Photo of David Williams

David Williams

Assistant Professor


  • Mechanical and Nuclear Engineering
  • Mechanical Engineering

328 Reber Building


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 M Williams, 2018, "An Entropy Stable, Hybridizable Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations", Mathematics of Computation, 87, pp. 95-121
  • David M 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 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 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 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

  • National Science Foundation Fellowship, NSF, 2008 - 2013
  • Stanford Graduate Fellowship, Stanford University, 2008 - 2013
  • Malloure Scholar, 2004 - 2008
  • Angell Scholar, 2006 - 2008
  • U of M Honors, University of Michigan, 2004 - 2008
  • Undergraduate Achievement Award, 2005 - 2008
  • George Landes Technical Writing Award, 2007
  • New Student Achievement Award, 2004
  • Congressional Bronze Medal, 2004


Service to Penn State:

  • Other, Coordinator, Fluid Dynamics Research Consortium, August 2017 - December 2017
  • Committee Work, Committee Member, ME 320 Fluid Flow Caucus, September 2017 - May 2018
  • Committee Work, Committee Member, Thermal-Fluids Faculty Search, September 2016 - December 2016

Service to External Organizations:




The Department of Mechanical and Nuclear Engineering at Penn State is one of the nation’s largest and most successful engineering departments. We serve more than 1,000 undergraduate students and more than 330 graduate students

We offer B.S. degrees in mechanical engineering and nuclear engineering as well as resident (M.S., Ph.D.) and online (M.S., M.Eng.) graduate degrees in nuclear engineering and mechanical engineering. MNE's strength is in offering hands-on experience in highly relevant research areas, such as energy, homeland security, biomedical devices, and transportation systems.

Department of Mechanical and Nuclear Engineering

137 Reber Building

The Pennsylvania State University

University Park, PA 16802-4400

Phone: 814-865-2519