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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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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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Approximate similarity solutions to the Boussinesq equation
Advances in Water Resources, 2002We derive a new cubic polynomial approximation to the similarity solution of the Boussinesq equation for one-dimensional, unconfined groundwater flow in a horizontal, initially dry aquifer with a power law inlet condition. This derivation builds upon the work of Lockington et al. (Adv. Wat. Resour. 23 (7) (2000) 725), where a quadratic approximation is
A.S Telyakovskiy, G.A Braga, F Furtado
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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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Models Based on Boussinesq Approximation
2010This chapter presents the simplest way to handle the Reynolds-averaged Navier–Stokes (RANS) equations by using the Boussinesq approximation to close the system of equations. We also present a wide variety of turbulence models that can be employed using the Boussinesq approximation.
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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 R3. 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 which
Feireisl, E. (Eduard), Schonbek, M.E.
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Approximate Solution of Nonlinear Boussinesq Equation
Journal of Hydrologic Engineering, 2009This study presents an approximate solution of the nonlinear Boussinesq equation (NBE). The approximate solution of NBE is assumed to consist of space function and the Fourier cosine series which has time-varying coefficients. The space function is very thin and constant in time.
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Approximate analytical solution of the Boussinesq equation [PDF]
, 1999 A new approximate solution of the one-dimensional Boussinesq equation is presented for a semi-infinite aquifer when the hydraulic head at the source is an arbitrary function of time. Estimates for recharge, discharge, and elevation of the water table are given.
Lockington, D. A. +3 more
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Buoyancy-driven flows beyond the Boussinesq approximation: A brief review
International Communications in Heat and Mass Transfer, 2021Gregory Sheard, Peyman Mayeli
exaly