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In this paper, the discontinuous Galerkin based high-order gas-kinetic schemes (DG-HGKS) are developed for the three-dimensional Euler and Navier-Stokes equations. Different from the traditional discontinuous Galerkin (DG) methods with…

Numerical Analysis · Mathematics 2022-03-01 Yuhang Wang , Liang Pan

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system of nonlinearly…

Numerical Analysis · Mathematics 2013-07-12 A. Mauri , R. Sacco , M. Verri

The High Energy Physics (HEP) experiments, such as those at the Large Hadron Collider (LHC), traditionally consume large amounts of CPU cycles for detector simulations and data analysis, but rarely use compute accelerators such as GPUs. As…

High Energy Physics - Experiment · Physics 2022-03-17 Zhihua Dong , Heather Gray , Charles Leggett , Meifeng Lin , Vincent R. Pascuzzi , Kwangmin Yu

We investigate the high harmonic generation (HHG) from solids by simulating the dynamics of a single active electron in periodic potentials. The corresponding time-dependent Schr\"odinger equations (TDSE) are solved numerically by using…

Atomic Physics · Physics 2016-03-31 Zhong Guan , Xiao-Xin Zhou , Xue-Bin Bian

ALICE (A Large Heavy Ion Experiment) is one of the four major experiments at the Large Hadron Collider (LHC) at CERN. The High Level Trigger (HLT) is an online compute farm which reconstructs events measured by the ALICE detector in…

Instrumentation and Detectors · Physics 2019-08-14 David Rohr , Sergey Gorbunov , Volker Lindenstruth

The expedient design of precision components in aerospace and other high-tech industries requires simulations of physical phenomena often described by partial differential equations (PDEs) without exact solutions. Modern design problems…

Computational Physics · Physics 2018-01-11 Daniel J Magee , Kyle E Niemeyer

A time-dependent formulation for electron-hole excitations in extended finite systems, based on the Bethe-Salpeter equation (BSE), is developed using a stochastic wave function approach. The time-dependent formulation builds on the…

Materials Science · Physics 2015-02-11 Eran Rabani , Roi Baer , Daniel Neuhauser

Modern heterogeneous computing architectures, which couple multi-core CPUs with discrete many-core GPUs (or other specialized hardware accelerators), enable unprecedented peak performance and energy efficiency levels. Unfortunately, though,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-20 Daniel Castro , Paolo Romano , Aleksandar Ilic , Amin M. Khan

GPU accelerators have had a notable impact on high-performance computing across many disciplines. They provide high performance with low cost/power, and therefore have become a primary compute resource on many of the largest supercomputers.…

Computational Physics · Physics 2019-10-02 R. M. Caplan , J. A. Linker , Z. Mikić , C. Downs , T. Török , V. S. Titov

Significant new challenges are continuously confronting the High Energy Physics (HEP) experiments, in particular the two detectors at the Large Hadron Collider (LHC) at CERN, where nominal conditions deliver proton-proton collisions to the…

Instrumentation and Detectors · Physics 2013-10-24 V. Halyo , A. Hunt , P. Jindal , P. LeGresley , P. Lujan

A general {\it ab-initio} and non-perturbative method to solve the time-dependent Schr\"odinger equation (TDSE) for the interaction of a strong attosecond laser pulse with a general atom, i.e., beyond the models of quasi-one-electron or…

Atomic Physics · Physics 2016-11-17 X. Guan , O. Zatsarinny , K. Bartschat , B. I. Schneider , J. Feist , C. J. Noble

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

Computational Physics · Physics 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

This paper describes the main features of a pioneering unsteady solver for simulating ideal two-fluid plasmas on unstructured grids, taking profit of GPGPU (General-purpose computing on graphics processing units). The code, which has been…

Applications that exploit the architectural details of high-performance computing (HPC) systems have become increasingly invaluable in academia and industry over the past two decades. The most important hardware development of the last…

Mathematical Software · Computer Science 2020-05-15 Daniel J. Magee , Anthony S. Walker , Kyle E. Niemeyer

This paper presents a p-adaptive high-order hybridizable discontinuous Galerkin spectral element method (HDG-SEM) for solving the Poisson equation in electrostatic plasma simulations using particle-in-cell (PIC) schemes. This approach…

Computational Physics · Physics 2026-04-06 Tobias Ott , Stephen Copplestone , Marcel Pfeiffer

We address in this thesis the current need to design new parallel algorithms and tools that ease the development of geodynamic modelling applications that are suited for today's and tomorrow's hardware. We present (1) the MATLAB HPC…

Geophysics · Physics 2022-07-19 Samuel Omlin , Ludovic Räss , Benjamin Malvoisin , Yury Y. Podladchikov

Specialized image processing accelerators are necessary to deliver the performance and energy efficiency required by important applications in computer vision, computational photography, and augmented reality. But creating,…

Software Engineering · Computer Science 2016-11-01 Jing Pu , Steven Bell , Xuan Yang , Jeff Setter , Stephen Richardson , Jonathan Ragan-Kelley , Mark Horowitz

With the emergence of new high-performance computing (HPC) accelerators, such as Nvidia and AMD GPUs, efficiently targeting diverse hardware architectures has become a major challenge for HPC application developers. The increasing hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-27 Måns I. Andersson , Martin Karp , Niclas Jansson , Stefano Markidis

The recent trend of using Graphics Processing Units (GPU's) for high performance computations is driven by the high ratio of price performance for these units, complemented by their cost effectiveness. At first glance, computational fluid…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 Kiril S. Shterev

This work describes the development of matrix-free GPU-accelerated solvers for high-order finite element problems in $H(\mathrm{div})$. The solvers are applicable to grad-div and Darcy problems in saddle-point formulation, and have…

Numerical Analysis · Mathematics 2024-11-22 Will Pazner , Tzanio Kolev , Panayot Vassilevski