198 research outputs found
Attractors for a deconvolution model of turbulence
We consider a deconvolution model for 3D periodic flows. We show the
existence of a global attractor for the model
On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations
We show the existence of an inertial manifold (i.e. a globally invariant,
exponentially attracting, finite-dimensional manifold) for the approximate
deconvolution model of the 2D mean Boussinesq equations. This model is obtained
by means of the Van Cittern approximate deconvolution operators, which is
applied to the 2D filtered Boussinesq equations
Inertial Frame Independent Forcing for Discrete Velocity Boltzmann Equation: Implications for Filtered Turbulence Simulation
We present a systematic derivation of a model based on the central moment
lattice Boltzmann equation that rigorously maintains Galilean invariance of
forces to simulate inertial frame independent flow fields. In this regard, the
central moments, i.e. moments shifted by the local fluid velocity, of the
discrete source terms of the lattice Boltzmann equation are obtained by
matching those of the continuous full Boltzmann equation of various orders.
This results in an exact hierarchical identity between the central moments of
the source terms of a given order and the components of the central moments of
the distribution functions and sources of lower orders. The corresponding
source terms in velocity space are then obtained from an exact inverse
transformation due to a suitable choice of orthogonal basis for moments.
Furthermore, such a central moment based kinetic model is further extended by
incorporating reduced compressibility effects to represent incompressible flow.
Moreover, the description and simulation of fluid turbulence for full or any
subset of scales or their averaged behavior should remain independent of any
inertial frame of reference. Thus, based on the above formulation, a new
approach in lattice Boltzmann framework to incorporate turbulence models for
simulation of Galilean invariant statistical averaged or filtered turbulent
fluid motion is discussed.Comment: 37 pages, 1 figur
Analysis of a Reduced-Order Approximate Deconvolution Model and its interpretation as a Navier-Stokes-Voigt regularization
We study mathematical and physical properties of a family of recently introduced, reduced-order approximate deconvolution models. We first show a connection between these models and the NS-Voigt model, and that NS-Voigt can be re-derived in the approximate deconvolution framework. We then study the energy balance and spectra of the model, and provide results of some turbulent flow computations that backs up the theory. Analysis of global attractors for the model is also provided, as is a detailed analysis of the Voigt model's treatment of pulsatile flow
Chaos in economics and finance
In this article, we specify the different approaches followed by the economists and the financial economists in order to use chaos theory. We explain the main difference using this theory with other research domains like the mathematics and the physics. Finally, we present tools necessary for the economists and financial economists to explore this domain empirically.Chaos theory ; attractor ; Economy ; Finance ; estimation theory ; forecasting
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