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MATH 6800

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Mathematical Sciences
William D. Henshaw

Margaret A. Darrin Distinguished Professor in Applied Mathematics
Ph.D. California Institute of Technology
Computational and Applied Mathematics

William D. Henshaw
Research

  • Interests:

    • Numerical algorithms for solving partial differential equations,
    • High-order accurate methods,
    • Approximations for adaptive and overlapping grids,
    • Incompressible and compressible fluid flows, fluid-structure interactions, solid mechanics and electromagnetics.
    • Overture framework http://www.OvertureFramework.org

  • Collaborators:

  • Recent publications (full list with links):

    • Jeffrey W. Banks and William D. Henshaw and Donald W. Schwendeman.
      An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solidsUpwind schemes for the wave equation in second-order form.
      J. Comput. Phys., 269:108-137, 2014.
      AMPInsBulkBanksHenshawSchwendeman2014.pdf.

    • Jeffrey W. Banks and William D. Henshaw and Donald W. Schwendeman.
      An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells.
      J. Comput. Phys., 268:399-416, 2014.
      AMPInsShellBanksHenshawSchwendeman2014.pdf.

    • Jeffrey W. Banks, William D. Henshaw, and Björn Sjögreen.
      A stable FSI algorithm for light rigid bodies in compressible flow.
      J. Comput. Phys., 231(17):5854-5889, 2013.
      BanksHenshawSjogreenFSIforLightRigidBodies2012.pdf.

    • Jeffrey W. Banks and William D. Henshaw.
      Upwind schemes for the wave equation in second-order form.
      J. Comput. Phys., 231(17):5854-5889, 2012.
      BanksHenshawSOSUP2012.pdf.

    • Andrea Lani, Björn Sjögreen, H. C. Yee, and William D. Henshaw.
      Variable high-order multiblock overlapping grid methods for mixed steady and unsteady multiscale viscous flows, part II: hypersonic nonequilibrium flows.
      Commun. Comput. Phys., 13(2):583-602, 2012.

    • D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Hybrid Two-Phase Mixture Model of Detonation Diffraction with Compliant Confinement, Comptes Rendus Mathematique, 340 (2012), 804-817.

    • D. Appelo, J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Numerical methods for solid mechanics on overlapping grids: linear elasticity, J. Comput. Physics, 231 (2012), 6012-6050.

    • D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A comparative study of two macro-scale models of condensed-phase explosives, IMA J. Applied Math., 77 (2012), 2-17.

    • M. Ozlem, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A numerical study of shock-induced cavity collapse, Shock Waves, 22 (2012), 89-117.

    • J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Deforming composite grids for solving fluid structure problems, J. Comput. Physics, 231 (2012), pp. 3518-3547.

    • D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Study of Detonation Diffraction and Failure for a Model of Compressible Two-Phase Reactive Flow, Combust. Theory and Modeling, 14 (2010), pp. 331-366.

    • William D. Henshaw.
      Encyclopedia of Aerospace Engineering, chapter Adaptive Mesh and Overlapping Grid Methods, pages 623-630.
      Wiley, 2010.

    • K. L. Maki, R. L. Braun, W. D. Henshaw, and P. E. King-Smith.
      Tear film dynamics on an eye-shaped domain I: Pressure boundary conditions.
      Mathematical Medicine and Biology, electronic, 2010.

    • K. L. Maki, R. L. Braun, P. Ucciferro, W. D. Henshaw, and P. E. King-Smith.
      Tear film dynamics on an eye-shaped domain II: Flux boundary conditions.
      Journal of Fluid Mechanics, 647:361-390, 2010.

    • M. A. Singer, W. D. Henshaw, and S. L. Wang.
      Computational modeling of blood flow in the Trapease inferior Vena Cava filter.
      Journal of Vascular and Interventional Radiology, 20:S136-S137, 2009.

    • Jeffrey W. Banks, William D. Henshaw, and John N. Shadid.
      An evaluation of the FCT method for high-speed flows on structured overlapping grids.
      J. Comput. Phys., 228:5349-5369, 2009.
      BanksHenshawShadidOversetFCT2009.pdf.

    • William D. Henshaw and Kyle K. Chand.
      A composite grid solver for conjugate heat transfer in fluid-structure systems.
      J. Comput. Phys., 228:3708-3741, 2009.
      henshawChandCHT2009.pdf.

    • W.D. Henshaw and D.W. Schwendeman, Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement, J. Comput. Physics, 227 (2008), pp. 7469-7502.

    • J.W. Banks, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A study of detonation propagation and diffraction with compliant confinement, Combust. Theory and Modeling, 12 (2008), pp. 769-808.


Course Information

  • Fall semester, 2015


Contact Information

William Henshaw
Department of Mathematical Sciences, AE 304
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180

Phone: (518) 276-2994
Fax: (518) 276-4824
Email: henshw@rpi.edu

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