Results 11 to 20 of about 632,255 (202)
The Oberbeck–Boussinesq approximation in critical spaces [PDF]
Asymptotic 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
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A Numerical Method for Extended Boussinesq Shallow-Water Wave Equations [PDF]
, 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
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Rational derivation of the Boussinesq approximation
, 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
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The Oberbeck–Boussinesq approximation and Rayleigh–Bénard convection revisited
Discrete and Continuous Dynamical SystemsWe 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
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Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2011 To appear in ...
Duchêne, Vincent, Vincent Duchêne
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The Oberbeck–Boussinesq approximation as a constitutive limit [PDF]
Continuum Mechanics and Thermodynamics, 2015 We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the starting system is written, using the Gibbs free energy, in the variables $\mathbf v, θ$ and $p$.
Yoshiyuki Kagei, Ruzicka Michael
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Alexandria Engineering Journal, 2022 This paper investigates modelling strategies on the prediction of lift and drag coefficients of a NACA0012 airfoil at Reynolds number of 360,000. Two computational methods are employed; namely Navier-Stokes equation and panel method, by using different ...
K.M. Almohammadi
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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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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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On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
Numerical Methods for Partial Differential Equations, 2023 AbstractThe present paper is concerned with the numerical approximation of a three‐parameter family of Boussinesq systems. The systems have been proposed as models of the propagation of long internal waves along the interface of a two‐layer system of fluids with rigid‐lid condition for the upper layer and under a Boussinesq regime for the flow in both ...
Dougalis, Vassilios A. +2 more
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