Simulation of Three-Dimensional Incompressible Flows with a Vortex-in-Cell Method PDF Download

Author: Benoit Couet
Publisher:
ISBN:
Category :
Languages : en
Pages : 24

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Author: Benoit Couet
Publisher:
ISBN:
Category :
Languages : en
Pages : 38

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Book Description
A new method for the numerical simulation of three-dimensional incompressible flows is described. Our vortex-in-cell (VIC) method traces the motion of the vortex filaments in the velocity field these filaments create on an Eulerian mesh via the fast integration of a Poisson equation. By incorporating the viscous or subgrid-scale effects into a filtering procedure, the computed scales of motion are assumed to be essentially inviscid. Results on tracing a periodic array of single vortex rings are compared with a Green's function calculation. (Author).

Author: Mohamed M Hafez
Publisher: World Scientific
ISBN: 9814486396
Category : Mathematics
Languages : en
Pages : 708

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Book Description
This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.

Author: Benoit Couët
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 140

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Book Description
A new method for the numerical simulation of three-dimensional incompressible flows is described. Our vortex-in-cell (VIC) method traces the motion of the vortex filaments in the velocity field which these filaments create. The velocity field is not calculated by creating a mesh-record of the vorticity field, then integrating a Poisson's equation via the fast Fourier transform to get the stream function and generating a mesh-record of the velocity field. The computed scales of motion are assumed to be essentially inviscid. Viscous or subgrid-scale effects are incorporated into a filtering procedure in wave vector space. Three computational experiments were pursued in three-dimensional space. The velocity of translation of a single vortex ring was measured and compared with the Biot-Savart law. Next, the evolution in time of an infinite periodic array of closed vortex filaments (Taylor-Green) was studied. The third simulation follows a mixing layer from an initial state of uniform vorticity with two- and three-dimensional small perturbations. Streamwise perturbations lead to the usual roll-up of vortex patterns with spanwise uniformity.

Author: Ronald J. Adrian
Publisher: Cambridge University Press
ISBN: 0521440084
Category : Science
Languages : en
Pages : 585

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Particle image velocimetry, or PIV, refers to a class of methods used in experimental fluid mechanics to determine instantaneous fields of the vector velocity by measuring the displacements of numerous fine particles that accurately follow the motion of the fluid. Although the concept of measuring particle displacements is simple in essence, the factors that need to be addressed to design and implement PIV systems that achieve reliable, accurate, and fast measurements and to interpret the results are surprisingly numerous. The aim of this book is to analyze and explain them comprehensively.

Author: P. G. Saffman
Publisher: Cambridge University Press
ISBN: 9780521477390
Category : Mathematics
Languages : en
Pages : 332

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Book Description
Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.

Author: Michel Deville
Publisher: Springer Science & Business Media
ISBN: 3322898385
Category : Technology & Engineering
Languages : en
Pages : 406

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Book Description
Der Sammelband enthält Beiträge einer Tagung über die Simulation von dreidimensionalen Flüssigkeiten. Sie geben einen Überblick über den Stand des Wissens auf dem Gebiet der numerischen Simulation der Turbulenz, angewandt auf eine weite Spanne von Problemen wie Aerodynamik, Nicht-Newtonsche Flüssigkeiten, Konvektion.This volume contains the material presented at the IMACS-COST Conference on CFD, Three-Dimensional Complex Flows, held in Lausanne (Switzerland), September 13 - 15, 1995. It gives an overview of the current state of numerical simulation and turbulence modelling applied to a wide range of fluid flow problems such as an example aerodynamics, non-Newtonian flows, transition, thermal convection.

Author: 譚秘
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Karl E. Gustafson
Publisher: SIAM
ISBN: 9781611971736
Category : Science
Languages : en
Pages : 220

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Book Description
Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion. Vortex phenomena in fluid flows and the experimental, theoretical, and numerical methods used to characterize them are discussed in reviews by leading experts. Extensive photographs and sample computer graphics are provided. The development of large vortex structure in fluid flow is responsible for some of the most fascinating aspects of fluid dynamics, such as mixing, shearing, transport, and instability. Such issues arise in a variety of flow regimes, ranging from fundamental mathematical questions in laminar, transitional, and turbulent flow to sophisticated engineering settings and devices.

Author: Kyoji Kamemoto
Publisher: World Scientific
ISBN: 9814493287
Category : Technology & Engineering
Languages : en
Pages : 228

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Book Description
Vortex methods have been developed and applied to many kinds of flows related to various problems in wide engineering and scientific fields. The purpose of the First International conference on Vortex methods was to provide an opportunity for engineers and scientists to present their achievements, exchange ideas and discuss new developments in mathematical and physical modeling techniques and engineering applications of vortex methods.