Margaret A. Darrin Distinguished Professor in Applied Mathematics

Mathematical Sciences

518-276-2994

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.

## 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

## Focus Area

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## Selected Scholarly Works

Jordan Angel and Jeffrey W. Banks and William D. Henshaw and Michael J. Jenkinson and Alexander V. Kildishev and Gregor Kovacic and Ludmila J. Prokopeva and Donald W. Schwendeman, "A High-order Accurate Scheme for Maxwell's Equations with a Generalized Dispersion Model", J. Comput. Phys, 2019.Daniel A. Serino and Jeffrey W. Banks and William D. Henshaw and Donald W. Schwendeman, “A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow", J. Comput. Phys., 2019.

Daniel A. Serino and Jeffrey W. Banks and William D. Henshaw and Donald W. Schwendeman, “A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow: Model problem analysis”, SIAM J. Sci. Comput., 2019.

Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman and Qi Tang, "A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions", J. Comput. Phys, 2018.

Jordan Angel, Jeffrey W. Banks, William D. Henshaw, Michael J. Jenkinson, Alexander V. Kildishev, Gregor Kovacic, Ludmila J. Prokopeva and Donald W. Schwendeman, "A High-order Accurate Scheme for Maxwell's Equations with a Generalized Dispersion Model", J. Comput. Phys, 2018.

"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.

P.M. Blakely and N. Nikiforakis and W.D. Henshaw, General Relativistic Hydrodynamics on Overlapping Curvilinear Grids. Astronomy & Astrophysics, 2015.

Ashwana K. Kapila and Donald W. Schwendeman and J. Gambino and William D. Henshaw. A Numerical Study of the Dynamics of Detonation Initiated by Cavity Collapse, Shock Waves, 2015.

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 solids. J. Comput. Phys., 269:108-137, 2014.

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.

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.

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.

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.