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Approximate Conservation Laws for an Integrable Boussinesq System
Mathematical Modelling of Natural Phenomena, 2017Summary: The so-called Kaup-Boussinesq system is a model for long waves propagating at the surface of a perfect fluid. In this work, a derivation of approximate local conservation equations associated to the Kaup-Boussinesq system is given. The derivation of the approximate balance laws is based on reconstruction of the velocity field and the pressure ...
Ali, A. +2 more
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Boussinesq approximation in the Rayleigh-Benard problem
Fluid Dynamics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation methods for boundary control of the Boussinesq equations
52nd IEEE Conference on Decision and Control, 2013In this paper we discuss an approximation method for dealing with Dirichlet boundary control of thermal-fluid systems. The physics of displacement ventilation and buoyancy-driven flows are described by the Boussinesq equations. We first develop a computational algorithm for solving the corresponding LQR control problem for the Boussinesq equations with
John A. Burns, Weiwei Hu
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Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids
Journal of Optimization Theory and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Validity of the Boussinesq Approximation for the Elder Problem
Computational Geosciences, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rigorous derivation of the anelastic approximation to the Oberbeck–Boussinesq equations
Asymptotic Analysis, 2011It is shown that the anelastic Oberbeck–Boussinesq system is a small Mach, small Péclet and small Froude number limit of the complete Navier–Stokes–Fourier system for gases with large specific heat at constant volume. This result is obtained on an arbitrary large time interval.
Novotný, A. +2 more
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Polynomial approximate solutions to the Boussinesq equation
Advances in Water Resources, 2006Abstract We provide closed-form approximate solutions to models of horizontal infiltration described by the Boussinesq equation in a semi-infinite aquifer that is initially dry. The approximations preserve such important qualitative properties as scaling and wetting fronts. They are applicable to four types of boundary conditions, two on head and two
Aleksey S. Telyakovskiy, Myron B. Allen
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The Boussinesq approximation in a rotating frame of reference
Journal of Non-Equilibrium Thermodynamics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramos, Eduardo, Vargas, Minerva
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On the Oberbeck–Boussinesq Approximation on Unbounded Domains
2012We study the Oberbeck–Boussinesq approximation describing the motion of an incompressible, heat-conducting fluid occupying a general unbounded domain in R 3. We provide a rigorous justification of the model by means of scale analysis of the full Navier–Stokes–Fourier system in the low Mach and Froude number regime on large domains, the diameter of ...
Eduard Feireisl, Maria E. Schonbek
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Numerical approximations to the Boussinesq equations
2010A study of the Boussinesq equations in one dimension is presented. These equations describe the nonlinear wave propagation of a free surface under inviscid, incompressible, and irrotational constraints. Physically, they describe the motion of long waves (compared to the depth of the domain) which find applications in oceanography and coastal ...
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