Incompressible flows and the Boussinesq approximation: 50 years of CFD
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 theore...
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| Language: | English |
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Académie des sciences
2022-10-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.134/ |
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| author | Lappa, Marcello |
| author_facet | Lappa, Marcello |
| author_sort | Lappa, Marcello |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-db345144f8e34f4ba75ba5bde82d9145 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2022-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-db345144f8e34f4ba75ba5bde82d91452025-02-07T13:45:36ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342022-10-01350S1759610.5802/crmeca.13410.5802/crmeca.134Incompressible flows and the Boussinesq approximation: 50 years of CFDLappa, Marcello0https://orcid.org/0000-0002-0835-3420Department of Mechanical and Aerospace Engineering, University of Strathclyde, James Weir Building, 75 Montrose Street, Glasgow G1 1XJ, UKWe 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.134/CFDIncompressible flowThermal convectionBoussinesq approximationPrimitive-variables methodsVorticity methods |
| spellingShingle | Lappa, Marcello Incompressible flows and the Boussinesq approximation: 50 years of CFD Comptes Rendus. Mécanique CFD Incompressible flow Thermal convection Boussinesq approximation Primitive-variables methods Vorticity methods |
| title | Incompressible flows and the Boussinesq approximation: 50 years of CFD |
| title_full | Incompressible flows and the Boussinesq approximation: 50 years of CFD |
| title_fullStr | Incompressible flows and the Boussinesq approximation: 50 years of CFD |
| title_full_unstemmed | Incompressible flows and the Boussinesq approximation: 50 years of CFD |
| title_short | Incompressible flows and the Boussinesq approximation: 50 years of CFD |
| title_sort | incompressible flows and the boussinesq approximation 50 years of cfd |
| topic | CFD Incompressible flow Thermal convection Boussinesq approximation Primitive-variables methods Vorticity methods |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.134/ |
| work_keys_str_mv | AT lappamarcello incompressibleflowsandtheboussinesqapproximation50yearsofcfd |