A unified time discontinuous Galerkin space-time finite element scheme for non-Newtonian power law models

Publication date: 14 May 2024

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

zbMATH Keywords

non-Newtonian shear thinning flows numerical solutions for channel flow problems power law Navier-Stokes models space-time unified formulations stabilized space-time finite element discretizations time discontinuous Galerkin discretizations

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Mechanics and mathematics of fluids of the differential type
Arbitrary dimension convection-diffusion schemes for space-time discretizations
Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by \(p\)-Navier-Stokes equations
Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6--8, 2013
Space-time finite element methods for parabolic problems
Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids.
Mathematical aspects of discontinuous Galerkin methods.
A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
On approximation of non-Newtonian fluid flow by the finite element method
Cardiovascular mathematics. Modeling and simulation of the circulatory system
Convergence of a time discretization for a class of non-Newtonian fluid flow
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Numerical instability of time-dependent flows
Efficient solvers for incompressible flow problems. An algorithmic and computational approach
Linear stability and dynamics of viscoelastic flows using time-dependent numerical simulations
Linear stability analysis of time-dependent algorithms with spectral element methods for the simulation of viscoelastic flows
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems
Constricted channel flow with different cross-section shapes
Space-time finite element methods for elastodynamics: Formulations and error estimates
Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources
Space-time isogeometric analysis of parabolic evolution problems
Space-time methods. Applications to partial differential equations
Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients
Revisiting stabilized finite element methods for the advective-diffusive equation
Space-time computations in practical engineering applications: a summary of the 25-year history
Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations
Finite element formulation of general boundary conditions for incompressible flows
Finite element approximation of singular power-law systems
Steady-state convection-diffusion problems
Semi‐implicit Euler Scheme for Generalized Newtonian Fluids
Optimal Error Estimates for a Semi-Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities
Steady inlet flow in stenotic geometries: convective and absolute instabilities
Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
Stabilized Finite Element Formulations for Incompressible Flow Computations
Space‐time oriented streamline diffusion methods for non‐linear conservation laws in one dimension
Effective downstream boundary conditions for incompressible Navier–Stokes equations
Higher-order finite element discretizations in a benchmark problem for incompressible flows
High-Order Methods for Incompressible Fluid Flow
Numerical Solutions of Quasilinear Parabolic Problems by a Continuous Space-Time Finite Element Scheme
Space-time finite element methods stabilized using bubble function spaces
Space-Time Multipatch Discontinuous Galerkin Isogeometric Analysis for Parabolic Evolution Problems
Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques
Wake behaviour and instability of flow through a partially blocked channel
Galerkin Finite Element Methods for Parabolic Problems
New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
Numerical Methods for Power-Law Diffusion Problems
Applications of time parallelization

This page was built for publication: A unified time discontinuous Galerkin space-time finite element scheme for non-Newtonian power law models