26 citations · 48 across the 2 of their papers we have counts for
10 papers
Large-eddy simulations with ClimateMachine: a new open-source code for atmospheric simulations on GPUs and CPUs
Akshay Sridhar, Yassine Tissaoui, Simone Marras +11
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 pro…
Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to the Euler Equations with Gravity
Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox +2
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-discr…
Hybridized Summation-By-Parts Finite Difference Methods
Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox
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 p…
Fast Mesh Refinement in Pseudospectral Optimal Control
N. Koeppen, I. M. Ross, L. C. Wilcox +1
Mesh refinement in pseudospectral (PS) optimal control is embarrassingly easy --- simply increase the order of the Lagrange interpolating polynomial and the mathematics of conv…
Discretely entropy stable weight-adjusted discontinuous Galerkin methods on curvilinear meshes
Jesse Chan, Lucas C. Wilcox
We construct entropy conservative and entropy stable high order accurate discontinuous Galerkin (DG) discretizations for time-dependent nonlinear hyperbolic conservation laws on cu…
Robust Approaches to Handling Complex Geometries with Galerkin Difference Methods
Jeremy E. Kozdon, Lucas C. Wilcox, Thomas Hagstrom +1
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 fun…