Leon Kaganovskiy (lkaganovskiy@ncf.edu) Local Weather
I am an Assistant Professor at the New College of Florida Mathematics Department Email Link
Education:
Masters in Physics from Krarkov University
Bachelor in Applied Mathematics from University of Michigan Ann Arbor (Bachelor Degree copy).
Masters in Applied Mathematics from University of Michigan Ann Arbor (Masters Degree copy).
PhD in Applied Mathematics from University of Michigan Ann Arbor (Certificate, 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.
Teaching at the New
Spring 2008: Partial
Differential Equations,
Science on a Computer
Fall 2007: Computational ODEs, Introduction to Programming with Java and Matlab
Spring 2007: Computational Fluids, Networks Computer Lab
Fall 2006: Introduction to Numerical Methods, Introduction to Programming with Matlab and C++
Previous Teaching Experience at the
Calculus I, Calculus II , Multivariable Calculus III , Differential Equations
Teaching Philosophy. Teaching Experience and Future Interests. Efforts to Enhance Teaching
Collection of hand-written student evaluations, Copies of course evaluations
Instructional Technology Resources on Maple, Matlab and Mathematica:
Yunus A.
Cengel and John M. Cimbala FLUID
MECHANICS:
Fundamentals and Applications
Mathematics Education into 21st Century Project
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. Preliminary Write-up
Adaptive Panel Representation for 3D Vortex Ring Motion and Instability, Mathematical Problems in Engineering, vol 2007
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…
Research Statement Thesis Collection of Vortex Rings
Interview Presentation Maple Lab Review Predator-Prey Models Thesis Presentation
My simulations: One ring azimuthal instability k=8
Oblique collision of two rings: del = 0.2,
Lim experiments: Oblique Collision front, top Head-On Collision
Conference presentations:
- L. Kaganovskiy
and R. Krasny,
“Vortex Rings
and New Schemes Avoiding Local Derivatives”, Joint Math Meeting –
- L. Kaganovskiy
and M. Lowman, "Modeling
Forest Canopies for Herbivory",
Ecological Society of
- L. Kaganovskiy
and R. Krasny, “Stability,
Collision and Chaos in Vortex Rings” American
Physical Society, Division of Fluid Mechanics Conference –
- L. Kaganovskiy
and R. Krasny, “Adaptive Panel
Representation for 3-D Vortex Sheet Motion ” SIAM Annual Meeting
July 10-14, 2006, Boston, Massachusetts - 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
AMS - American Mathematical Society
SIAM - Society of Applied and Industrial
Mathematics
APS - American Physics Society
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