Recent Research Projects(Since 2002 – present)

• • Active mixing due to vortices generated by Rayleigh-Stokes second problem for a finite oscillating plate., 2012-2013, Principal Investigator.
  • Design and Optimization of Passive and Active Control on Aerodynamic Coupling between Wind Field and Wind Turbine Blade, 2011-2013, Co-Principal Investigator.
  • Numerical simulations of AC electrokinetically-induced fluid flow in a microchannel, 2011, Principal Investigator.
  • Wall Shear Stress and Temperature Profiles in Non-Isothermal Stagnation-Point Flow with Constant Wall and Freestream Temperature, 2009-2011, Principal Investigator.
  • Preconditioning Techniques for Large Linear Systems and Their Applications, 2009, Co-Principal Investigator.
  • Numerical Simulation of Stagnation-point Flow with the Full Navier-Stokes (NS) Equations, , 2008, Principal Investigator.
  • Preconditioning Techniques for Large Linear systems and Their Applications, 2008, Co-Principal Investigator.
  • PCG Method for Biharmonic Equation Appeared in 2-D Steady-State Incompressible Flow, January 2007 –December 2007, Principal Investigator.
  • Preconditioning for the Saddle Point Problem from Computational Fluid Dynamics (CFD), January 2006 –December 2006, Principal Investigator.
  • Numerical Methods in Financial Derivatives and Saddle Point Problem, January 2006 –December 2007, Co-Principal Investigator.
  • Numerical Methods in Financial Modeling, January 2005 –December 2005, Co-Principal Investigator.
  • Fast Iterative methods for solving large algebraic systems arising from Computational Fluid Dynamics, 2004, Co-Principal Investigator.
  • Circulant Preconditioner for Solving Neutral Differential Equations (NDEs) , 2003, Co-Principal Investigator.
  • BVM Solvers for Delay Numerical Equations (DDEs) codes, 2002, Co-Principal Investigator.