Jeffrey W. Banks

Jeffrey W. Banks

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

 Phone: (925) 424-6373
 banks20@llnl.gov

 

Academic Background

  1. B.S., 2002, Mathematics of Computation, Rensselaer Polytechnic Institute, Troy, NY.
  2. M.S., 2002,Mathematics, Rensselaer Polytechnic Institute, Troy, NY.
  3. Ph.D., 2006, Applied Mathematics, Rensselaer Polytechnic Institute, Troy, NY. Professors Donald Schwendeman and Ashwani Kapila, advisors.

Appointments

  1. 2009-present, Staff Member, Center For Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA.
  2. 2008-2009, Postdoctoral Fellow, Center For Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA.
  3. 2007, Instructor, Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM.
  4. 2006-2008, Postdoctoral Fellow, Computational Sciences Research Institute, Sandia National Laboratory, Albuquerque, NM.
  5. 2005-2006, Research Assistant, Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY.
  6. 2004,2005, Summer Intern, Center For Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA.
  7. 2003-2005, VIGRE Fellow, Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY.
  8. 2002-2003, RPI Fellow, Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY.

Research Interests

In a broad sense, I am interested in simulations of time evolving partial differential equations (PDE) where linear or nonlinear wave phenomena play a central role. My research centers around the development and analysis of highly accurate and efficient algorithms for numerical simulation. Motivating examples include high-speed fluid dynamics, solid mechanics, electromagnetics, plasma physics and fluid-structure interaction.

I am the primary developer of the LOKI code for plasma physics. This is a high-order accurate solver for the kinetic Vlasov equation in 2-space and 2-velocity dimensions plus time. The code is highly scalable using MPI and is routinely run on the LLNL supercomputers.

I am a member of the Overture team developing an object-oriented parallel framework for solving PDEs in complex moving geometry. The CG (Composite-Grid) suite of PDE solvers is freely available from OvertureFramework.org.

In 2012 I was awarded the Presidential Early Career Award for Scientists and Engineers (PECASE) and had the thrill of going to the White House.

Curriculum Vitae

Google Scholar page

Journal Articles

[top]
  1. J. W. Banks.
    A note on the convergence of Godunov type methods for shock reflection problems.
    Comput. Math. Appl., 66(1):19-23, 2013.
    publications/GodunovConvergence_CAMWA2013.pdf.
  2. B. J. Winjum, R. L. Berger, T. Chapman, J. W. Banks, and S. Brunner.
    Kinetic simulations of the self focusing and dissipation of finite-width electron plasma waves.
    Phys. Rev. Lett., 111:105002, 2013.
    publications/VlasovSelfFocus_PRL2013.pdf.
  3. J. W. Banks, J. A. F. Hittinger, J. M. Connors, and C. S. Woodward.
    A posteriori error estimation via nonlinear error transport with application to shallow water.
    586:35-42, 2013.
    publications/ErrorShallowWarter_CONM2013.pdf.
  4. J. W. Banks and T. D. Aslam.
    On richardson extrapolation and linearly degenerate discontinuities.
    J. Sci. Comput., 57(1):1-18, 2013.
    publications/RichardsonExtrapolation_JSC2013.pdf.
  5. J. W. Banks, W. D. Henshaw, and B. Sjögreen.
    A stable fsi algorithm for light rigid bodies in compressible flow.
    J. Comput. Phys., 245:399-430, 2013.
    publications/lightRigidBodies_JCP2013.pdf.
  6. J. Connors, J. W. Banks, J. Hittinger, and C. Woodward.
    A method to calculate numerical errors using adjoint error estimation for linear advection.
    SIAM J. Numer. Anal., 51(2):894-926, 2013.
    publications/adjointError_SINUM2013.pdf.
  7. J.A.F. Hittinger and J.W. Banks.
    Block-structured adaptive mesh refinement algorithms for vlasov simulation.
    J. Comput. Phys., 241:118 - 140, 2013.
    publications/VlasovAMR_JCP2013.pdf.
  8. B. Sjögreen and J. W. Banks.
    Stability of finite diference discretizations of multi-physics interface conditions.
    Commun. Comput. Phys., 13:386-410, 2013.
    publications/FSI_energy_estimates_CiCP2013.pdf.
  9. D. J. Strozzi, E. A. Williams, H. A. Rose, D. E. Hinkel, A. B. Langdon, and J. W. Banks.
    Threshold for electron trapping nonlinearity in langmuir waves.
    Physics of Plasmas, 19(11):112306, 2012.
    publications/bouncePaper_POP2012.pdf.
  10. J. W. Banks and W. D. Henshaw.
    Upwind schemes for the wave equation in second-order form.
    J. Comput. Phys., 231(17):5854-5889, 2012.
    publications/sosup_JCP2012.pdf.
  11. J. W. Banks, J. A. F. Hittinger, J. M. Connors, and C. S. Woodward.
    Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport.
    Comput. Method. Appl. Mech. Engrg., 213-216:1-15, 2012.
    publications/nonlinearErrorTransport_CMAME2012.pdf.
  12. J. W. Banks, W. D. Henshaw, and D. W. Schwendeman.
    Deforming composite grids for solving fluid structure problems.
    J. Comput. Phys., 231:3518-3547, 2012.
    publications/BanksHenshawSchwendemanDeformingCompositeGrids.pdf.
  13. D. Appelö, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman.
    Numerical methods for solid mechanics on overlapping grids: Linear elasticity.
    J. Comput. Phys., 231(18):6012 - 6050, 2012.
    publications/AppeloBanksHenshawSchwendemanSmog2012.pdf.
  14. J. W. Banks, R. L. Berger, S. Brunner, B. I. Cohen, and J. A. F. Hittinger.
    Two-dimensional Vlasov simulation of electron plasma wave trapping, wavefront bowing, self-focusing, and sideloss.
    Phys. Plasmas, 18(5):052102, 2011.
    publications/Vlasov2D_PoP2011.pdf.
  15. J. W. Banks.
    A note on compressive limiting for two-material flows.
    Int. J. Numer. Meth. Fl., 65:602-608, 2011.
    publications/multiMaterialCompressive_IJNMF2011.pdf.
  16. J. W. Banks and B. Sjögreen.
    A normal mode stability analysis of numerical interface conditions for fluid/structure interaction.
    Commun. Comput. Phys., 10(2):279-304, 2011.
    publications/FSI_normalMode_CiCP2011.pdf.
  17. Jeffrey W. Banks and Jeffrey A. F. Hittinger.
    A new class of non-linear, finite-volume methods for Vlasov simulation.
    IEEE T. Plasma. Sci., 38(9):2198-2207, 2010.
    publications/Vlasov_IEEE2010.pdf.
  18. J. W. Banks.
    On exact conservation for the Euler equations with complex equations of state.
    Commun. Comput. Phys., 8(5):995-1015, 2010.
    publications/exactConservation_CiCP2010.pdf.
  19. J. N. Shadid, R. P. Pawlowski, J. W. Banks, L. Chacón, P. T. Lin, and R. S. Tuminaro.
    Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods.
    J. Comput. Phys., 229:7649-7671, 2010.
    publications/implicitMHD_JCP2010.pdf.
  20. J. W. Banks, W. D. Henshaw, and J. N. Shadid.
    An evaluation of the fct method for high-speed flows on structured overlapping grids.
    J. Comput. Phys., 228(15):5349 - 5369, 2009.
    publications/oversetFCT_JCP2009.pdf.
  21. J. W. Banks and J. N. Shadid.
    An euler system source term that develops prototype Z-pinch implosions intended for the evaluation of shock-hydro methods.
    Int. J. Numer. Meth. Fl., 61(7):725-751, 2009.
    publications/magneticDrive_IJNMF2009.pdf.
  22. J. W. Banks, T. Aslam, and W. J. Rider.
    On sub-linear convergence for linearly degenerate waves in capturing schemes.
    J. Comput. Phys., 227(14):6985-7002, 2008.
    publications/sublinearContacts_JCP2008.pdf.
  23. J. W. Banks, W. D. Henshaw, D. W. Schwendeman, and A. K. Kapila.
    A study of detonation propagation and diffraction with compliant confinement.
    Combust. Theor. Model., 12(4):769-808, 2008.
    publications/multiMaterialRXN_CTM2008.pdf.
  24. J. W. Banks, D. W. Schwendeman, A. K. Kapila, and W. D. Henshaw.
    A high-resolution Godunov method for compressible multi-material flow on overlapping grids.
    J. Comput. Phys., 223:262-297, 2007.
    publications/multiMaterial_JCP2007.

Book Chapters, Book Editor

[top]
  1. J. W. Banks and J. N. Shadid.
    An evaluation of a structured overlapping grid implementation of fct for high-speed flows.
    In D. Kuzmin, R. Löner, and S. Turek, editors, Flux-Corrected Transport, pages 399-446. Springer, 2012.
    publications/FCTBookChapter.pdf.