Photo of David Williams

David Williams

Assistant Professor

Affiliation(s):

  • Mechanical Engineering

136 Research Building East

dmw72@psu.edu

814-863-2944

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.

 
 

 

Education

Publications

Journal Articles

  • David M Williams and Qingguo Hong, 2024, "Generalized Korn's inequalities for piecewise H2 vector fields", Mathematics of Computation
  • Jude T Anderson, David M Williams and Andrew Corrigan, 2023, "Surface and hypersurface meshing techniques for space-time finite element methods", Computer-Aided Design, 163, pp. 1-16
  • Edward A Miller, Xi Chen and David M Williams, 2022, "Versatile mixed methods for non-isothermal incompressible flows", Computers and Mathematics with Applications, 125, (1), pp. 150-175
  • Miroslav Petrov, Todor Todorov, Gage S Walters, David M Williams and Freddie D Witherden, 2022, "Enabling four-dimensional conformal hybrid meshing with cubic pyramids", Numerical Algorithms, pp. 1-39
  • Cory V Frontin, Gage S Walters, Freddie D Witherden, Carl W Lee, David M Williams and David L Darmofal, 2021, "Foundations of space-time finite element methods: polytopes, interpolation, and integration", Applied Numerical Mathematics, 166, pp. 92-113
  • Karthik Ganeshan and David M Williams, 2021, "An implicit discontinuous Galerkin finite element discrete Boltzmann method for high Knudsen number flows", Physics of Fluids, 33, (3), pp. 032019
  • David M Williams and Gage S Walters, 2020, "Integration bounds for the regular simplex in n-dimensional space", International Journal of Mathematical Education in Science and Technology, 1, pp. 1-16
  • Xi Chen and David Michael Williams, 2020, "Versatile mixed methods for the incompressible Navier-Stokes equations", Computers and Mathematics with Applications, 80, pp. 1555-1577
  • David M Williams, Cory V Frontin, Edward A Miller and David L Darmofal, 2020, "A family of symmetric, optimized quadrature rules for pentatopes", Computers and Mathematics with Applications, 80, pp. 1405-1420
  • David Michael Williams, 2019, "An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and L2 stability", Numerische Mathematik, 141, pp. 1079-1120
  • 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, pp. 1-9
  • 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

Service to Penn State:

Service to External Organizations:

  • Organizing Conferences and Service on Conference Committees, Administrator, Computational Fluid Dynamics (CFD) Conference Administrative Organizer, American Institute of Aeronautics and Astronautics, September 2021 - May 2022
  • Organizing Conferences and Service on Conference Committees, Chairperson, CFD Conference Organizer, American Institute of Aeronautics and Astronautics, September 2020 - May 2021
  • 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, March 2019 - April 2019
 


 

About

With more than 60 faculty members, 330 graduate students, and 1,000 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 me.psu.edu.

Department of Mechanical Engineering

137 Reber Building

The Pennsylvania State University

University Park, PA 16802-4400

Phone: 814-865-2519