76 citations · 276 across the 15 of their papers we have counts for
16 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…
An Energy Stable Approach for Discretizing Hyperbolic Equations with Nonconforming Discontinuous Galerkin Methods
Jeremy E. Kozdon, Lucas C. Wilcox
When nonconforming discontinuous Galerkin methods are implemented for hyperbolic equations using quadrature, exponential energy growth can result even when the underlying scheme wi…
Acceleration of the Implicit-Explicit Non-hydrostatic Unified Model of the Atmosphere (NUMA) on Manycore Processors
Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu +3
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…
Solving 1D Conservation Laws Using Pontryagin's Minimum Principle
Wei Kang, Lucas C. Wilcox
This paper discusses a connection between scalar convex conservation laws and Pontryagin's minimum principle. For flux functions for which an associated optimal control problem can…
Array Program Transformation with Loo.py by Example: High-Order Finite Elements
Andreas Klöckner, Lucas C. Wilcox, T. Warburton
To concisely and effectively demonstrate the capabilities of our program transformation system Loo.py, we examine a transformation path from two real-world Fortran subroutines as f…
A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves
Ruichao Ye, Maarten de Hoop, Christopher Petrovitch +2
We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Disco…
Strong Scaling for Numerical Weather Prediction at Petascale with the Atmospheric Model NUMA
Andreas Müller, Michal A. Kopera, Simone Marras +3
Numerical weather prediction (NWP) has proven to be computationally challenging due to its inherent multiscale nature. Currently, the highest resolution NWP models use a horizontal…
Mitigating the Curse of Dimensionality: Sparse Grid Characteristics Method for Optimal Feedback Control and HJB Equations
Wei Kang, Lucas C. Wilcox
We address finding the semi-global solutions to optimal feedback control and the Hamilton--Jacobi--Bellman (HJB) equation. Using the solution of an HJB equation, a feedback optimal…
Stable Coupling of Nonconforming, High-Order Finite Difference Methods
Jeremy E. Kozdon, Lucas C. Wilcox
A methodology for handling block-to-block coupling of nonconforming, multiblock summation-by-parts finite difference methods is proposed. The coupling is based on the construction…
Recursive Algorithms for Distributed Forests of Octrees
Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox +1
The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applicat…
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method
Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh +1
This paper discusses the computation of derivatives for optimization problems governed by linear hyperbolic systems of partial differential equations (PDEs) that are discretized by…