William Henshaw

Margaret A. Darrin Distinguished Professor in Applied Mathematics, Mathematical Sciences

Cylindrical shock impacting and diffracting past 16 cylindersElectromagnetic scattering from an array of dielectric cylinders
Dr. Henshaw is the Margaret A. Darrin Distinguished Professor in Applied Mathematics at Rensselaer Polytechnic Institute.  He earned his B.Math. from the University of Waterloo and Ph.D. in Applied Mathematics from the California Institute of Technology under the supervision of Professor Heinz-Otto Kreiss.  Dr. Henshaw has worked at the IBM T.J. Watson Research Centre, Los Alamos National Laboratory and Lawrence Livermore National Laboratory.  His research interests lie in area of the numerical solution of partial differential equations and in techniques for overlapping grids.  He has worked on the development of stable and accurate algorithms and boundary conditions for the solution of PDEs on overlapping grids including development of adaptive mesh refinement methods, multigrid algorithms, grid generation algorithms, moving grid techniques, multi-domain methods for conjugate heat transfer and fluid structure interactions as well as high-order accurate methods for incompressible flows and Maxwell's equations.  Dr. Henshaw is the primary developer of Overture, an object oriented framework for the solution of PDEs on overlapping grids, www.overtureFramework.org.
Overset grid for a wind turbineTurbulent flow past two spheres

Education

Ph.D. Applied Mathematics, California Institute of Technology, Pasadena, California, 1985

B. Math (Hons) Majoring in Applied Math and Computer Science, University of Waterloo, Waterloo, Ontario, Canada, 1985

Research Focus
  • Numerical methods for PDEs
  • adaptive and overlapping grids
  • incompressible and compressible flows, fluid-structure interactions, solid mechanics and electromagnetics
  • high-order accurate methods
  • Overture framework http://www.OvertureFramework.org
Select Works
  • "CHAMP: A stable partitioned algorithm for conjugate heat transfer", F. Meng, J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Journal of Computational Physics, 2017.
  • "High-order upwind schemes for the wave equation on overlapping grids: Maxwell’s equations in second-order form", J.B. Angel, J.W. Banks, W.D. Henshaw, Journal of Computational Physics, 2017.
  • "A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation", J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Q. Tang, Journal of Computational Physics, 2017.
  • "Direct numerical simulation of particulate flows with an overset grid method ", A.R. Koblitz, S. Lovett, N. Nikiforakis, W.D. Henshaw, Journal of Computational Physics, 2017.
  • Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman and Qi Tang. A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis. J. Comput. Phys., 2017.
  • "A stable, high-order finite difference method for estimating the wave resistance of ships", M. Amini Afshar, H.B. Bingham and W.D. Henshaw, Journal of Computational Physics, 2016.
  • Longfei Li, William D. Henshaw, Jeffrey W. Banks, Donald W. Schwendeman and Geoffrey A. Main. A stable partitioned FSI algorithm for incompressible flow and deforming beams. J. Comput. Phys., 312:272-306, 2016.
  • Jeffrey W. Banks and William D. Henshaw and A.K. Kapila and Donald W. Schwendeman. An Added-Mass Partitioned Algorithm for Fluid-Structure Interactions of Compressible Fluids and Nonlinear Solids, J. Comput. Phys., 305: 1037-1064, 2016.