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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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.
Marqués, Francisco +2 more
core +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Oscillatory convection and limitations of the Boussinesq approximation [PDF]
We determine the asymptotic conditions under which the Boussinesq approximation is valid for oscillatory convection in a rapidly rotating fluid. In the astrophysically relevant parameter regime of small Prandtl number, we show that the Boussinesq ...
Wood TS, Bushby PJ
core +4 more sources
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
core +1 more source
A numerical investigation of high-Reynolds-number constant-volume non-Boussinesq density currents in deep ambient [PDF]
, 2011 The time-dependent behaviour of non-Boussinesq high-Reynolds-number density currents, released from a lock of height h0 and length x0 into a deep ambient and spreading over horizontal flat boundaries, is considered.
S. BALACHANDAR +6 more
core +1 more source
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
doaj