Incompressible flows and the Boussinesq approximation: 50 years of CFD

Marcello Lappa

doi:10.5802/crmeca.134

Incompressible flows and the Boussinesq approximation: 50 years of CFD

Marcello Lappa ¹

¹ Department of Mechanical and Aerospace Engineering, University of Strathclyde, James Weir Building, 75 Montrose Street, Glasgow G1 1XJ, UK

Comptes Rendus. Mécanique, More than a half century of Computational Fluid Dynamics, Volume 350 (2022) no. S1, pp. 75-96.

Abstract

We offer a synthetic exposition on the state of the art for Computational Fluid Dynamics (CFD) relevant to the Navier–Stokes equations with the Boussinesq approximation, smoothly blending a history of the field with an accessible exposition of the underlying mathematical rationale, supporting theorems and a survey of the landmark results on the subject. Attention is paid to those efforts which have opened up new paradigms in modern CFD, the techniques that have emerged as leading candidates as well as their diverse reverberations in producing advancements in our understanding of thermal buoyancy convection (especially Rayleigh–Bénard convection and the so-called Hadley Flow) in both laminar and turbulent conditions.

Received: 2021-05-06
Revised: 2022-05-19
Accepted: 2022-09-08
Online First: 2022-10-11
Published online: 2024-11-05

DOI: 10.5802/crmeca.134

Mots-clés : CFD, Incompressible flow, Thermal convection, Boussinesq approximation, Primitive-variables methods, Vorticity methods

Author's affiliations:

Marcello Lappa ¹

¹ Department of Mechanical and Aerospace Engineering, University of Strathclyde, James Weir Building, 75 Montrose Street, Glasgow G1 1XJ, UK

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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Marcello Lappa. Incompressible flows and the Boussinesq approximation: 50 years of CFD. Comptes Rendus. Mécanique, More than a half century of Computational Fluid Dynamics, Volume 350 (2022) no. S1, pp. 75-96. doi : 10.5802/crmeca.134. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.134/

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