Incompressible flows and the Boussinesq approximation: 50 years of CFD
Comptes Rendus. Mécanique, 2022 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 ...
Lappa, Marcello
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Case Studies in Thermal Engineering, 2021 Numerical simulations are performed for the mixed convective transport in an inclined open arc-shaped channel filled by isotropic porous media using nanofluids.
Sameh E. Ahmed +2 more
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The Boussinesq approximation in rapidly rotating flows [PDF]
, 2013 In commonly used formulations of the Boussinesq approximation centrifugal buoyancy effects related to differential rotation, as well as strong vortices in the flow, are neglected.
López-Alonso, José Manuel +3 more
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Numerical Comparative Study of Compressible and Incompressible Models for Predicting Combined Natural Convection and Radiation in Participating Medium [PDF]
Journal of Applied Fluid MechanicsNatural convection coupled with volumetric radiation governs heat transfer in high-temperature systems, yet modeling relies heavily on the Boussinesq approximation, limited to weak density variations.
N. Rachedi, M. Guellal, M. Bouafia
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Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System
Science Journal of University of Zakho, 2019 The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM).
Saad A. Manaa, Nergiz M. Mosa
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Capturing the baroclinic effect in non-Boussinesq gravity currents
Theoretical and Applied Mechanics Letters, 2022 Direct numerical simulations of two-dimensional gravity currents with small and medium density variations are performed using different non-Boussinesq buoyancy approximations.
Shengqi Zhang, Zhenhua Xia
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Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions [PDF]
, 2005 There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large ...
Catherine Weisman +22 more
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Analysis of optimal boundary control of the Boussinesq approximation [PDF]
, 2022 This preprint is a revised version of Preprint 38-2007.In the present paper we complement a recent applied work with presenting the analytical framework for general optimal boundary control problems of the Boussinesq approximation.
Bärwolff, Günter, Hinze, Michael
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The Miles Theorem and New Particular Solutions to the Taylor--Goldstein Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The linear stability problem of steady-state plane-parallel shear flows of a continuously stratified inviscid incompressible fluid in the gravity field between two immovable impermeable solid planes is studied in and without the Boussinesq approximation.
A.A. Gavrilieva +2 more
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Solvability of the Boussinesq Approximation for Water Polymer Solutions
Mathematics, 2019 We consider nonlinear Boussinesq-type equations that model the heat transfer and steady viscous flows of weakly concentrated water solutions of polymers in a bounded three-dimensional domain with a heat source.
Mikhail A. Artemov +1 more
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