@inproceedings{fc944a11c3304329a27f40bfc7af4375,
title = "A variational approach for the dynamics of unsteady point vortices",
abstract = "A Lagrangian formulation for the dynamics of unsteady point vortices is proposed. This Lagrangian is shown to be equivalent to the previously constructed Lagrangian in terms of yielding exact same dynamics for vortices of constant strength. However, different dynamics is obtained in the case of unsteady point vortices. The resulting Euler-Lagrange equation derived from the principle of least action based on the proposed Lagrangian exactly matches the Brown-Michael evolution equation for unsteady point vortices, which was derived from a completely different point of view that was based on conservation of linear momentum. The resulting dynamic model of time-varying vortices is applied to two cases of unsteady point vortices, namely the starting vortex and the vortex generated by a pitching flat plate. Validation of the results of the proposed Lagrangian are determined by comparing resulting aerodynamic coefficients with those of other models and experiments.",
keywords = "Lagrangian Approach, Pitching Airfoil, Starting Vortex, Unsteady Aerodynamics, Vortex Dynamics",
author = "Hussein, {Ahmed A.} and Taha, {Haithem E.} and Saad Ragab and Hajj, {Muhammad R.}",
note = "Publisher Copyright: {\textcopyright} 2017 International Forum on Aeroelasticity and Structural Dynamics (IFASD). All Rights Reserved.; 17th International Forum on Aeroelasticity and Structural Dynamics, IFASD 2017 ; Conference date: 25-06-2017 Through 28-06-2017",
year = "2017",
doi = "10.1016/j.ast.2018.05.010",
language = "English",
series = "17th International Forum on Aeroelasticity and Structural Dynamics, IFASD 2017",
booktitle = "17th International Forum on Aeroelasticity and Structural Dynamics, IFASD 2017",
}