Results 11 to 20 of about 576,001 (212)

On the Use and Misuse of the Oberbeck–Boussinesq Approximation [PDF]

open access: yesPhysics, 2023
The Oberbeck–Boussinesq approximation is the most commonly employed theoretical scheme for the study of natural or mixed convection flows. However, the misunderstanding of this approximated framework is a possibility that may cause the emergence of ...
Antonio Barletta   +2 more
doaj   +6 more sources

Incorporating velocity shear into the magneto-Boussinesq approximation [PDF]

open access: yesGeophysical and Astrophysical Fluid Dynamics, 2014
14 pages, 0 figures.
Evy Kersalé, David Hughes
exaly   +6 more sources

The Boussinesq approximation for buoyant flows [PDF]

open access: yesMechanics Research Communications, 2022
The aim of this communication is to present a simplified, yet rigorous, deduction of the Boussinesq approximated governing equations for buoyant flows. In order to carry out the core deduction procedure, a simplified version of the manifold asymptotic analyses available in the literature is discussed. The method adopted in this study is focussed on the
Antonio Barletta
exaly   +5 more sources

Beyond the Oberbeck–Boussinesq and long wavelength approximation [PDF]

open access: yesNuclear Fusion, 2022
We present the first simulations of a reduced magnetized plasma model that incorporates both arbitrary wavelength polarization and non-Oberbeck–Boussinesq effects.
M. Held, M. Wiesenberger
doaj   +5 more sources

The Oberbeck–Boussinesq approximation in critical spaces [PDF]

open access: yesAsymptotic Analysis, 2013
In this paper we study the validity of the so-called Oberbeck–Boussinesq approximation for compressible viscous perfect gases in the whole three-dimensional space. Both the cases of fluids with positive heat conductivity and zero conductivity are considered.
Danchin, Raphaël, He, Lingbing
core   +7 more sources

A Numerical Method for Extended Boussinesq Shallow-Water Wave Equations [PDF]

open access: yes, 1999
The accurate numerical simulation of wave disturbance within harbours requires consideration of both nonlinear and dispersive wave processes in order to capture such physical effects as wave refraction and diffraction, and nonlinear wave interactions ...
Walkley, Mark Andrew
core   +7 more sources

Rational derivation of the Boussinesq approximation

open access: yes, 2019
This note derives the Boussinesq approximation in a manner consistent with the conservation law of mass. It is shown that the governing equations of a fluid under the approximation can be obtained on the basis of the assumption that the fluid is incompressible, in the sense that the density of the fluid is constant.
MARUYAMA, Kiyoshi
openaire   +3 more sources

The Oberbeck–Boussinesq approximation and Rayleigh–Bénard convection revisited

open access: yesDiscrete and Continuous Dynamical Systems
We consider the Oberbeck--Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non--local term arising in the incompressible limit of the Navier--Stokes--Fourier system.
Feireisl, Eduard   +2 more
openaire   +5 more sources

Energetics of internal solitary waves in a background sheared current [PDF]

open access: yesNonlinear Processes in Geophysics, 2010
The energetics of internal waves in the presence of a background sheared current is explored via numerical simulations for four different situations based on oceanographic conditions: the nonlinear interaction of two internal solitary waves; an internal ...
K. G. Lamb
doaj   +1 more source

Simulation of Low-Speed Buoyant Flows with a Stabilized Compressible/Incompressible Formulation: The Full Navier–Stokes Approach versus the Boussinesq Model

open access: yesAlgorithms, 2022
This paper compares two strategies to compute buoyancy-driven flows using stabilized methods. Both formulations are based on a unified approach for solving compressible and incompressible flows, which solves the continuity, momentum, and total energy ...
Guillermo Hauke, Jorge Lanzarote
doaj   +1 more source

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