David Michael Williams
机构: Assistant Professor in Mechanical Engineering, Pennsylvania State University
主页: psu.edu
每年引用次数
引用次数
引用: 595
H-指数: 12
I10-指数 : 15
出版物: 30
Energy stable flux reconstruction schemes for advection-diffusion problems
P. Castonguay , D.M. Williams , P.E. Vincent , A. Jameson
Computer Methods in Applied Mechanics and Engineering 267 400 -417
58
2013
Energy stable flux reconstruction schemes for advection-diffusion problems on triangles
D.M. Williams , P. Castonguay , P.E. Vincent , A. Jameson
Journal of Computational Physics 250 53 -76
52
2013
On stagnation pressure increases in calorically perfect, ideal gases
D.M. Williams , D.S. Kamenetskiy , P.R. Spalart
International Journal of Heat and Fluid Flow 58 40 -53
6
2016
Symmetric quadrature rules for simplexes based on sphere close packed lattice arrangements
D.M. Williams , L. Shunn , A. Jameson
Journal of Computational and Applied Mathematics 266 ( 1) 18 -38
31
2014
On the Development of a High-Order, Multi-GPU Enabled, Compressible Viscous Flow Solver for Mixed Unstructured Grids
Patrice Castonguay , David Williams , Peter Vincent , Manuel López
20th AIAA Computational Fluid Dynamics Conference 2011
34
2011
An extension of energy stable flux reconstruction to unsteady, non-linear, viscous problems on mixed grids
David Williams , Patrice Castonguay , Peter Vincent , Antony Jameson
20th AIAA Computational Fluid Dynamics Conference 2011
15
2011
Verification and validation of HiFiLES: A high-order LES unstructured solver on multi-GPU platforms
M Lopez-Morales , Jonathan Bull , Jacob Crabill , Thomas D Economon
32nd AIAA applied aerodynamics conference, Atlanta, Georgia, USA 16 -20
26
2014
Generalized Korn’s inequalities for piecewise 𝐻¹ and 𝐻² vector fields
David Williams , Qingguo Hong
Mathematics of Computation
2
2024
An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations
D Williams
Mathematics of Computation 87 ( 309) 95 -121
21
2018
On the Development of a High-Order
Patrice Castonguay , D Williams , P Vincent , M López
Multi-GPU Enabled, Compressible Viscous Flow Solver for Mixed Unstructured Grids
6
2011
Energy Stable Flux Reconstruction Schemes for Advection–Diffusion Problems on Tetrahedra
D. M. Williams , A. Jameson
Journal of Scientific Computing 59 ( 3) 721 -759
36
2014
Erratum to: Energy Stable Flux Reconstruction Schemes for Advection-Diffusion Problems on Tetrahedra.
DM Williams , Antony Jameson
J. Sci. Comput. 59 ( 3) 760 -760
2
2014
Energy stable high-order methods for simulating unsteady, viscous, compressible flows on unstructured grids
David M Williams ,
Stanford University
22
2013
Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes
David M Williams , Antony Jameson ,
21st AIAA Computational Fluid Dynamics Conference
14
2013
Foundations of space-time finite element methods: Polytopes, interpolation, and integration
Cory V Frontin , Gage S Walters , Freddie D Witherden , Carl W Lee
Applied Numerical Mathematics 166 92 -113
2021
A family of symmetric, optimized quadrature rules for pentatopes
David M Williams , Cory V Frontin , Edward A Miller , David L Darmofal
Computers & Mathematics With Applications 80 ( 5) 1405 -1420
3
2020
Versatile mixed methods for the incompressible Navier–Stokes equations
Xi Chen , David M Williams ,
Computers & Mathematics With Applications 80 ( 6) 1555 -1577
3
2020
An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and L 2 stability
David M Williams ,
Numerische Mathematik 141 ( 4) 1079 -1120
10
2019
Surface and hypersurface meshing techniques for space-time finite element methods
Jude T Anderson , David M Williams , Andrew Corrigan ,
Computer-Aided Design 103574 -103574
4
2023
Enabling four-dimensional conformal hybrid meshing with cubic pyramids
Miroslav S Petrov , Todor D Todorov , Gage S Walters , David M Williams
Numerical Algorithms 91 ( 2) 671 -709
4
2022