Photo of David Williams

David Williams

Assistant Professor


  • Mechanical Engineering

136 Research Building East


Personal or Departmental Website

Research Areas:

Thermal/Fluid Sciences

Interest Areas:

Computational fluid dynamics, external aerodynamics, finite element analysis, high-order methods, and solution-adaptive meshing.




  • BS, Aerospace Engineering, University of Michigan, 2008
  • MS, Aeronautics and Astronautics, Stanford University, 2012
  • Ph D, Aeronautics and Astronautics, Stanford University, 2013


Journal Articles

  • David Michael Williams, 2019, "An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and L2 stability", Numerische Mathematik, 141, (4)
  • Andrew S Wixom, Gage S Walters, Sheri L Martinelli and David Michael Williams, 2019, "Generalized polynomial chaos with optimized quadrature applied to a turbulent boundary layer forced plate", Journal of Computational and Nonlinear Dynamics, 14, (2), pp. 9
  • David Michael Williams, 2018, "An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations", Mathematics of Computation, 87, pp. 95-121
  • David Michael Williams, Dmitry S Kamenetskiy and Philippe R Spalart, 2015, "On stagnation pressure increases in calorically perfect, ideal gases", International Journal of Heat and Fluid Flow, 58, pp. 40-53
  • David Michael Williams, L. Shunn and A. Jameson, 2014, "Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements", Journal of Computational and Applied Mathematics, 266, pp. 18-38
  • David Michael Williams and A. Jameson, 2014, "Energy stable flux reconstruction schemes for advection–diffusion problems on tetrahedra", Journal of Scientific Computing, 59, pp. 721-759
  • P. Castonguay, David Michael Williams, P. E. Vincent and A. Jameson, 2013, "Energy stable flux reconstruction schemes for advection–diffusion problems", Computer Methods in Applied Mechanics and Engineering, 267, pp. 400-417
  • David Michael Williams, P. Castonguay, P. E. Vincent and A. Jameson, 2013, "Energy stable flux reconstruction schemes for advection–diffusion problems on triangles", Journal of Computational Physics, 250, pp. 53-76

Conference Proceedings

Research Projects

Honors and Awards


Service to Penn State:

  • Other, Coordinator, Fluid Dynamics Research Consortium, August 2017 - December 2017

Service to External Organizations:

  • Organizing Conferences and Service on Conference Committees, Committee Member, Fluid Dynamics Technical Committee, American Institute of Aeronautics and Astronautics, February 2019
  • Organizing Conferences and Service on Conference Committees, Co-Organizer, Minisymposium Planning, International Association on Computational Mechanics, October 2018 - April 2019



With more than 60 faculty members, 330 graduate students, and 800 undergraduate students, the Penn State Department of Mechanical Engineering embraces a culture that welcomes individuals with a diversity of backgrounds and expertise. Our faculty and students are innovating today what will impact tomorrow’s solutions to meeting our energy needs, homeland security, biomedical devices, and transportation systems. We offer B.S. degrees in mechanical engineering as well as resident (M.S., Ph.D.) and online (M.S.) graduate degrees in mechanical engineering. See how we’re inspiring change and impacting tomorrow at

Department of Mechanical Engineering

137 Reber Building

The Pennsylvania State University

University Park, PA 16802-4400

Phone: 814-865-2519