Time-dependent solution for natural convection in a porous enclosure using the Darcy-Lapwood-Brinkman model

DOI10.1016/j.matcom.2020.10.012OpenAlexW3097628299MaRDI QIDQ1998352

Ali Zakeri, Fahs Amin, Adrien Wanko

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.10.012

zbMATH Keywords

natural convectiontransient flowsaturated porous mediaDarcy-Lapwood-Brinkman modelFourier-Galerkin methodunsteadyflow

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (1)

Proper generalized decomposition using Taylor expansion for non-linear diffusion equations

Uses Software

• MEBDF
• DASPK 3.0
• A-EBDF

Cites Work

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• Numerical simulation of thermal and concentration natural convection in a porous cavity in the presence of an opposing flow
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• Software and algorithms for sensitivity analysis of large-scale differential algebraic systems
• Single-phase flow through porous channels. II: Flow models, critical length, and viscous separation
• Homogenization of the Darcy-Lapwood-Brinkman flow in a thin domain with highly oscillating boundaries
• Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field
• Implementing Spectral Methods for Partial Differential Equations
• A-BDF: A Generalization of the Backward Differentiation Formulae
• Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
• Spectral discretization of Darcy's equations coupled with the heat equation
• Convection in Porous Media
• Spectral Methods

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