Nicholas Kevlahan
Profile Photo
Professor
HH 324
(905) 525 9140 ext. 23412
(905) 522-0935
...

Research Area: Applied Mathematics, Fluids & Turbulence

Research Profile: 
Applied Mathematics, Turbulent fluid flow, wavelet methods 
My research focuses on the theory and computation of fluid turbulence, with a special interest in dynamically adaptive numerical methods based on the wavelet transform. There are numerous problems that remain unresolved in the theory of turbulence, despite more than 100 years of research on the subject. A complete and precise theory of turbulence would be useful in areas as diverse as aerodynamics, combustion, urban pollution modelling, weather prediction and climate modelling. Although we are still far from being able to formulate such a theory, much progress has been made in the last few decades. The aim of my research is to combine several recent discoveries in order to develop a new approach to turbulence modelling. These discoveries include wavelet transforms (which are used to compress data and solve partial differential equations), penalisation methods (which can be used with any numerical method to simulate complex geometries, such as an airplane), and coherent vortices (flow structures that control turbulence dynamics). Current research projects include adaptive multiscale climate modelling, fluid-structure interaction, compressive sampling and the role of turbulence in star formation.

Applied mathematics, turbulent fluid flow, wavelet methods

2017/2018
Math 3NA3
Math 4P06A

2016/2017
Math 3C03
Math 744

2015/2016
Origins 4RS3
Math 2T03

2014/2015
Origins 4RS3

2013/14
iSci Origins
Math 744

Recent Papers:

Dubos, T. & Kevlahan, N.K.-R. 2013 A conservative adaptive wavelet method for the shallow water equations on staggered grids Q.J.R. Meteorol. Soc. DOI:10.1002/qj.2097

Pudritz, R.E. & Kevlahan, N.K.-R. 2012 Shock interactions, turbulence and the origin of the stellar mass spectrum. Phil. Trans. Roy. Soc. Accepted.

Holdsworth, A.M., Kevlahan, N.K.-R. & Earn, D.J.D. 2012 Multifractal signatures of infectious diseases. J. Roy. Soc.: Interface doi10.1098/rsif.2011.0886 Kevlahan, N.K.-R. 2011 The role of vortex wake dynamics in the flow-induced vibration of tube arrays. J. Fluids Strucs. 27, 829-837.

Farazmand, M.M., Kevlahan, N.K.-R. & Protas, P. 2011 Controlling the dual cascade of two-dimensional turbulence. J. Fluid Mech. 668, 202-222.

Kevlahan, N. & Pudritz, R.E. 2009 Shock-generated vorticity in the interstellar medium and the origin of the stellar initial mass function. ApJ 702, 39-49.

Kevlahan, N.K.-R. 2007 Three-dimensional Floquet stability analysis of the wake in cylinder arrays. J. Fluid Mech. 592, 79-88.

Alam, J., Kevlahan, N.-K.-R. & Vasilyev, O.V. 2006 Simultaneous space-time adaptive wavelet solution of nonlinear partial differential equations. J. Comput. Phys 214, 829-857.

Currently Supervising:
Ramsha Khan (PhD Math)
Afroja Parvin (MSc Math)

 

Past Students:
Mathias Aechtner (PhD CSE)
Gudmundur Adalsteinsson (MSc CSE)

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