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids
- Dual-mixed finite element methods for the Navier-Stokes equations
- On steady flows of incompressible fluids with implicit power-law-like rheology
- A priori and a posteriori error estimations for the dual mixed finite element method of the Navier‐Stokes problem
- A refined mixed finite-element method for the stationary Navier Stokes equations with mixed boundary conditions
- Algorithm 832
- On implicit constitutive theories for fluids
- Nonlinear partial differential equations with applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
