Leon Kaganovskiy (lkaganovskiy@ncf.edu)
I am an Assistant Professor at the New College of Florida Mathematics Department
Education:
Masters in Physics from Krarkov University Ukraine (Diploma, Transcript)
Bachelor in Applied Mathematics from University of Michigan Ann Arbor
Masters in Applied Mathematics from University of Michigan Ann Arbor
PhD in Applied Mathematics from University of Michigan Ann Arbor
University of Michigan Transcript
Work Address:
Leon Kaganovskiy,
New College of Florida
Department of Natural Sciences,
5800 Bayshore Road, Sarasota, FL 34243, tel (941) 487-4118
Home Address:
Leon Kaganovskiy,
3525 Cheshire Sq, apt B. Sarasota FL 34237, tel (941) 366-6134
Teaching at the New College of Florida
Course Syllabi:
Fall 2008: Introduction to Programming, Introduction to Numerical Methods.
Spring 2008: Partial Differential Equations, Science on a Computer
Fall 2007: Computational ODEs, Introduction to Programming with Java and Matlab
Spring 2007: Computational Methods, Networks Computer Lab
Fall 2006: Introduction to Numerical Methods, Introduction to Programming with Matlab and C++
Collection of hand-written student evaluations
Teaching at the University of Michigan:
Course Syllabi: Calculus I, Calculus II , Multivariable Calculus III , Differential Equations
Collection of hand-written student evaluations
Instructional Technology Resources on Maple, Matlab and Mathematica:
Maple for the Classroom of the Future
Mathematica, Maple, Matlab, IDL
Yunus A. Cengel and John M. Cimbala FLUID MECHANICS:
Fundamentals and Applications
Seminar on Teaching Mathematics
Center for Research on Learning and Teaching
Research:
Recent work with Prof M. Lowman on Percolation type Modeling of Canopy Trees.
PUBLICATIONS:
L. Kaganovskiy, “Adaptive Panel Representation for 3D Vortex Ring Motion and Instability”,
Mathematical Problems in Engineering, vol. 2007
L. Kaganovskiy, R. Krasny, H. Feng, “Azimuthal vortex ring instability computed by a
vortex sheet panel method” – submitted to Journal of Fluid Research.
(referee comments are positive, we are in the last stages of corrections)
Thesis advisors: Prof. R. Krasny (Mathematics), Prof. W. Dahm (Aerospace Engineering)
My PhD thesis concentrates on 3-D vortex sheet motions in incompressible fluid.
We developed new local, adaptive, higher order, tree-based quadrature and point insertion
method to describe vortex sheet motions.
This method for the first time enabled us to consider long time behavior of unstable vortex rings
as well as their oblique and head on collision. The method is not limited to vortex ring motion
and can be applied to any vortex sheet such as aerodynamic jets, wakes etc…
My simulations: One ring azimuthal instability k=8
Oblique collision of two rings: del = 0.2, del = 0.25 - top, front, Head-On Collision
Lim experiments: Oblique Collision front, top Head-On Collision
Conference presentations:
L. Kaganovskiy and M. Lowman, "Modeling Forest Canopies for Herbivory and Entire Forest",
Ecological Society of America Conference - Milwaukee, WI, Aug 3-8, 2008
L. Kaganovskiy, “Extensions of Lotka-Volterra models in population dynamics”,
Math Fest - Madison, WI, Jul 30 – Aug 3, 2008
L. Kaganovskiy, “Azimuthal vortex ring instability computed by a vortex sheet panel method”,
Joint Mathematics Meeting – San Diego, CA, Jan 5-9, 2008.
L. Kaganovskiy and M. Lowman, "Modeling Forest Canopies for Herbivory",
Ecological Society of America Conference - San Jose, CA, Aug 6-10, 2007
L. Kaganovskiy and R. Krasny, “Stability, Collision and Chaos in Vortex Rings”
American Physical Society, Division of Fluid Mechanics Conference – Tampa, FL,
November 19-23, 2006
L. Kaganovskiy and R. Krasny, “Stability, Head-on and Oblique Collision of Vortex Rings”
American Physical Society, Division of Fluid Mechanics Conference –Chicago, Illinois,
November 20-22, 2005
L. Kaganovskiy and R. Krasny, “Oblique Collision of Vortex Rings”
3rd MIT Conference on Computational Fluid and Solid Mechanics –Boston,
Massachusetts, June 14-17, 2005
L. Kaganovskiy and R. Krasny, “Local Adaptive Tree-Based Quadrature
And Point Insertion for 3-D Vortex Sheet Motion”
Third SIAM Conference on Computational Science and Engineering – Orlando,
Florida, February 12-15, 2005
Our vortex rings simulations:
Application of Vortex Rings:
Vortices Behind Airplane Wings
Use of vortex rings in Aerodynamics of Explosive Detection Portals for Aviation Security Screening
Links:
MAA - Mathematical Association of America
AMS - American Mathematical Society
SIAM - Society of Applied and Industrial Mathematics
APS - American Physics Society