Rayleigh-Benard stability and the validity of quasi-Boussinesq or quasi-anelastic liquid approximations [PDF]
, 2016 The linear stability threshold of the Rayleigh-Benard configuration is analyzed with compressible effects taken into account. It is assumed that the fluid obeys a Newtonian rheology and Fourier's law of thermal transport with constant, uniform (dynamic ...
Alboussiere, Thierry, Ricard, Yanick
core +4 more sources
Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions [PDF]
, 2005 There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large ...
Becker, Roland +7 more
core +1 more source
Boussinesq and Anelastic Approximations Revisited: Potential Energy Release during Thermobaric Instability [PDF]
, 2005 Expressions are derived for the potential energy of a fluid whose density depends on three variables: temperature, pressure, and salinity. The thermal expansion coefficient is a function of depth, and the application is to thermobaric convection in the ...
Ingersoll, Andrew P.
core +1 more source
Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion [PDF]
, 2017 We consider the space-time evolution of initial discontinuities of depth and flow velocity for an integrable version of the shallow water Boussinesq system introduced by Kaup.
A. M. Kamchatnov +15 more
core +3 more sources
Dynamic equilibria of a nonisothermal fluid
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 In this paper, stationary dynamic equilibria of the rotating mass of a nonisothermal fluid are discussed within the accuracy limits of the Boussinesq approximation.
Evgeny Yu Prosviryakov
doaj +1 more source
Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics [PDF]
, 2016 For surface gravity waves propagating in shallow water, we propose a variant of the fully nonlinear Serre-Green-Naghdi equations involving a free parameter that can be chosen to improve the dispersion properties.
Clamond, Didier +2 more
core +3 more sources
The Miles Theorem and New Particular Solutions to the Taylor--Goldstein Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The linear stability problem of steady-state plane-parallel shear flows of a continuously stratified inviscid incompressible fluid in the gravity field between two immovable impermeable solid planes is studied in and without the Boussinesq approximation.
A.A. Gavrilieva +2 more
doaj
Solvability of the Boussinesq Approximation for Water Polymer Solutions
Mathematics, 2019 We consider nonlinear Boussinesq-type equations that model the heat transfer and steady viscous flows of weakly concentrated water solutions of polymers in a bounded three-dimensional domain with a heat source.
Mikhail A. Artemov +1 more
doaj +1 more source
Contravariant Boussinesq equations for the simulation of wave transformation, breaking and run-up [PDF]
, 2015 We propose an integral form of the fully non-linear Boussinesq equations in contravariant formulation, in which Christoffel symbols are avoided, in order to simulate wave transformation phenomena, wave breaking and near shore currents in computational
Cannata, Giovanni +3 more
core +1 more source
A Non-Hydrostatic Depth-Averaged Model for Hydraulically Steep Free-Surface Flows
Fluids, 2017 This study describes the results of a numerical investigation aimed at developing and validating a non-hydrostatic depth-averaged model for flow problems where the horizontal length scales close to flow depth.
Yebegaeshet T. Zerihun
doaj +1 more source