A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations

DOI10.1016/j.cma.2022.115829OpenAlexW4311128839MaRDI QIDQ2678541

Ivan Yotov, Sergio Caucao, Rubén Caraballo, Verónica Anaya, Luis F. Gatica, Ricardo Ruiz-Baier

Publication date: 23 January 2023

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.2022.115829

zbMATH Keywords

mixed finite element methodsvelocity-vorticity-pressure formulationunsteady Brinkman-Forchheimer equations

Mathematics Subject Classification ID

Uses Software

• FreeFem++
• MUMPS
• FEniCS

Cites Work

• Unnamed Item
• Unnamed Item
• On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics
• A numerical solution of the Navier-Stokes equations using the finite element technique
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model
• Theory and practice of finite elements.
• A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem
• A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations
• Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions
• Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
• Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
• A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations.
• On continuous dependence on coefficients of the Brinkman-Forchheimer equations
• A Simple Introduction to the Mixed Finite Element Method
• Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
• A numerical study of fluids with pressure-dependent viscosity flowing through a rigid porous medium
• An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Finite Element Approximation of the p-Laplacian
• STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS
• Approximation of the unsteady Brinkman‐Forchheimer equations by the pressure stabilization method
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Vorticity-velocity formulation of the 3D Navier-Stokes equations in cylindrical co-ordinates
• Mixed Finite Element Methods and Applications
• New development in freefem++
• A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
• A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
• A Banach space mixed formulation for the unsteady Brinkman–Forchheimer equations
• Crouzeix-Raviart triangular elements are inf-sup stable

This page was built for publication: A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations