On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity
DOI10.1016/j.camwa.2023.05.015arXiv2111.14273MaRDI QIDQ6104896
Verónica Anaya, Rubén Caraballo, Héctor Torres, Ricardo Ruiz-Baier
Publication date: 28 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.14273
Navier-Stokes equationsmixed finite elementsvorticity formulationa priori error analysisvariable viscosity
Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Unnamed Item
- Unnamed Item
- A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem
- On the parameter choice in grad-div stabilization for the Stokes equations
- Assessment of a vorticity based solver for the Navier-Stokes equations
- On the velocity-vorticity-pressure least-squares finite element method for the stationary incompressible Oseen problem
- An error analysis of least-squares finite element method of velocity- pressure-vorticity formulation for Stokes problem
- On the accuracy of the rotation form in simulations of the Navier-Stokes equations
- Numerical stabilization of the Stokes problem in vorticity-velocity-pressure formulation
- A stable finite element for the Stokes equations
- A numerical solution of the Navier-Stokes equations using the finite element technique
- First vorticity-velocity-pressure numerical scheme for the Stokes problem.
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Finite element methods for Darcy's problem coupled with the heat equation
- Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier-Stokes equations
- A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem
- Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
- Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations
- Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
- Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations
- Spectral discretization of the Navier-Stokes problem with mixed boundary conditions
- An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations
- Spectral element discretization of the vorticity,velocity and pressure formulation of the Navier-Stokes problem
- Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations
- Navier--Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem
- An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions
- Stabilized finite element method for Navier--Stokes equations with physical boundary conditions
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- VORTICITY–VELOCITY FORMULATION OF THE STOKES PROBLEM WITH VARIABLE DENSITY AND VISCOSITY
- STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS
- Three-Dimensional Finite Element Methods for the Stokes Problem
- Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
- On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations
- Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
- Vorticity-velocity-pressure formulation for Stokes problem
- Mixed Finite Element Methods and Applications
- Low-order finite element method for the well-posed bidimensional Stokes problem
- Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity
- A Mixed Formulation for the Brinkman Problem
- Spectral Discretization of the Vorticity, Velocity, and Pressure Formulation of the Stokes Problem
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