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 | 115 | 2013 |
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 | 88 | 2013 |
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 | 78 | 2011 |
Energy stable flux reconstruction schemes for advection–diffusion problems on tetrahedra DM Williams, A Jameson Journal of Scientific Computing 59, 721-759, 2014 | 70 | 2014 |
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 | 65 | 2014 |
Verification and Validation of HiFiLES: a High-Order LES unstructured solver on multi-GPU platforms MR López, A Sheshadri, JR Bull, TD Economon, J Romero, JE Watkins, ... 32nd AIAA applied aerodynamics conference, 3168, 2014 | 55 | 2014 |
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 | 34 | 2011 |
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 | 24 | 2013 |
Energy stable high-order methods for simulating unsteady, viscous, compressible flows on unstructured grids DM Williams Stanford University, 2013 | 23 | 2013 |
An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations D Williams Mathematics of Computation 87 (309), 95-121, 2018 | 21 | 2018 |
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 | 19 | 2021 |
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 | 15 | 2020 |
An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and stability DM Williams Numerische Mathematik 141 (4), 1079-1120, 2019 | 13 | 2019 |
Versatile mixed methods for the incompressible Navier–Stokes equations X Chen, DM Williams Computers & Mathematics with Applications 80 (6), 1555-1577, 2020 | 12 | 2020 |
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 | 11 | 2016 |
Surface and hypersurface meshing techniques for space–time finite element methods JT Anderson, DM Williams, A Corrigan Computer-Aided Design 163, 103574, 2023 | 9 | 2023 |
An implicit discontinuous Galerkin finite element discrete Boltzmann method for high Knudsen number flows K Ganeshan, DM Williams Physics of Fluids 33 (3), 2021 | 6 | 2021 |
On the Development of a High-Order P Castonguay, D Williams, P Vincent, M López, A Jameson Multi-GPU Enabled, Compressible Viscous Flow Solver for Mixed Unstructured Grids, 2011 | 5 | 2011 |
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 | 4 | 2022 |
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 | 4 | 2019 |