William D. Henshaw

William D. Henshaw

Applied Mathematician
Lawrence Livermore National Laboratory LLNL
Centre for Applied Scientific Computing CASC
Research Staff Member

 Phone: (925) 479-9048
 henshaw@llnl.gov

 

Academic Background

  1. B.Math (Hons), 1981, majoring in Applied Math and Computer Science, University of Waterloo, Waterloo, Ontario, Canada.
  2. Ph.D., 1985, Applied Mathematics, California Institute of Technology, Pasadena, California, USA. Professor Heinz-Otto Kreiss, advisor.

Appointments

  1. 1998-present, Staff Member, Lawrence Livermore National Laboratory, Livermore, CA, USA.
  2. 1994-1998, Staff Member, Los Alamos National Laboratory, Los Alamos, NM, USA.
  3. 1986-1994, Staff Member, IBM T.J. Watson Research Center, Yorktown Heights, NY, USA.
  4. 1985-1986, Postdoctoral Fellow, California Institute of Technology, Pasadena, CA, USA.

Research Interests

My current research is centered on the development of efficient parallel algorithms for the accurate numerical solution of partial differential equations. My interests are broadly based with efforts in incompressible flows, low-speed and high-speed reactive flows, electromagnetics, solid-mechanics, conjugate heat transfer, fluid-structure interactions, high-order accurate schemes, stable boundary and interface conditions, adaptive algorithms, multigrid algorithms, parallel algorithms and grid generation.

I am the primary developer of the Overture object-oriented parallel framework for solving PDEs in complex moving geometry, and the CG (Composite-Grid) suite of PDE solvers. This software is freely available from OvertureFramework.org. Overture was recognized as one of the top discoveries in the Department of Energy and is used worldwide by researchers and students.

Current applications areas include the aerodynamic simulation of wind turbines and wind farms (working with Siemens and GE), building flows for energy efficiency, explosives modeling, fluid-structure interactions (e.g. blast effects), and damage mitigation in laser optics.

Curriculum Vitae: WDHenshawCV.pdf.

Recent Talks

[top]
  1. W. D. Henshaw.
    Efficient solution of incompressible flows with moving bodies, 2012.
    Talk, University of Delaware, Newark Delaware, November 13, 2012, publications/udel12.pdf.
  2. W. D. Henshaw.
    Solving fluid structure interaction problems on overlapping grids, 2012.
    Talk, MIT Distinguished Speaker Series, Massachusetts Institute of Technology, Cambridge Massachusetts, September 20, 2012, publications/mit12.pdf.
  3. W. D. Henshaw.
    An Overture overview, 2012.
    Talk, Thirteenth DOE ACTS Workshop, Berkeley California, 2012, publications/acts12.pdf, YouTube video of the presentation: http://www.youtube.com/watch?v=c-NLor12kTc&feature=relmfu.
  4. W. D. Henshaw.
    An introduction to overset grids, 2011.
    Talk, 2nd Bay Area Overset Network Meeting, Stanford California, 2011, publications/boan2011.pdf.
  5. W. D. Henshaw.
    Deforming composite grids for fluid structure interactions, 2011.
    Talk presented at the SIAM Conference on Computational Science and Engineering, Reno, Nevada, February 2011, publications/cse11.pdf.
  6. W. D. Henshaw.
    Solving pdes on overlapping grids with Overture, 2010.
    Invited talk at the University of Illinois, Urbana-Champaign, September 2010, publications/uiuc10.pdf.

Journal Articles

[top]
  1. Jeffrey W. Banks, William D. Henshaw, and Björn Sjögreen.
    A stable FSI algorithm for light rigid bodies in compressible flow.
    J. Comput. Phys., page (accepted), 2013.
    publications/BanksHenshawSjogreenFSIforLightRigidBodies2012.pdf.
  2. D. W. Schwendeman, A. K. Kapila, and W. D. Henshaw.
    A hybrid two-phase mixture model of detonation diffraction with compliant confinement.
    Research Report LLNL-JRNL-574872, Lawrence Livermore National Laboratory, 2012.
    Submitted for publication publications/HybridTwoPhaseSchwendemanKapilaHenshaw2012.pdf.
  3. 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.
    publications/BanksHenshawSOSUP2012.pdf.
  4. Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
    Deforming composite grids for solving fluid structure problems.
    J. Comput. Phys., 231(9):3518 - 3547, 2012.
    publications/BanksHenshawSchwendemanDeformingCompositeGrids.pdf.
  5. Daniel Appelö, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
    Numerical methods for solid mechanics on overlapping grids: Linear elasticity.
    J. Comput. Phys., (231):6012-6050, 2012.
    publications/AppeloBanksHenshawSchwendemanSmog2012.pdf.
  6. 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.
  7. M. Ozlem, D. Schwendeman, A. Kapila, and W. Henshaw.
    A numerical study of shock-induced cavity collapse.
    Shock Waves, 22:89-117, 2012.
    publications/OzlemSchwedemanKapilaHenshawShockInducedCavityCollapse2012.pdf.
  8. Donald W. Schwendeman, Ashwana K. Kapila, and William D. Henshaw.
    A comparative study of two macro-scale models of condensed-phase explosives.
    IMA Journal of Applied Math, 77:2-17, 2012.
    publications/SchwendemanKapilaHenshawMacroModels2011.pdf.
  9. T.M. Broering, Y Lian, and W.D. Henshaw.
    Numerical investigation of energy extraction in a tandem flapping wing configuration.
    AIAA Journal, 50(11):2295-2307, 2012.
  10. 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(3):331-366, 2010.
    publications/SchwendemanKapilaHenshawMPRXN2010.pdf.
  11. William D. Henshaw.
    Encyclopedia of Aerospace Engineering, chapter Adaptive Mesh and Overlapping Grid Methods, pages 623-630.
    Wiley, 2010.
  12. 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, 27(3):227-254, 2010.
  13. 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.
  14. 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.
  15. 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.
    publications/BanksHenshawShadidOversetFCT2009.pdf.
  16. 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.
    publications/henshawChandCHT2009.pdf.
  17. William D. Henshaw and Donald W. Schwendeman.
    Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement.
    J. Comput. Phys., 227(16):7469-7502, 2008.
    publications/henshawSchwendemanPOG2008.pdf.
  18. A. K. Kapila, D. W. Schwendeman, J. B. Bdzil, and William D. Henshaw.
    A study of detonation diffraction in the ignition-and-growth model.
    Combustion Theory and Modeling, 11(5):781-822, 2007.
    publications/diffraction5sch.pdf.
  19. Veronica Eliasson, William D. Henshaw, and Daniel Appelö.
    On cylindrically converging shock waves shaped by obstacles.
    Physica D: Nonlinear Phenomena, 237:2203-2209, August 2008.
    publications/EliassonHenshawAppelo2008.pdf.
  20. Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman, and Ashwana K. Kapila.
    A study of detonation propagation and diffraction with compliant confinement.
    Combustion Theory and Modeling, 12(4):769-808, 2008.
    publications/mfRXN.pdf.
  21. Jeffrey W. Banks, Donald W. Schwendeman, Ashwana K. Kapila, and William D. Henshaw.
    A high-resolution Godunov method for compressible multi-material flow on overlapping grids.
    J. Comput. Phys., 223:262-297, 2007.
    publications/mfJWL.pdf.
  22. E.J. Reed, L.E. Fried, W.D. Henshaw, and C.M. Tarver.
    Analysis of simulation technique for steady shock waves in materials with analytical equations of state.
    Physical Review E, 74(5):056706, 2006.
  23. William D. Henshaw.
    A high-order accurate parallel solver for Maxwell's equations on overlapping grids.
    SIAM J. Sci. Comput., 28(5):1730-1765, 2006.
    publications/henshawMaxwell2006.pdf.
  24. William D. Henshaw and Donald W. Schwendeman.
    Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow.
    J. Comput. Phys., 216(2):744-779, 2006.
    publications/mog2005.pdf.
  25. William D. Henshaw.
    On multigrid for overlapping grids.
    SIAM J. Sci. Comput., 26(5):1547-1572, 2005.
    publications/automg.pdf.
  26. William D. Henshaw and Donald W. Schwendeman.
    An adaptive numerical scheme for high-speed reactive flow on overlapping grids.
    J. Comput. Phys., 191:420-447, 2003.
    publications/reactamr.pdf.
  27. William D. Henshaw, H.-O. Kreiss, and J. Yström.
    Numerical experiments on the interaction between the large- and small-scale motions of the Navier-Stokes equations.
    SIAM Journal of Multiscale Modeling and Simulation, 1(1):119-149, 2003.
    publications/HenshawKreissYstromLargeAndSmallScalesNavierStokes2003.pdf.
  28. P. Fast and W. D. Henshaw.
    Applications involving moving grids and adaptive mesh refinement on overset grids.
    AIAA paper 2002-1411, American Institute of Aeronautics and Astronautics, 2002.
    Also available as Lawrence Livermore National Laboratory Report UCRL-JC-147263 DR. (2002).
  29. William D. Henshaw.
    An algorithm for projecting points onto a patched CAD model.
    Engineering with Computers, 18:265-273, 2002.
    publications/HenshawCadProjection2002.pdf.
  30. P. Fast and W. D. Henshaw.
    Time-accurate computation of viscous flow around deforming bodies using overset grids.
    AIAA paper 2001-2604, American Institute of Aeronautics and Astronautics, 2001.
  31. William D. Henshaw.
    Overture: An object-oriented system for solving PDEs in moving geometries on overlapping grids.
    In L. Sakell and D. D. Knight, editors, First AFOSR Conference on Dynamic Motion CFD, June 1996, pages 281-290, 1996.
  32. W. D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna.
    Estimates of the local minimum scale for the incompressible Navier-Stokes equations.
    Numerical Functional Analysis and Optimization, 16(3&4):315-344, 1995.
  33. William D. Henshaw.
    A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids.
    J. Comput. Phys., 113(1):13-25, July 1994.
    publications/icns1994.pdf.
  34. William D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna.
    A fourth-order accurate difference approximation for the incompressible Navier-Stokes equations.
    Comput. Fluids, 23(4):575-593, 1994.
    publications/HenshawKreissReynaFouthOrderINS1994.pdf.
  35. G. S. Chesshire and W. D. Henshaw.
    A scheme for conservative interpolation on overlapping grids.
    SIAM J. Sci. Comput., 15(4):819-845, July 1994.
  36. M. J. Ward, William D. Henshaw, and J. B. Keller.
    Summing logarithmic expansions for strong localized perturbations of linear and nonlinear eigenvalue problems.
    SIAM J. of Applied Math, 53(3):799-828, 1993.
  37. William D. Henshaw, L. G. M. Reyna, and J. A. Zufiria.
    Compressible Navier-Stokes computations for slider air-bearings.
    Journal of Tribology, 113:73-79, 1991.
  38. R. G. Brewer, J. Hoffnagle, R. G. Devoe, L. Reyna, and W. Henshaw.
    Collision-induced two-ion chaos.
    Nature, 344:305-309, 1990.
  39. G. S. Chesshire and W. D. Henshaw.
    Composite overlapping meshes for the solution of partial differential equations.
    J. Comput. Phys., 90(1):1-64, 1990.
    publications/cgns1990.pdf.
  40. William D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna.
    Smallest scale estimates for the incompressible Navier-Stokes equations.
    Arch. Rational Mech. Anal., 112:21-44, 1990.
  41. William D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna.
    On the smallest scale for the incompressible Navier-Stokes equations.
    Theoretical and Computational Fluid Dynamics, 1:65-95, 1989.
  42. William D. Henshaw and G. S. Chesshire.
    Multigrid on composite meshes.
    SIAM J. Sci. Stat. Comput., 8(6):914-923, 1987.
    publications/cgmg1987.pdf.
  43. William D. Henshaw.
    A scheme for the numerical solution of hyperbolic systems of conservation laws.
    J. Comput. Phys., 68:25-47, 1987.
  44. William D. Henshaw, N. F. Smyth, and D. W. Schwendeman.
    Numerical shock propagation using geometrical shock dynamics.
    Journal of Fluid Mechanics, 171:519-545, 1986.

Book Chapters, Book Editor

[top]
  1. William D. Henshaw.
    Encyclopedia of Aerospace Engineering, chapter Adaptive Mesh and Overlapping Grid Methods, pages 623-630.
    Wiley, 2010.
  2. W. D. Henshaw.
    Automatic grid generation.
    Acta Numerica 1996, 5:121-148, 1996.
    publications/autoGrid.pdf.
  3. I. Babuska, J. E. Flaherty, W. D. Henshaw, J. E. Hopcroft, J. E. Oliger, and T. Tezduyar.
    Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations.
    Springer-Verlag, New York, 1995.

Conference papers

[top]
  1. 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.
    paper LLNL-CONF-490192, AIAA, 2011.
  2. K.K. Chand, W.D. Henshaw, K.A. Lundquist, and M.A. Singer.
    CgWind: A high-order accurate simulation tool for wind turbines and wind farms.
    In The Fifth International Symposium on Computational Wind Engineering (CWE2010), 2010.
    (8 pages) publications/cgWindChandHenshawLundquistSinger2010.pdf.
  3. N. Shen, M.J. Matthews, J.E. Fair, J.A. Britten, H.T. Nguyen, J.D. Cooke, S. Elhadj, W.D. Henshaw, G.M. Guss, I.L. Bass, et al.
    Study of CO2 laser smoothing of surface roughness in fused silica.
    In Laser Damage Symposium XLI: Annual Symposium on Optical Materials for High Power Lasers, pages 750411-750411. International Society for Optics and Photonics, 2009.
  4. William D. Henshaw.
    Solving partial differential equations on overlapping grids.
    In Nikolai V. Pogorelov, Edouard Audit, Phillip Colella, and Gary P. Zank, editors, Numerical Modeling of Space Plasma Flows: ASTRONUM - 2008, volume 406, pages 231-236. Astronomical Society of the Pacific, 2009.
    publications/astronum08.pdf.
  5. William D. Henshaw.
    Solving fluid flow problems on moving and adaptive overlapping grids.
    In Anil Deane et al., editors, Parallel Computational Fluid Dynamics, pages 21-30. Elsevier, 2006.
  6. William D. Henshaw.
    Adaptive mesh refinement on overlapping grids.
    Research Report UCRL-PROC-201757, Lawrence Livermore National Laboratory, 2004.
    To appear in Springer Lecture Notes in Computational Sciences and Engineering.
  7. William D. Henshaw and N. Anders Petersson.
    A split-step scheme for the incompressible Navier-Stokes equations.
    pages 108-125, 2003.
    publications/henshawPetersson2001.pdf.
  8. William D. Henshaw.
    Overture: An object-oriented framework for overlapping grid applications.
    Research Report UCRL-JC-147889, Lawrence Livermore National Laboratory, 2002.
    Paper for the 2002 AIAA conference on Applied Aerodynamics, St Louis, MO.
  9. William D. Henshaw.
    Generating composite overlapping grids on CAD geometries.
    Research Report UCRL-JC-147161, Lawrence Livermore National Laboratory, 2002.
    Proceedings of the Eighth International Conference on Numerical Grid Generation in Computational Field Simulations, June 2-6, 2002, Waikiki Beach Marriott Resort, Honolulu, Hawaii, (2002).
  10. William D. Henshaw.
    An algorithm for projecting points onto a patched CAD model.
    Engineering with Computers, 18:265-273, 2002.
    publications/HenshawCadProjection2002.pdf.
  11. D. L. Brown, William D. Henshaw, and Daniel J. Quinlan.
    Overture: Object-oriented tools for overset grid applications.
    Research Report, for the AIAA conference on Applied Aerodynamics UCRL-JC-134018, Lawrence Livermore National Laboratory, 1999.
  12. D. L. Brown, William D. Henshaw, and Daniel J. Quinlan.
    Overture: An object-oriented framework for solving partial differential equations on overlapping grids.
    In Object Oriented Methods for Interoperable Scientific and Engineering Computing, pages 245-255. SIAM, 1999.
  13. D. L. Brown, Geoffrey S. Chesshire, William D. Henshaw, and Daniel J. Quinlan.
    Overture: An object oriented software system for solving partial differential equations in serial and parallel environments.
    In Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997.
  14. D. L. Brown, William D. Henshaw, and Daniel J. Quinlan.
    Overture: An object oriented framework for solving partial differential equations.
    In Scientific Computing in Object-Oriented Parallel Environments, pages 177-194. Springer Lecture Notes in Computer Science, 1343, 1997.
  15. William D. Henshaw.
    Overture: An object-oriented system for solving PDEs in moving geometries on overlapping grids.
    In L. Sakell and D. D. Knight, editors, First AFOSR Conference on Dynamic Motion CFD, June 1996, pages 281-290, 1996.
  16. William D. Henshaw.
    Overture: An object-oriented framework for solving PDEs in moving geometries on overlapping grids using C++.
    In Proceedings of the Third Symposium on Overset Composite Grid and Solution Technology, 1996.
  17. I. Babuska, J. E. Flaherty, W. D. Henshaw, J. E. Hopcroft, J. E. Oliger, and T. Tezduyar.
    Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations.
    Springer-Verlag, New York, 1995.
  18. W. D. Henshaw, G. S. Chesshire, and M. E. Henderson.
    On constructing three dimensional overlapping grids with CMPGRD.
    In R. E. Smith, editor, Software Systems for Surface Modeling and Grid Generation, number 3143 in Conference Publication, pages 415-434. NASA, 1992.
  19. W. D. Henshaw and H.-O. Kreiss.
    A numerical study of the propagation of perturbations in the solutions of the 2D incompressible Navier-Stokes equations.
    In B. Engquist and B. Gustafsson, editors, Third International Conference on Hyperbolic Problems, pages 54-61. Chartwell-Bratt, 1991.
  20. W. D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna.
    On smallest scale estimates and a comparison of the vortex method to the pseudo-spectral method.
    In C. R. Anderson and C. Greengard, editors, Vortex Dynamics and Vortex Methods, pages 303-326. American Mathematical Society, 1991.
  21. D. L. Brown, G. S. Chesshire, William D. Henshaw, and H.-O. Kreiss.
    On composite overlapping grids.
    In T. J. Chung and G. R. Karr, editors, Finite Element Analysis in Fluids, pages 544-559. UAH Press, 1989.