Institute of High Performance Computing

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Fluid Dynamics (FD)

Dr. Pankaj KUMAR

Dr. Pankaj KUMAR


Research Interests:

  • Solid-Fluid Interaction
  • Chaos in Laminar Flows
  • Numerical Solution of Fractional Differential Equations

Qualifications:

  • Ph.D., Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 2006-2010
  • MS, Mechanical Engineering, Southern Illinois University, Carbondale, 2004-2006
  • B.Tech., Industrial Engineering, Indian Institute of Technology, Roorkee, 1997-2001

Published Journals/ Articles:

Journals

    • Yang Q., Jones V., Kumar P., McCue L., "Validation of a SPH-FEM Model for Seal Dynamics of Surface Effect Ships", Naval Engineers Journal (accepted
    • Grover P., Ross S., Stremler M. A., Kumar P., “Topological chaos, braiding and bifurcation of almost-cyclic sets”, Chaos(accepted)
    • Stremler, M. A., Ross, S. D., Grover, P., Kumar, P., “Topological Chaos and Periodic Braiding of Almost-Cyclic sets”, Physical Review Letters, Vol. 106, 114101, 2011
    • Kumar, P., Agrawal, O. P., “A Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1”, Journal of Computational and Nonlinear Dynamics, ASME,1(2), pp. 178–185, 2006
    • Kumar, P., Agrawal, O. P., “An Approximate Method for Numerical Solution of Fractional Differential Equations”, Elsevier Science, Signal Processing, Volume 86, Issue 10, pp. 2602–2610, 2006

Conferences

    • Stremler M.A., Ross S.D., Grover P., Kumar P., Gheisarieha M., Rao P., “Identifying topological chaos using set-oriented methods”, IUTAM topology workshop, Newton Institute, July 23-27, 2012
    • Stremler M.A., Gheisarieha M., Grover P., Kumar P., Ross S.D., “Topological chaos in systems `stirred" by almost-cyclic sets”, Submitted at 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL, July 1-5, 2012
    • Kumar P., Yang Q., Jones V., McCue L., “SPH Simulation within the OpenFOAM Framework”, 6th OpenFOAM Workshop, State College, PA, June 13-16, 2011
    • Rao P., Duggleby A., Kumar P.,Stremler M.A., “The Effect of Finite Reynolds Numbers on Chaotic Advection”, 62nd Annual Meeting of the APS Division of Fluid Dynamics, Minneapolis, MN, November 22–24, 2009
    • Stremler M. A., Kumar P., Grover P., Ross S., “Almost Invariant Sets as ‘Ghost Rods’ for Fluid Stirring”, 62nd Annual Meeting of the APS Division of Fluid Dynamics, Minneapolis, MN, November 22–24, 2009
    • Kumar P., Stremler M. A., “Stirring with Ghost Rods in a Lid-Driven Cavity”, 62nd Annual Meeting of the APS Division of Fluid Dynamics, Minneapolis, MN, November 22–24, 2009
    • Kumar P., Stremler M. A., “Chaotic Advection in Pulsed Source-Sink Systems”, The 2009 Joint ASCE-ASME-SES Conference on Mechanics of Materials, Blacksburg, VA, June 24–27, 2009
    • Kumar, P., Stremler M. A., “Chaotic Advection in Pulsed Source-Sink Systems”, 61st Annual Meeting of the APS Division of Fluid Dynamics, San Antonio, Texas, November 23–25, 2008
    • Kumar, P., Stremler M. A., “Chaotic Advection in Pulsed Source-Sink Systems”, 60th Annual Meeting of the APS Division of Fluid Dynamics, Salt Lake City, UT, November 18–20, 2007
    • Kumar, P., Agrawal, O. P., “A Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1”, Second Symposium on Fractional Derivatives and Their Applications, ASME 2005 International Design Engineering Technical Conferences, Long Beach, California, Sept 24–28, 2005
    • Kumar, P., Agrawal, O. P., “A Cubic Scheme for Numerical Solution of Fractional Differential Equations”, Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005), Eindhoven University of Technology, The Netherlands, Aug 7–12, 2005

Book Chapter(s)

    • Agrawal, O. P., Kumar, P., “Comparative Study of Five Numerical Schemes for Fractional Differential Equations”, Book: Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, pp. 43–60, 2006

This page is last updated at: 21-OCT-2014