Proceedings ArticleDOI
Vortex simulation of an inviscid shear layer
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The accuracy of the vortex-blob method was tested by simulating a free-shear-layer instability, Kirchhoff's elliptical vortex, and a circular vortex as mentioned in this paper.Abstract:
The accuracy of the vortex-blob method was tested by simulating a free-shear-layer instability, Kirchhoff's elliptical vortex, and a circular vortex. The main numerical parameters in the vortex-blob method are the density of the vortices, and the distribution of vorticity within each vortex core. The growth rate of a periodic unstable mode of the shear layer was calculated numerically and compared with the exact result. The error is only a few percent for about 10 rows of vortex blobs. The error is reduced by decreasing the spacing between vortices and, correspondingly, the core size. In the simulation of the motion of the elliptical vortex, the rotation of the boundary, without change of shape, and the circular particle paths of the vortical fluid were well simulated. For the circular vortex, optimum sets of parameters were obtained by comparing them with the exact velocity. The results are consistent with convergence theories of the vortex-blob method. In particular, second-order convergence is observed with a Gaussian core from velocity calculation.read more
Citations
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Journal ArticleDOI
High order accurate vortex methods with explicit velocity kernels
J.T. Beale,Andrew Majda +1 more
TL;DR: In this article, point vortex methods of high order accuracy are developed for inviscid, incompressible fluid flow in two or three space dimensions, where velocity kernels are smooth functions given by simple, explicit formulas.
Journal ArticleDOI
Three-dimensional shear layers via vortex dynamics
Wm. T. Ashurst,Eckart Meiburg +1 more
TL;DR: In this paper, the evolution of the two-and three-dimensional structures in a temporally growing plane shear layer is numerically simulated with the discrete vortex dynamics method, and the formation of concentrated streamwise vortices in the braid region between the spanwise rollers is observed to grow only initially.
Journal ArticleDOI
Convergence of Vortex methods for Euler's equations, III
TL;DR: In this article, the convergence of a large class of vortex methods for two-dimensional incompressible, inviscid flows with Holder continuous initial data was proved and several infinite order methods were presented.
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A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation
TL;DR: In this paper, the evolution of regions finies de vorticite uniforme dans un fluide illimite non visqueux is considered, and a systeme infini autocoherent d'equations differentielles regissant les moments of l'espece physique de chaque region is presented.
Journal ArticleDOI
The accumulation and dispersion of heavy particles in forced two-dimensional mixing layers. i: the fundamental and subharmonic cases
James E. Martin,Eckart Meiburg +1 more
TL;DR: In this paper, a scaling argument based on the idealization of the spatially periodic mixing layer as a row of point vortices is used to show that the formation of these concentrated particle streaks proceeds with optimum efficiency for St≂1.
References
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Journal ArticleDOI
Vortex methods for flow simulation
TL;DR: Recent progress in the development of vortex methods and their applications to the numerical simulation of incompressible fluid flows are reviewed in this article, with a focus on recent results concerning the accuracy of these methods, improvements in computational efficiency, and development of three-dimensional vortex methods.
Journal ArticleDOI
On the inviscid instability of the hyperbolictangent velocity profile
TL;DR: In this paper, the Rayleigh stability equation of inviscid linearized stability theory was integrated numerically for amplified disturbances of the hyperbolic-tangent velocity profile.
Journal ArticleDOI
Contour Dynamics for the Euler Equations in Two Dimensions
TL;DR: In this article, a contour dynamics algorithm for the Euler equations of fluid dynamics in two dimensions is presented, which is applied to regions of piecewise-constant vorticity within finite-area-vortex regions (FAVRs).
Journal ArticleDOI
Convergence of vortex methods for Euler’s equations
TL;DR: In this paper, it is proved that for a short time interval Chorin's vortex method converges superlinearly toward the solution of Euler's equations, which govern the flow.
Proceedings ArticleDOI
Computation of separated flows by a vortex-tracing algorithm
P. R. Spalart,A. Leonard +1 more
TL;DR: In this paper, a new version of the vortex method is presented, which provides an efficient representation of flows involving large regions of separation, and the modifications incorporated in the new version, which improve its accuracy, versatility, and computing speed.