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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 $\
Yoshiyuki Kagei, Michael Ruzicka
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On the Use and Misuse of the Oberbeck–Boussinesq Approximation
Physics, 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
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Beyond the Oberbeck–Boussinesq and long wavelength approximation [PDF]
Nuclear 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
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The Boussinesq approximation for buoyant flows
Mechanics 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
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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 We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one dimensional waves, and consider the case of a flat bottom.
Benjamin +38 more
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Incorporating velocity shear into the magneto-Boussinesq approximation [PDF]
Geophysical and Astrophysical Fluid Dynamics, 2014 14 pages, 0 figures.
David Hughes, Evy Kersalé
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Deep neural network-based prediction of tsunami wave attenuation by mangrove forests [PDF]
MethodsXThe goal of this research is to develop a model employing deep neural networks (DNNs) to predict the effectiveness of mangrove forests in attenuating the impact of tsunami waves.
Didit Adytia +6 more
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Algorithms, 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
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Energetics of internal solitary waves in a background sheared current [PDF]
Nonlinear 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
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Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation [PDF]
INCAS Bulletin, 2021 The topic of this paper is the Kelvin-Helmholtz instability, a phenomenon which occurs on the interface of a stratified fluid, in the presence of a parallel shear flow, when there is a velocity and density difference across the interface of two adjacent ...
Ilinca-Laura BURDULEA, Alina BOGOI
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