A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem

DOI10.1016/j.camwa.2020.08.017zbMath1451.76068OpenAlexW3084051772MaRDI QIDQ2210617

Ricardo Oyarzúa, Nathalie Valenzuela, Gabriel N. Gatica

Publication date: 7 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.08.017

zbMATH Keywords

convergenceLagrange multiplierwell-posednessRaviart-Thomas elementtransmission conditionpseudostress tensor

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces ⋮ On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity ⋮ Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity

Uses Software

• UMFPACK
• FreeFem++

Cites Work

• Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media
• A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem
• On the solution of the coupled Navier-Stokes and Darcy equations
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
• Numerical analysis of the Navier-Stokes/Darcy coupling
• Mathematical and numerical models for coupling surface and groundwater flows
• Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics
• A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity
• New fully-mixed finite element methods for the Stokes-Darcy coupling
• An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity
• A Simple Introduction to the Mixed Finite Element Method
• A twofold saddle point approach for the coupling of fluid flow with nonlinear porous media flow
• A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body
• Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
• Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
• On the Boundary Condition at the Surface of a Porous Medium
• Finite elements in computational electromagnetism
• Numerical analysis for the mixed <scp>N</scp>avier–<scp>S</scp>tokes and <scp>D</scp>arcy Problem with the <scp>B</scp>eavers–<scp>J</scp>oseph interface condition
• DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
• A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions
• New development in freefem++
• Strong coupling of finite element methods for the Stokes-Darcy problem
• Analysis of the HDG method for the stokes–darcy coupling
• A stabilized mixed finite element method for Darcy–Stokes flow
• An augmented stress‐based mixed finite element method for the steady state Navier‐Stokes equations with nonlinear viscosity
• Algorithm 832

This page was built for publication: A five-field augmented fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem