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"FLOW MODELS"
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Computational Models for Polydisperse Particulate and Multiphase Systems
by
Fox, Rodney O.
,
Marchisio, Daniele L.
in
Chemical reactions
,
Chemical reactions -- Mathematical models
,
Chemistry & Chemical Engineering
2013
Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modelling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, break-up, nucleation, advection and diffusion and physical- and phase-space), providing valuable experience in simulating systems that can be applied to your own applications. Practical cases of QMOM, DQMOM, CQMOM, EQMOM and ECQMOM are also discussed and compared, as are realizable finite-volume methods. This provides the tools you need to use quadrature-based moment methods, choose from the many available options, and design high-order numerical methods that guarantee realizable moment sets. In addition to the numerous practical examples, MATLAB scripts for several algorithms are also provided, so you can apply the methods described to practical problems straight away.
Transition to turbulence : a dynamical system approach to receptivity
\"Present understanding of transition to turbulence has now been studied over one hundred and fifty years. The path the studies have taken posed it as a modal eigenvalue problem. Some researchers have suggested alternative models without being specific. First-principle based approach of receptivity is the route to build bridges among ideas for solving the Navier-Stokes equation for specific canonical problems. This book highlights the mathematical physics, scientific computing, and new ideas and theories for nonlinear analyses of fluid flows, for which vorticity dynamics remain central. This book is a blend of classic with distinctly new ideas, which establish different dynamics of flows, from genesis to evolution of disturbance fields with rigorously developed methods to tracing coherent structures amidst the seemingly random and chaotic fluid dynamics of transitional and turbulent flows\"-- Provided by publisher.
Analysis and comparison of traffic flow models: a new hybrid traffic flow model vs benchmark models
by
Di Pace Roberta
,
Bruno, Francesca
,
Storani Facundo
in
Benchmarks
,
Cellular automata
,
Macroscopic models
2021
BackgroundThis paper compares a hybrid traffic flow model with benchmark macroscopic and microscopic models. The proposed hybrid traffic flow model may be applied considering a mixed traffic flow and is based on the combination of the macroscopic cell transmission model and the microscopic cellular automata.Modelled variablesThe hybrid model is compared against three microscopic models, namely the Krauß model, the intelligent driver model and the cellular automata, and against two macroscopic models, the Cell Transmission Model and the Cell Transmission Model with dispersion, respectively. To this end, three main applications were considered: (i) a link with a signalised junction at the end, (ii) a signalised artery, and (iii) a grid network with signalised junctions.ResultsThe numerical simulations show that the model provides acceptable results. Especially in terms of travel times, it has similar behaviour to the microscopic model. By contrast, it produces lower values of queue propagation than microscopic models (intrinsically dominated by stochastic phenomena), which are closer to the values shown by the enhanced macroscopic cell transmission model and the cell transmission model with dispersion. The validation of the model regards the analysis of the wave propagation at the boundary region.
Journal Article
Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
by
Bedrossian, Jacob
,
Germain, Pierre
,
Masmoudi, Nader
in
Damping (Mechanics)
,
Inviscid flow
,
Mixing
2020
The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $\\epsilon \\leq c_0\\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global, remains within $O(c_0)$ of the Couette flow in $L^2$, and returns to the Couette flow as $t \\rightarrow \\infty $. For times $t \\gtrsim \\mathbf {Re}^1/3$, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of \"2.5 dimensional\" streamwise-independent solutions referred to as streaks.
Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
by
Bedrossian, Jacob
,
Germain, Pierre
,
Masmoudi, Nader
in
Damping (Mechanics)
,
Inviscid flow
,
Mixing
2022
This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible
Navier-Stokes equations at high Reynolds number
Essentials of multiphase flow and transport in porous media
by
Gray, William G
,
Pinder, George F
in
Mathematical models
,
Multiphase flow
,
Multiphase flow -- Mathematical models
2008
Learn the fundamental concepts that underlie the physics of multiphase flow and transport in porous media with the information in Essentials of Multiphase Flow in Porous Media, which demonstrates the mathematical-physical ways to express and address multiphase flow problems. Find a logical, step-by-step introduction to everything from the simple concepts to the advanced equations useful for addressing real-world problems like infiltration, groundwater contamination, and movement of non-aqueous phase liquids. Discover and apply the governing equations for application to these and other problems in light of the physics that influence system behavior.