





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

Research
 Interests:
 Numerical algorithms for solving partial differential equations,
 Highorder accurate methods,
 Approximations for adaptive and overlapping grids,
 Incompressible and compressible fluid flows, fluidstructure 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 secondorder form.
J. Comput. Phys., 269:108137, 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., 268:399416, 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):58545889, 2013.
BanksHenshawSjogreenFSIforLightRigidBodies2012.pdf.

Jeffrey W. Banks and William D. Henshaw.
Upwind schemes for the wave equation in secondorder form.
J. Comput. Phys., 231(17):58545889, 2012.
BanksHenshawSOSUP2012.pdf.

Andrea Lani, Björn Sjögreen, H. C. Yee, and William D. Henshaw.
Variable highorder multiblock overlapping grid methods for mixed
steady and unsteady multiscale viscous flows, part II: hypersonic
nonequilibrium flows.
Commun. Comput. Phys., 13(2):583602, 2012.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Hybrid TwoPhase Mixture Model of Detonation Diffraction with Compliant Confinement, Comptes Rendus Mathematique, 340 (2012), 804817.
 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), 60126050.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A comparative study of two macroscale models of condensedphase explosives, IMA J. Applied Math., 77 (2012), 217.
 M. Ozlem, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A numerical study of shockinduced cavity collapse, Shock Waves, 22 (2012), 89117.
 J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Deforming composite grids for solving fluid structure problems, J. Comput. Physics, 231 (2012), pp. 35183547.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A Study of Detonation Diffraction and Failure for a Model of Compressible TwoPhase Reactive Flow, Combust. Theory and Modeling, 14 (2010), pp. 331366.

William D. Henshaw.
Encyclopedia of Aerospace Engineering, chapter Adaptive Mesh
and Overlapping Grid Methods, pages 623630.
Wiley, 2010.

K. L. Maki, R. L. Braun, W. D. Henshaw, and P. E. KingSmith.
Tear film dynamics on an eyeshaped 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. KingSmith.
Tear film dynamics on an eyeshaped domain II: Flux boundary
conditions.
Journal of Fluid Mechanics, 647:361390, 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:S136S137, 2009.

Jeffrey W. Banks, William D. Henshaw, and John N. Shadid.
An evaluation of the FCT method for highspeed flows on structured
overlapping grids.
J. Comput. Phys., 228:53495369, 2009.
BanksHenshawShadidOversetFCT2009.pdf.

William D. Henshaw and Kyle K. Chand.
A composite grid solver for conjugate heat transfer in
fluidstructure systems.
J. Comput. Phys., 228:37083741, 2009.
henshawChandCHT2009.pdf.
 W.D. Henshaw and D.W. Schwendeman, Parallel computation of threedimensional flows using overlapping grids with adaptive mesh refinement, J. Comput. Physics, 227 (2008), pp. 74697502.
 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. 769808.


Course Information
 Spring semester, 2014
 MATH 4820 An Introduction to Numerical Methods for Differential Equations


Contact Information
William Henshaw
Department of Mathematical Sciences, AE 304
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180
Phone: (518) 2762994
Fax: (518) 2764824
Email: henshw@rpi.edu



