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Author: Erik Witmer Egan
Publisher:
ISBN:
Category : Buoyant ascent (Hydrodynamics)
Languages : en
Pages : 344
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Book Description
A new vortex method for simulating two-dimensional buoyancy-driven flows is presented. This Lagrangian method utilizes a discrete representation of the known density field 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 simulations for a variety of Rayleigh-Taylor stability problems are presented, as are preliminary results for Rayleigh-Bernard flows. The discrete vorticity field is made up of vertically-oriented vortex dipole markers. The mutual interactions among these markers are determined by redistributing the dipolar marker vorticity onto a fixed array of true vortices. Standard vortex-in-cell techniques can then be used to generate marker velocities. The vorticity redistribution step is accomplished by matching the far-field velocity of a single dipole marker to that generated by the local grid vortices. The overall simulation method is termed the Dipole-in-Cell approach. Viscous and thermal diffusion effects (for Rayleigh-Benard flows only) are described using a random walk scheme. Rayleigh-Taylor simulations for both single- and double-interface geometries show the expected linear and nonlinear flow development, including the recirculation associated with the Kelvin-Helmholtz interfacial instability. The double-interface results show the development of an "anti-spike" along the top interface, as seen in other studies. The simulations are also shown to be capable of following the impact of a mass of fluid on solid boundaries and pools of stagnant fluid. The Rayleigh-Benard results demonstrate the validity of the random walk mechanism for simulating diffusion and the ability to generate rough representations of the classic Benard convection cells. The accuracy of the Benard cell results is limited by the long computation times required to reach steady state for small Rayleigh numbers. For the large Rayleigh number flows of greatest interest, no such problems will occur and the method should be well suited to simulating them. Suggestions are made for method improvements, including extensions to three-dimensional flow problems.
Author: Erik Witmer Egan
Publisher:
ISBN:
Category : Buoyant ascent (Hydrodynamics)
Languages : en
Pages : 344
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Book Description
A new vortex method for simulating two-dimensional buoyancy-driven flows is presented. This Lagrangian method utilizes a discrete representation of the known density field 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 simulations for a variety of Rayleigh-Taylor stability problems are presented, as are preliminary results for Rayleigh-Bernard flows. The discrete vorticity field is made up of vertically-oriented vortex dipole markers. The mutual interactions among these markers are determined by redistributing the dipolar marker vorticity onto a fixed array of true vortices. Standard vortex-in-cell techniques can then be used to generate marker velocities. The vorticity redistribution step is accomplished by matching the far-field velocity of a single dipole marker to that generated by the local grid vortices. The overall simulation method is termed the Dipole-in-Cell approach. Viscous and thermal diffusion effects (for Rayleigh-Benard flows only) are described using a random walk scheme. Rayleigh-Taylor simulations for both single- and double-interface geometries show the expected linear and nonlinear flow development, including the recirculation associated with the Kelvin-Helmholtz interfacial instability. The double-interface results show the development of an "anti-spike" along the top interface, as seen in other studies. The simulations are also shown to be capable of following the impact of a mass of fluid on solid boundaries and pools of stagnant fluid. The Rayleigh-Benard results demonstrate the validity of the random walk mechanism for simulating diffusion and the ability to generate rough representations of the classic Benard convection cells. The accuracy of the Benard cell results is limited by the long computation times required to reach steady state for small Rayleigh numbers. For the large Rayleigh number flows of greatest interest, no such problems will occur and the method should be well suited to simulating them. Suggestions are made for method improvements, including extensions to three-dimensional flow problems.
Author: EMEL SELAMET
Publisher:
ISBN:
Category :
Languages : en
Pages : 238
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Book Description
rectangular cavity, three cells are found in the wide section.
Author: Thomas B. Gatski
Publisher: Oxford University Press
ISBN: 0195355563
Category : Science
Languages : en
Pages : 329
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Book Description
This book provides students and researchers in fluid engineering with an up-to-date overview of turbulent flow research in the areas of simulation and modeling. A key element of the book is the systematic, rational development of turbulence closure models and related aspects of modern turbulent flow theory and prediction. Starting with a review of the spectral dynamics of homogenous and inhomogeneous turbulent flows, succeeding chapters deal with numerical simulation techniques, renormalization group methods and turbulent closure modeling. Each chapter is authored by recognized leaders in their respective fields, and each provides a thorough and cohesive treatment of the subject.
Author: Chun-Chuan Chang
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Vipin Kumar
Publisher: Springer
ISBN: 354044839X
Category : Computers
Languages : en
Pages : 1093
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Book Description
The three-volume set, LNCS 2667, LNCS 2668, and LNCS 2669, constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2003, held in Montreal, Canada, in May 2003.The three volumes present more than 300 papers and span the whole range of computational science from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The proceedings give a unique account of recent results in computational science.
Author: Seung-Jae Lee
Publisher:
ISBN:
Category : Science
Languages : en
Pages :
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Book Description
Vorticity plays a key role in determining fluid flow dynamics, especially in vortex-dominated flows. Vortex methods, which are based on the vorticity-based formulation of the Navier-Stokes equations, have provided deeper insight into physical reality in a variety of flows using vorticity as a primary variable. The penalized vortex-in-cell (VIC) method is a state-of-the-art variant of vortex methods. In the penalized VIC method, Lagrangian fluid particles are traced by continuously updating their position and strength from solutions at an Eulerian grid. This hybrid method retains beneficial features of pure Lagrangian and Eulerian methods. It offers an efficient and effective way to simulate unsteady viscous flows, thereby enabling application to a wider range of problems in flows. This article presents the fundamentals of the penalized VIC method and its implementations.
Author: Mohamed M Hafez
Publisher: World Scientific
ISBN: 9814495778
Category : Science
Languages : en
Pages : 1169
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Book Description
The first volume of CFD Review was published in 1995. The purpose of this new publication is to present comprehensive surveys and review articles which provide up-to-date information about recent progress in computational fluid dynamics, on a regular basis. Because of the multidisciplinary nature of CFD, it is difficult to cope with all the important developments in related areas. There are at least ten regular international conferences dealing with different aspects of CFD.It is a real challenge to keep up with all these activities and to be aware of essential and fundamental contributions in these areas. It is hoped that CFD Review will help in this regard by covering the state-of-the-art in this field.The present book contains sixty-two articles written by authors from the US, Europe, Japan and China, covering the main aspects of CFD. There are five sections: general topics, numerical methods, flow physics, interdisciplinary applications, parallel computation and flow visualization. The section on numerical methods includes grids, schemes and solvers, while that on flow physics includes incompressible and compressible flows, hypersonics and gas kinetics as well as transition and turbulence. This book should be useful to all researchers in this fast-developing field.
Author:
Publisher:
ISBN:
Category : Heat
Languages : en
Pages : 622
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Book Description
Author: Alexander Gelfgat
Publisher: Springer
ISBN: 3319914944
Category : Technology & Engineering
Languages : en
Pages : 524
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Book Description
Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.
Author: Paul G. Tucker
Publisher: Springer Science & Business Media
ISBN: 1461514398
Category : Science
Languages : en
Pages : 360
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Book Description
Computation of Unsteady Internal Flows provides an in-depth understanding of unsteady flow modeling and algorithms. This understanding enables suitable algorithms and approaches for particular fields of application to be selected. In addition, the understanding of the behavior of algorithms gained allows practitioners to use them more safely in existing codes, enabling meaningful results to be produced more economically. Features of Computation of Unsteady Internal Flows: Specialized unsteady flow modeling algorithms, their traits, and practical tips relating to their use are presented. Case studies considering complex, practically significant problems are given. Source code and set-up files are included. Intended to be of a tutorial nature, these enable the reader to reproduce and extend case studies and to further explore algorithm performances. Mathematical derivations are used in a fashion that illuminates understanding of the physical implications of different numerical schemes. Physically intuitive mathematical concepts are used. New material on adaptive time stepping is included. £/LIST£ Audience: Researchers in both the academic and industrial areas who wish to gain in-depth knowledge of unsteady flow modeling will find Computation of Unsteady Internal Flows invaluable. It can also be used as a text in courses centered on computational fluid dynamics.
