Robust stabilised finite element solvers for generalised Newtonian fluid flows
From MaRDI portal
Publication:2130994
DOI10.1016/j.jcp.2021.110436OpenAlexW3160533396MaRDI QIDQ2130994
Thomas-Peter Fries, Douglas R. Q. Pacheco, Richard Schussnig
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110436
Navier-Stokes equationsincompressible flowadaptive time-steppingstabilised finite elementsSchur complement preconditionergeneralised Newtonian fluid
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx)
Related Items
Reduced order modeling for parametrized generalized Newtonian fluid flows, An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions, Semi-implicit fluid-structure interaction in biomedical applications
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Fast iterative solvers for buoyancy driven flow problems
- Preconditioning strategies for models of incompressible flow
- A stabilized mixed finite element method for the incompressible shear-rate dependent non-Newtonian fluids: variational multiscale framework and consistent linearization
- Adaptive time step control for the incompressible Navier-Stokes equations
- Finite element approximations for quasi-Newtonian flows employing a multi-field GLS method
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- Fixed-point fluid-structure interaction solvers with dynamic relaxation
- Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows
- Pressure corrected implicit \(\theta \)-schemes for the incompressible Navier-Stokes equations
- Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations
- Finite element solution of diffusion problems with irregular data
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- A PI stepsize control for the numerical solution of ordinary differential equations
- Numerical simulation of shear-thinning flow problems in mixing vessels
- Efficient solvers for incompressible flow problems. An algorithmic and computational approach
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Numerical flow simulation for Bingham plastics in a single-screw extruder
- A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
- An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.
- Five ways of reducing the Crank-Nicolson oscillations
- HDG-NEFEM with degree adaptivity for Stokes flows
- On the influence of the wall shear stress vector form on hemodynamic indicators
- Stabilized stress-velocity-pressure finite element formulations of the Navier-Stokes problem for fluids with non-linear viscosity
- Modified Navier-Stokes equations for the outflow boundary conditions in hemodynamics
- A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows
- Adaptive time-step control for nonlinear fluid-structure interaction
- The deal.II library, version 9.0
- A posteriori error estimation for the fractional step theta discretization of the incompressible Navier-Stokes equations
- Preconditioning techniques for large linear systems: A survey
- Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
- A boundary integral modification of the Galerkin least squares formulation for the Stokes problem
- Sensitivity of hemodynamics in a patient specific cerebral aneurysm to vascular geometry and blood rheology
- A better consistency for low-order stabilized finite element methods
- Shear rate projection schemes for non-Newtonian fluids
- Finite element simulation of complex dense granular flows using a well-posed regularization of the \(\mu(I)\)-rheology
- Boundary-conforming finite element methods for twin-screw extruders using spline-based parameterization techniques
- An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions
- Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
- Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar `Hemodynamical flows: Aspects of modeling, analysis and simulation', Oberwolfach, Germany, November 20--26, 2005.
- A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations
- Edge stabilization for the generalized Stokes problem: a continuous interior penalty method
- A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows
- Weakly-imposed Dirichlet boundary conditions for non-Newtonian fluid flow
- Viscosity effects on flows of generalized Newtonian fluids through curved pipes
- Biology and mechanics of blood flows. Part I: Biology
- Towards a complete numerical description of lubricant film dynamics in ball bearings
- A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
- Finite Element Methods for Incompressible Flow Problems
- Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: strongly monotone quasi-Newtonian flows
- Finite Elements and Fast Iterative Solvers
- On the quadratic convergence of the Aitken Δ2 process
- Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations
- Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations
- A fully explicit characteristic based split(CBS) scheme for viscoelastic flow calculations
- Numerical approximation of Quasi-Newtonian flows by ALE-FEM
- SIMPLE-type preconditioners for the Oseen problem
- On Preconditioning of Incompressible Non-Newtonian Flow Problems
- On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder
- A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains
- Numerical solution of saddle point problems
- Two preconditioners for saddle point problems in fluid flows
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- A comparison of preconditioners for incompressible Navier-Stokes solvers
- Non‐Newtonian flow in branched pipes and artery models
- Least Squares Preconditioners for Stabilized Discretizations of the Navier–Stokes Equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Performance of iterative methods for Newtonian and generalized Newtonian flows
- Some fast 3D finite element solvers for the generalized Stokes problem
- On the smoothing property of the crank-nicolson scheme
- A Taylor—Galerkin finite element method for non‐Newtonian flows
- Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations
- The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces
- The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
- An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations
- A stabilized finite element method for the Stokes problem based on polynomial pressure projections
- A Preconditioner for the Steady-State Navier--Stokes Equations
- Time‐dependent finite element simulations of a shear‐thinning viscoelastic fluid with application to blood flow
- Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization
- Monolithic Newton‐multigrid solution techniques for incompressible nonlinear flow models
- Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion
- A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations
- On steady flows of fluids with pressure– and shear–dependent viscosities
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- Block Preconditioners Based on Approximate Commutators
- On smoothing and extrapolation for the trapezoidal rule
- A version of the Aitken accelerator for computer iteration
- ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
- A COMPARATIVE STUDY OF TIME-STEPPING TECHNIQUES FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: FROM FULLY IMPLICIT NON-LINEAR SCHEMES TO SEMI-IMPLICIT PROJECTION METHODS
- Finite Elements
- Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
