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David Michael Williams
David Michael Williams
Assistant Professor in Mechanical Engineering, Pennsylvania State University
Verified email at psu.edu - Homepage
Title
Cited by
Cited by
Year
Energy stable flux reconstruction schemes for advection–diffusion problems
P Castonguay, DM Williams, PE Vincent, A Jameson
Computer Methods in Applied Mechanics and Engineering 267, 400-417, 2013
1032013
Energy stable flux reconstruction schemes for advection–diffusion problems on triangles
DM Williams, P Castonguay, PE Vincent, A Jameson
Journal of Computational Physics 250, 53-76, 2013
832013
On the development of a high-order, multi-GPU enabled, compressible viscous flow solver for mixed unstructured grids
P Castonguay, D Williams, P Vincent, M Lopez, A Jameson
20th AIAA computational fluid dynamics conference, 3229, 2011
742011
Energy stable flux reconstruction schemes for advection–diffusion problems on tetrahedra
DM Williams, A Jameson
Journal of Scientific Computing 59, 721-759, 2014
602014
Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
DM Williams, L Shunn, A Jameson
Journal of Computational and Applied Mathematics 266, 18-38, 2014
542014
An extension of energy stable flux reconstruction to unsteady, non-linear, viscous problems on mixed grids
D Williams, P Castonguay, P Vincent, A Jameson
20th AIAA Computational Fluid Dynamics Conference, 3405, 2011
312011
Verification and validation of HiFiLES: A high-order LES unstructured solver on multi-GPU platforms
M Lopez-Morales, J Bull, J Crabill, TD Economon, D Manosalvas, ...
32nd AIAA applied aerodynamics conference, Atlanta, Georgia, USA, 16-20, 2014
272014
Energy stable high-order methods for simulating unsteady, viscous, compressible flows on unstructured grids
DM Williams
Stanford University, 2013
222013
Nodal points and the nonlinear stability of high-order methods for unsteady flow problems on tetrahedral meshes
DM Williams, A Jameson
21st AIAA Computational Fluid Dynamics Conference, 2830, 2013
222013
An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations
D Williams
Mathematics of Computation 87 (309), 95-121, 2018
202018
Foundations of space-time finite element methods: Polytopes, interpolation, and integration
CV Frontin, GS Walters, FD Witherden, CW Lee, DM Williams, ...
Applied Numerical Mathematics 166, 92-113, 2021
142021
A family of symmetric, optimized quadrature rules for pentatopes
DM Williams, CV Frontin, EA Miller, DL Darmofal
Computers & Mathematics with Applications 80 (5), 1405-1420, 2020
122020
On stagnation pressure increases in calorically perfect, ideal gases
DM Williams, DS Kamenetskiy, PR Spalart
International Journal of Heat and Fluid Flow 58, 40-53, 2016
112016
Versatile mixed methods for the incompressible Navier–Stokes equations
X Chen, DM Williams
Computers & Mathematics with Applications 80 (6), 1555-1577, 2020
102020
An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and stability
DM Williams
Numerische Mathematik 141 (4), 1079-1120, 2019
92019
Surface And Hypersurface Meshing Techniques for Space–Time Finite Element Methods
JT Anderson, DM Williams, A Corrigan
Computer-Aided Design 163, 103574, 2023
42023
Enabling four-dimensional conformal hybrid meshing with cubic pyramids
MS Petrov, TD Todorov, GS Walters, DM Williams, FD Witherden
Numerical Algorithms 91 (2), 671-709, 2022
42022
An implicit discontinuous Galerkin finite element discrete Boltzmann method for high Knudsen number flows
K Ganeshan, DM Williams
Physics of Fluids 33 (3), 2021
42021
Generalized polynomial chaos with optimized quadrature applied to a turbulent boundary layer forced plate
AS Wixom, GS Walters, SL Martinelli, DM Williams
Journal of Computational and Nonlinear Dynamics 14 (2), 021010, 2019
42019
Versatile mixed methods for non-isothermal incompressible flows
EA Miller, X Chen, DM Williams
Computers & Mathematics with Applications 125, 150-175, 2022
22022
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