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3 edition of A numerical study of viscous vortex rings using a spectral method found in the catalog.

A numerical study of viscous vortex rings using a spectral method

A numerical study of viscous vortex rings using a spectral method

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  • 13 Currently reading

Published by National Aeronautics and Space Administration, Ames Research Center, For sale by the National Technical Information Service in Moffett Field, Calif, [Springfield, Va .
Written in English

    Subjects:
  • Vortex-motion.

  • Edition Notes

    StatementS.K. Stanaway, B.J. Cantwell, P.R. Spalart.
    SeriesNASA technical memorandum -- 101041.
    ContributionsCantwell, Brian., Spalart, P. R., Ames Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15296589M

    Three‐dimensional interactions between an elliptic vortex ring and two no‐slip parallel walls are visualized in a numerical simulation and an experiment. The vortex ring induces a surface vorticity layer on the wall which reconnects with the vortex ring. During the interaction core‐area‐varying axial waves are generated and carry the surface layer away from the wall.   The Japan Society of Fluid Mechanics (JSFM) originated from a voluntary party of researchers working on fluid mechanics in The objectives of the society were to discuss abou.

    Numerical study of sound generation due to a spinning vortex pair. Sound generation by a pair of co-rotating vortices using spectral acoustic analogy. Journal of Sound and Vibration, Vol. Sound Generated by a Pair of Axisymmetric viscous Coaxial Vortex Rings. The aim of the numerical study was to establish the shape of the vortex rings, according to the experiments. The numerical computations of the vortex ring were performed using the VOF model implemented in FLUENT, the mixture of water and isopropyl alcohol being solved simultaneously with the same laminar solver in a 2D geometry.

    uid. For viscous ow, some method of modelling the viscous di usion must to added to the numerical scheme. A number of schemes have been developed. One of the rst applications of a DVM for viscous ow [1] used a random walk to model the viscous e ects. A random walk is simple to apply but has relatively low resolution and produces noisy results. Center for ~rbulcncc Rerearch Annud Rerearch Brief8 - 51 Numerical simulation of viscous vortex rings By S. K. STANAWAY 1. Motivation & Objectives This work is directed toward understanding vortex interactions and their role in turbulent flow. The objectives are twofold. First, to use the existing ax- isymmetric code to study the annihilation process of colliding vortex rings and.


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A numerical study of viscous vortex rings using a spectral method Download PDF EPUB FB2

Iii Abstract Viscous, axisymmetric vortex rings are investigated numerically by solving the in- compressible Navier-Stokes equations using a spectral method designed for this type of flow.

The results presented are axisymmetric, but the method is developed to. Viscous, axisymmetric vortex rings are investigated numerically by solving the incompressible Navier-Stokes equations using a spectral method designed for this type of flow.

The results presented are axisymmetric, but the method is developed to Cited by: Full text of "A numerical study of viscous vortex rings using a spectral method" See other formats.

A numerical study of viscous vortex rings using a spectral method by Sharon K Stanaway (Book). Get this from a library. A numerical study of viscous vortex rings using a spectral method.

[Sharon K Stanaway; Brian Cantwell; P R Spalart; Ames Research Center.]. And finally, with a moderate Reynolds number and a sufficiently large angle of incidence θ, only a secondary vortex ring is generated.

The secondary vortex wraps around the primary ring and propagates from the near end of the primary ring, which touches the wall first, to the far end, which touches the wall by: Viscous, axisymmetric vortex rings are investigated numerically by solving the incompressible Navier-Stokes equations using a spectral method designed for this type of flow.

The results presented are axisymmetric, but the method is developed to be naturally extended to three dimensions. In this paper, we use a lattice Boltzmann method to study the effect of swirl on the dynamics of an isolated three-dimensional vortex ring in a viscous incompressible fluid.

A numerical study of viscous vortex rings using a spectral method. A numerical study of vortex ring formation at the edge of a circular tube.

The evolution of vortex rings in isodensity and isoviscosity fluid has been studied analytically using a novel mathematical model. The model predicts the spatiotemporal variation in peak vorticity, circulation, vortex size and spacing based on instantaneous vortex parameters.

S. Stanaway, B.J. Cantwell, P.R. Spalart, A numerical study of viscous vortex rings using a spectral method, NASA Technical MemorandumGoogle Scholar [19]. Stanaway S. “A numerical study of viscous vortex rings using a spectral method” Ph.D.

Thesis Aeronautics and Astronautics Dept., Stanford University., Also NASA TMHelmholtz–Lamb’s method provides a shortcut to manipulate the translation speed at both small and large Reynolds number, for a vortex ring starting from an infinitely thin core. The resulting asymptotics significantly improve Saffman’s formula () and give closer lower and upper bounds on translation speed in an early stage.

The book Vortex Methods: Theory and Practice presents a comprehensive account of the numerical technique for solving fluid flow problems. It provides a very nice balance between the theoretical. A recent theoretical study [Borisov, Kilin, and Mamaev, “The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem,” Regular Chaotic Dyn.

18, 33 (); Borisov et al., “The dynamics of vortex rings: Leapfrogging in an ideal and viscous fluid,” Fluid Dyn. Res. 46, ()] shows that when three coaxial vortex rings travel in the same direction in an. Stanaway SK, Cantwell BJ, Spalart PR () A numerical study of. viscous vortex rings using a spectral method.

NASA STI/Recon. Tech Rep NSullivan IS, Niemela JJ, Hershberger RE. Stanaway SK; Cantwell BJ; Spalart PR () A numerical study of viscous vortex rings using a spectral method, NASA Tech Memo Thomson W in p.

of Helmholtz H () On integrals of the hydrodynamical equations, which express vortex-motion, Phil Mag 33 (Series 4): – Vortex interactions and their role in turbulent flow are examined.

The objectives are twofold. First, to use the existing axisymmetric code to study the annihilation process of colliding vortex rings and determine the relevance of this problem to similar 3-D phenomena. The second objective is to extend the code to three dimensions.

The code under development is unique in that it can compute. Dommermuth and D. Yue, “A numerical study of three-dimensional viscous interactions of vortices with a free surface,” 18th Symposium on Naval Hydrodynamics (University of.

2. Governing equations and numerical method Vortex method. The evolution of viscous incompressible flow is considered as described by the Navier–Stokes equations in Lagrangian vorticity form: (1) D ω D t = (ω ∇) u + ν Δ ω, and (2) Δ Ψ = ∇ × u =-ω, where Ψ is the vector streamfunction.

The equations are discretized using. For Rig Numerical Stuclies The present numerical methods are used to study ring vortices and vortex tubes impinging on walls and free surfaces. The vortex ring studies are performed using an .() A combined boundary integral and vortex method for the numerical study of three-dimensional fluid flow systems.

International Journal of Computer Mathematics() A vortex method for computing two-dimensional inviscid incompressible flows. Variation of speed of a viscous vortex ring with time. The thick line is the higher-order formula, while the thick dashed line is the Saffman’s formula. The dashed lines are the values read off from the graph of numerical simulations.

Γ / ν =, 50, from above.