N-vortex problem: Analytical techniques

PK Newton, MF Platzer - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

Reconstruction phases in the planar three-and four-vortex problems

A Hernández-Garduño, BN Shashikanth - Nonlinearity, 2018 - iopscience.iop.org
Pure reconstruction phases—geometric and dynamic—are computed in the N-point-vortex
model in the plane, for the cases $ N= 3$ and $ N= 4$. The phases are computed relative to …

Evaluation of the biot–savart integral for deformable elliptical gaussian vortex elements

LF Rossi - SIAM Journal on Scientific Computing, 2006 - SIAM
This paper introduces two techniques for approximating the Biot–Savart integral for
deforming elliptical Gaussian functions. The primary motivation is to develop a high spatial …

Using global interpolation to evaluate the Biot-Savart integral for deformable elliptical Gaussian vortex elements

RB Platte, LF Rossi, TB Mitchell - SIAM Journal on Scientific Computing, 2009 - SIAM
This paper introduces a new method for approximating the Biot-Savart integral for elliptical
Gaussian functions using high-order interpolation and compares it to an existing method …

The vortex merger factor in aircraft wake turbulence

M Mokry - The Aeronautical Journal, 2005 - cambridge.org
Vortex merger is studied within the context of two-dimensional discrete vortex sheets and
demonstrated on two equally oriented circular vortices and aircraft tip and flap vortices. It is …