Application of analytical and computational methods in the thermo-fluid sciences.
- Analytical and computational solutions to partial differential equations.
- Application of advanced analytical techniques in the thermo-fluid sciences.
- Development of serial and parallel numerical algorithms for unsteady fluid flows.
- Numerical solutions of unsteady boundary-layer flows in Lagrangian coordinates.
- Theoretical description of physical processes in unsteady separation.
- Theoretical and numerical investigations of instabilities in boundary-layer flows.
- Supersonic and hypersonic boundary-layer flows.
- Unsteady mixed-convection boundary-layer flows.
- Effects of vortex-surface interaction on wall-bounded flows.
- Passive and active control of separation and dynamic stall on airfoils.
- Fluid dynamics and heat transfer characteristics of buoyancy-driven flows with heat generation.
- Computational simulations of bio-fluids.
S. W. Kung Award - for best Ph.D. paper presented at the 1993 Mechanical Engineering and Mechanics Graduate Student Symposium, Lehigh University.
Baldwin Fellowship, Lehigh University (1989-1990).
National Defense Science and Engineering Graduate Fellowship (1991-1993).
National Research Council Postdoctoral Fellowship, National Institute of Standards and Technology (1993-1996).
Philip Thomas Medal of Excellence - for best paper presented at the Fifth International Symposium on Fire Safety Science, Melbourne, Australia, March 3-7, 1997.
Army Research Office Young Investigator Award (1998-2001).
Ralph L. Barnett Excellence in Teaching Award (2001) Mechanical, Materials and Aerospace Engineering Department, Illinois Institute of Technology.
Alfred Noble Prize (2002) - for the paper, A Comparison of Navier-Stokes Solutions with the Theoretical Description of Unsteady Separation, published in the Philosophical Transactions of the Royal Society of London.
Essential Foreign Participant (2003) Invited to participate in the London Mathematical Society Colloquium on New Developments and Applications of Rapid Fluid Flows as an Essential Foreign Participant (July 2003).
Ralph L. Barnett Excellence in Teaching Award (2007) Mechanical, Materials and Aerospace Engineering Department, Illinois Institute of Technology.
University Excellence in Teaching Award (2008) Illinois Institute of Technology.
Associate Fellow of the American Institute of Aeronautics and Astronautics (2013).
Variational Methods with Applications in Science and Engineering by Kevin W. Cassel, Cambridge University Press (2013) 413 p.