Numerical Analysis of a Darcy-Forchheimer Model Coupled with the Heat Equation

Numerical Analysis of a Darcy-Forchheimer Model Coupled with the Heat Equation

This paper discusses a novel three field formulation for the Darcy-Forchheimer flow with a nonlinear viscosity depending on the temperature coupled with the heat equation. We show unique solvability of the variational problem by using; Galerkin method, Brouwer’s fixed point and some compactness prop...

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Bibliographic Details
Main Authors: Deugoue, G. (Author), Djoko, J.K (Author), Konlack, V.S (Author), Mbehou, M. (Author)
Format: Article
Language:English
Published: Springer 2022
Subjects:
Darcy-Forchheimer equation
Darcy-Forchheimer equations
Field formulation
Finite element
Finite element method
Fixed points
Flow of fluids
Forchheimer
Forchheimer models
Galerkin methods
Heat equation
Heat transfer
Nonlinear equations
Nonlinear viscosity
Partial differential equations
Property
Variational problems
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