Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Wilcox, Lucas"'
Cut meshes are a type of mesh that is formed by allowing embedded boundaries to "cut" a simple underlying mesh resulting in a hybrid mesh of cut and standard elements. While cut meshes can allow complex boundaries to be represented well regardless of
Externí odkaz:
http://arxiv.org/abs/2404.06630
Publikováno v:
In Journal of Computational Physics 15 January 2025 521 Part 1
Autor:
Waruszewski, Maciej, Kozdon, Jeremy E., Wilcox, Lucas C., Gibson, Thomas H., Giraldo, Francis X.
In this work a non-conservative balance law formulation is considered that encompasses the rotating, compressible Euler equations for dry atmospheric flows. We develop a semi-discretely entropy stable discontinuous Galerkin method on curvilinear mesh
Externí odkaz:
http://arxiv.org/abs/2110.15920
Autor:
Sridhar, Akshay, Tissaoui, Yassine, Marras, Simone, Shen, Zhaoyi, Kawczynski, Charles, Byrne, Simon, Pamnany, Kiran, Waruszewski, Maciej, Gibson, Thomas H., Kozdon, Jeremy E., Churavy, Valentin, Wilcox, Lucas C., Giraldo, Francis X., Schneider, Tapio
We introduce ClimateMachine, a new open-source atmosphere modeling framework using the Julia language to be performance portable on central processing units (CPUs) and graphics processing units (GPUs). ClimateMachine uses a common framework both for
Externí odkaz:
http://arxiv.org/abs/2110.00853
Publikováno v:
J Sci Comput 87, 85 (2021)
We present a hybridization technique for summation-by-parts finite difference methods with weak enforcement of interface and boundary conditions for second order, linear elliptic partial differential equations. The method is based on techniques from
Externí odkaz:
http://arxiv.org/abs/2002.00116
Publikováno v:
Journal of Computational Physics, 392, 483-510 (2019)
The Galerkin difference (GD) basis is a set of continuous, piecewise polynomials defined using a finite difference like grid of degrees of freedom. The one dimensional GD basis functions are naturally extended to multiple dimensions using the tensor
Externí odkaz:
http://arxiv.org/abs/1806.06103
Autor:
Chan, Jesse, Wilcox, Lucas C.
We construct entropy conservative and entropy stable high order accurate discontinuous Galerkin (DG) discretizations for time-dependent nonlinear hyperbolic conservation laws on curvilinear meshes. The resulting schemes preserve a semi-discrete quadr
Externí odkaz:
http://arxiv.org/abs/1805.10934
Autor:
Waruszewski, Maciej, Kozdon, Jeremy E., Wilcox, Lucas C., Gibson, Thomas H., Giraldo, Francis X.
Publikováno v:
In Journal of Computational Physics 1 November 2022 468
Autor:
Kozdon, Jeremy E., Wilcox, Lucas C.
Publikováno v:
J Sci Comput 76, 1742-1784 (2018)
When nonconforming discontinuous Galerkin methods are implemented for hyperbolic equations using quadrature, exponential energy growth can result even when the underlying scheme with exact integration does not support such growth. Using linear elasti
Externí odkaz:
http://arxiv.org/abs/1706.00513
Autor:
Abdi, Daniel S., Giraldo, Francis X., Constantinescu, Emil M., Carr III, Lester E., Wilcox, Lucas C., Warburton, Timothy C.
We present the acceleration of an IMplicit-EXplicit (IMEX) non-hydrostatic atmospheric model on manycore processors such as GPUs and Intel's MIC architecture. IMEX time integration methods sidestep the constraint imposed by the Courant-Friedrichs-Lew
Externí odkaz:
http://arxiv.org/abs/1702.04316