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Showing 1 to 20 of 83 for “"Boussinesq"”.
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Some asymptotic stability results for the Boussinesq equation
We prove that the solution of the Boussinesq equation with relatively small initial data exists globally and decays exponentially under some boundary conditions.
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Controllability of quasilinear parabolic equations and Ladyzhenskaya-Boussinesq models
… controlabili- dade nula do Sistema Ladyzhenskaya-Boussinesq, ou seja, com coeficiente de viscosidade dependendo da norma euclidiana. Em seguida, no capítulo 4, generalizamos o sistema Ladyzhenskaya-Boussinesq com termos não lineares para tornar a equação mais realista e alcançar a controlabilidade …
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A Numerical Method for Extended Boussinesq Shallow-Water Wave Equations
… such as the generation of harmonic waves. The Boussinesq equations are the simplest class of mathematical model that contain all these effects in a variable depth, shallow water environment. There are a variety of Boussinesq-type mathematical models and it is necessary to compare and contrast …
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The KdV and Whitham limit for a spatially periodic Boussinesq model
… für ein räumlich periodisches Boussinesq-Modell. Wir zeigen Abschätzungen der Differenz zwischen der KdV- beziehungsweise der Whitham-Approximation und echten Lösungen des ursprünglichen Modells, welche garantieren, dass diese Amplituden-Gleichungen korrekte Vorhersagen über die …
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Convection in a differentially heated rotating spherical shell of Boussinesq fluid with radiative forcing
In this study we investigate the flow of a Boussinesq fluid contained in a rotating, differentially heated spherical shell. Previous work, on the spherical shell of Boussinesq fluid, differentially heated the shell by prescribing temperature on the inner boundary of the shell, setting the …
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Wave breaking onset and dissipation in a fully non-linear, staggered grid Boussinesq model
… weakly-nonlinear (WNL) and fully-nonlinear (FNL) Boussinesq-type (BTE) models. We consider two primary questions: • 1. Is the FNL model capable of accurately reproducing shoaling behavior and esti- mates of parameters needed to describe the onset of breaking? • 2. How can the description of …
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Approximation and Control of the Boussinesq Equations with Application to Control of Energy Efficient Building Systems
… to locally exponentially stabilize the nonlinear Boussinesq Equations by applying Neumann/Robin type boundary control on a bounded and connected domain. The feedback controller is obtained by solving a Linear Quadratic Regulator problem for the linearized Boussinesq equations. Applying classical …
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Nodal Methods for Problems in Fluid Mechanics and Neutron Transport (navier-Stokes Equation, Boussinesq, Lid-Driven Cavity, Natural Thermal Convection, Diffusion Synthetic Acceleration)
A new high-accuracy, coarse-mesh, nodal integral approach is developed for the efficient numerical solution of linear partial differential equations. It is shown that various special cases of this general nodal integral approach correspond to several high-efficiency nodal methods developed recently …
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A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… this thesis are (2+ 1) and (3+ 1 )-dimensional Boussinesq equations, a generalized (3+ 1 )dimensional Kawahara equation, a (3 + 1)-dimensional KP-Boussinesq equation, a (3 + 1)-dimensional BKP-Boussinesq equation, two extended (3 + 1)-dimensional Jimbo-Miwa equations, the combined …
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ΜΑΘΗΜΑΤΙΚΗ ΠΕΡΙΓΡΑΦΗ ΤΗΣ ΔΙΑΔΟΣΗΣ ΤΩΝ ΜΗ ΓΡΑΜΜΙΚΩΝ ΔΙΑΣΠΕΙΡΟΜΕΝΩΝ ΚΥΜΑΤΙΣΩΝ ΣΤΟΝ ΠΑΡΑΚΤΙΟ ΧΩΡΟ
A NUMERICAL SOLUTION OF BOUSSINESQ TYPE OF EQUATIONS IS PROPOSED, BASED ON A CENTRAL FINITE DIFFERENCES SCHEME, WITH THIRD ORDER ACCURACY. THE CORRECTION TERMS, FROM TRUNCATION ERRORS, ARE INCLUDED IN THE F.D. INTEGRATION. BY INTRODUCINGA DIFFUSION TERM, TO SIMULATE TURBULENCE, WE PROPOSE AN …
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Control and stabilization of kdv-kdv and kp type systems
… nonlinear dispersive systems, including the Boussinesq KdV-KdV type system, the Hirota-Satsuma system, the Kadomtsev-Petviashvili (KP) equation and its higher-order variant, the Kawahara-KP (K- KP) equation. For the Boussinesq KdV-KdV type system and Hirota-Satsuma system, we design feedback …
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Model Reduction of the Coupled Burgers Equation in Conservation Form
… The coupled Burgers equation is motivated by the Boussinesq equations that are often used to model the thermal-fluid dynamics of air in buildings. We apply Finite Element Methods to the coupled Burgers equation and conduct several numerical experiments. Based on these results, the Group Finite …
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Observations and modeling of wave-acceleration-induced sediment transport in the surfzone
… over a 45-day period. A stochastic nonlinear Boussinesq model for the evolution of waves in shallow water is coupled with the wave-acceleration-driven sediment transport model to predict observed onshore sediment transport and sandbar migration given observations of the offshore wave field and …
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Observations and modeling of wave-acceleration-induced sediment transport in the surfzone
… over a 45-day period. A stochastic nonlinear Boussinesq model for the evolution of waves in shallow water is coupled with the wave-acceleration-driven sediment transport model to predict observed onshore sediment transport and sandbar migration given observations of the offshore wave field and …
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Generation of Very Long Waves in Laboratory for Tsunamis Research
… waves in the wave tank. Surface waves studied in Boussinesq scaling with time dependent bottom bathymetry gives a better performance in approximating the wave generation in the tank without a beach, while nonlinear shallow water system is good at approximating the wave run-up on a plane beach. The …
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Computational simulation of buoyancy-driven flows using vortex methods
… along with the vorticity transport equation and Boussinesq approximation to yield the baroclinically-generated vorticity field, also in a discrete form. The corresponding velocity field is then computed using a vorticity-streamfunction scheme similar to the vortex-in-cell approach. Complete …
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A spectral method determination of the first critical Rayleigh number for a low-Prandtl number crystal melt in a cylindrical container
… spectral model is used to reduce the governing Boussinesq system to a first-order system of ordinary differential equations. A local stability analysis using the linearized system determines the first critical Rayleigh number. The results are compared with experimental data and a numerical study.
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Resultados sobre a forma fraca do princípio de Saint-Venant
… The generalizations of the hypotesis made by Boussinesq and Love, as well as Sernberg's and Zanaboni's Theorems, are discussed. In the seoond chapter, Toupin' s Theorem on the weak form of Saint-Venant Principle is presented and some of his results are discusses. Finally, the author presents …
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Distributed Parameter Control of Thermal Fluids
… flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical …
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