46 citations · 221 across the 14 of their papers we have counts for
15 papers
Delta Redistribution: a variation of State Redistribution for steady-state embedded boundary computations
Marsha Berger, Andrew Giuliani
We present an algorithm for handling the small cell problem in Cartesian cut cell grids. The advantage of this variation is that it preserves the base scheme's steady state exactly…
Bayesian optimization of stellarator alpha-particle confinement using data-informed parameter spaces and dimensionality reduction
Matt Landreman, Michael Czekanski, Andrew Giuliani +2
Modern stellarators are typically designed by optimizing the shape of the plasma boundary surface, with the parameters taken to be Fourier amplitudes. Many promising optimization a…
Optimized filtering for pulse-shape based pile-up rejection applied to search with Mo
V. Berest, M. Buchynska, P. Carniti +13
Pile-up events, arising from the partial or complete temporal overlap of distinct signals, represent a major challenge in many areas of experimental physics where rare or low-rate…
Direct stellarator coil design using global optimization: application to a comprehensive exploration of quasi-axisymmetric devices
Andrew Giuliani
Many stellarator coil design problems are plagued by multiple minima, where the locally optimal coil sets can sometimes vary substantially in performance. As a result, solving a co…
A new provably stable weighted state redistribution algorithm
Marsha Berger, Andrew Giuliani
We propose a practical finite volume method on cut cells using state redistribution. Our algorithm is provably monotone, total variation diminishing, and GKS stable in many situati…
Direct stellarator coil optimization for nested magnetic surfaces with precise quasi-symmetry
Andrew Giuliani, Florian Wechsung, Antoine Cerfon +2
We present a robust optimization algorithm for the design of electromagnetic coils that generate vacuum magnetic fields with nested flux surfaces and precise quasi-symmetry. The me…
Direct computation of magnetic surfaces in Boozer coordinates and coil optimization for quasi-symmetry
Andrew Giuliani, Florian Wechsung, Matt Landreman +2
We propose a new method to compute magnetic surfaces that are parametrized in Boozer coordinates for vacuum magnetic fields. We also propose a measure for quasi-symmetry on the com…
Stochastic and a posteriori optimization to mitigate coil manufacturing errors in stellarator design
Florian Wechsung, Andrew Giuliani, Matt Landreman +2
It was recently shown in [Wechsung et. al., Proc. Natl. Acad. Sci. USA, 2022] that there exist electromagnetic coils that generate magnetic fields which are excellent approximation…
A Weighted State Redistribution Algorithm for Embedded Boundary Grids
Andrew Giuliani, Ann S. Almgren, John B. Bell +3
State redistribution is an algorithm that stabilizes cut cells for embedded boundary grid methods. This work extends the earlier algorithm in several important ways. First, state r…
Single-stage gradient-based stellarator coil design: stochastic optimization
Florian Wechsung, Andrew Giuliani, Matt Landreman +2
We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account coil manufacturing errors. By m…
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids
Andrew Giuliani
We propose a state redistribution method for high order discontinuous Galerkin methods on curvilinear embedded boundary grids. State redistribution relaxes the overly restrictive C…
Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry
Andrew Giuliani, Florian Wechsung, Antoine Cerfon +2
We present a new coil design paradigm for magnetic confinement in stellarators. Our approach directly optimizes coil shapes and coil currents to produce a vacuum quasi-symmetric ma…
A state redistribution algorithm for finite volume schemes on cut cell meshes
Marsha Berger, Andrew Giuliani
In this paper we develop a new technique, called \textit{state redistribution}, that allows the use of explicit time stepping when approximating solutions to hyperbolic conservatio…
Discontinuous Galerkin methods on graphics processing units for nonlinear hyperbolic conservation laws
Martin Fuhry, Andrew Giuliani, Lilia Krivodonova
We present a novel implementation of the modal discontinuous Galerkin (DG) method for hyperbolic conservation laws in two dimensions on graphics processing units (GPUs) using NVIDI…
Edge coloring in unstructured CFD codes
Andrew Giuliani, Lilia Krivodonova
We propose a way of preventing race conditions in the evaluation of the surface integral contribution in discontinuous Galerkin and finite volume flow solvers by coloring the edges…