Nicholas Kevlahan, McMaster University
Associate Professor
Mathematics & Statistics
Hamilton, Ontario
kevlahan@mcmaster.ca
Office:
(905) 525-9140 ext. 23412
Bio/Research
My research has been primarily on the theory and computation of fluid turbulence, with a special interest in 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 su...
Click to Expand >>
There are numerous problems that remain unresolved in the theory of turbulence, despite more than 100 years of research on the su...
Click to Expand >>
Bio/Research
My research has been primarily on the theory and computation of fluid turbulence, with a special interest in 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). The general theme of this work has been the interaction between coherent structures (such as vortices or shocks) and the random background in turbulence. This new approach should allow high Reynolds number (high speed, large size) flows to be calculated in realistic engineering or geophysical configurations.
Click to Shrink <<
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). The general theme of this work has been the interaction between coherent structures (such as vortices or shocks) and the random background in turbulence. This new approach should allow high Reynolds number (high speed, large size) flows to be calculated in realistic engineering or geophysical configurations.
Click to Shrink <<