Professor, Ph.D. (Cambridge)
Dept. of Mathematics & Statistics, McMaster University
1280 Main Street West
Canada L8S 4K1
905-525-9140, ext. 23412
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..
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.
Graduate StudentsCurrently Supervising:
Ramsha Khan (PhD Math)
Afroja Parvin (MSc Math)
Mathias Aechtner (PhD CSE)
Gudmundur Adalsteinsson (MSc CSE)