A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations-Reference-Cited by-同舟云学术

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A fully‐mixed finite element method for the coupling of the Navier–Stokes and Darcy–Forchheimer equations

Published:2021-01-26 Issue:3 Volume:37 Page:2550-2587
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Caucao Sergio¹²,Gatica Gabriel N.³^ORCID,Sandoval Felipe³

Affiliation:

1. Centro de Investigación en Ingeniería Matemática (CI²MA) Universidad de Concepción Concepción Chile

2. Departamento de Matemática y Fisica Aplicadas Universidad Catolica de la Santisima Concepción, Casilla 297 Concepción Chile

3. CI²MA and Departamento de Ingeniería Matemática Universidad de Concepción Concepción Chile

Funder

Comisión Nacional de Investigación Científica y Tecnológica

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22745

Reference34 articles.

1. Homogenization of a Darcy–Stokes system modeling vuggy porous media

2. Modelling of combined Navier–Stokes and Darcy flows in crossflow membrane filtration

3. A Model of Fluid Flow in Solid Tumors

4. A sweating model for the internal ventilation of a motorcycle helmet

5. Navier–Stokes/Forchheimer models for filtration through porous media

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1. Analysis of Weak Galerkin Mixed Finite Element Method Based on the Velocity–Pseudostress Formulation for Navier–Stokes Equation on Polygonal Meshes;Journal of Scientific Computing;2024-08-22

2. A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity;Applied Numerical Mathematics;2024-07

3. New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability;Results in Applied Mathematics;2024-02

4. The Well-Posedness and Discontinuous Galerkin Approximation for the Non-Newtonian Stokes–Darcy–Forchheimer Coupling System;Journal of Scientific Computing;2023-09-15

5. Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regions;Numerical Algorithms;2022-08-08

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