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In recent years, there is a surge on machine learning applications in industry. Many of them are based on popular AI frameworks like Tensorflow, Torch, Caffe, or MxNet, etc, and are enpowered by accelerator platforms such as GPUs. One…

分布式、并行与集群计算 · 计算机科学 2018-11-14 Guoping Long , Jun Yang , Kai Zhu , Wei Lin

We consider high order, implicit Runge-Kutta schemes to solve time-dependent stiff PDEs on dynamically adapted grids generated by multiresolution analysis for unsteady problems disclosing localized fronts. The multiresolution finite volume…

数值分析 · 数学 2016-04-04 Max Duarte , Richard Dobbins , Mitchell Smooke

Accurate and efficient simulation of fluid-structure interaction (FSI) problems remains a central challenge in computational physics. High-order discontinuous Galerkin (DG) methods offer low numerical errors and excellent scalability on…

流体动力学 · 物理学 2025-12-08 Yingjie Xia , Stefano Colombo , David Huergo , Jiaqing Kou , Yuting Dai , Esteban Ferrer

This work proposes a GPU tensor core approach that encodes the arithmetic reduction of $n$ numbers as a set of chained $m \times m$ matrix multiply accumulate (MMA) operations executed in parallel by GPU tensor cores. The asymptotic running…

分布式、并行与集群计算 · 计算机科学 2020-01-17 Cristóbal A. Navarro , Roberto Carrasco , Ricardo J. Barrientos , Javier A. Riquelme , Raimundo Vega

With the advent of high-performance computing techniques, the data for analysis has grown significantly. Here, graphic processing unit (GPU) based program kernels are discussed to exploit parallelism in the analysis codes specific to…

计算物理 · 物理学 2018-11-07 Gourav Shrivastav , Manish Agarwal

We consider the depth-integrated non-hydrostatic system derived by Yamazaki et al. An efficient formally second-order well-balanced hybrid finite volume finite difference numerical scheme is proposed. The scheme consists of a two-step…

数值分析 · 数学 2018-07-03 C. Escalante , T. Morales de Luna , M. J. Castro

We present a novel, quadrature-based finite element integration method for low-order elements on GPUs, using a pattern we call \textit{thread transposition} to avoid reductions while vectorizing aggressively. On the NVIDIA GTX580, which has…

数学软件 · 计算机科学 2016-07-15 Matthew G. Knepley , Karl Rupp , Andy R. Terrel

The entropy-stable discontinuous Galerkin method for compressible Euler equations with buoyancy is implemented on graphics processing unit (GPU) hardware. We measure the performance of the solver on three-dimensional problems: the rising…

数值分析 · 数学 2026-05-19 Henry Waterhouse , Maciej Waruszewski , Lucas C. Wilcox , Francis X. Giraldo

Efficient simulation of quantum circuits has become indispensable with the rapid development of quantum hardware. The primary simulation methods are based on state vectors and tensor networks. As the number of qubits and quantum gates grows…

量子物理 · 物理学 2024-08-13 Feng Pan , Hanfeng Gu , Lvlin Kuang , Bing Liu , Pan Zhang

We present a way to combine Vlasov and two-fluid codes for the simulation of a collisionless plasma in large domains while keeping full information of the velocity distribution in localized areas of interest. This is made possible by…

等离子体物理 · 物理学 2015-05-20 M. Rieke , T. Trost , R. Grauer

Mesoscopic simulations of hydrocarbon flow in source shales are challenging, in part due to the heterogeneous shale pores with sizes ranging from a few nanometers to a few micrometers. Additionally, the sub-continuum fluid-fluid and…

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

数值分析 · 数学 2019-05-21 Andrew Loeb , Christopher Earls

Incompressibility is a fundamental condition in most fluid models. Accumulation of simulation errors violates it and causes volume loss. Past work suggested correction methods to battle it. These methods, however, are imperfect and in some…

图形学 · 计算机科学 2026-01-21 Zohar Levi

We present a strategy to speed up Runge-Kutta-based ODE simulations of large systems with nearest-neighbor coupling. We identify the cache/memory bandwidth as the crucial performance bottleneck. To reduce the required bandwidth, we…

计算物理 · 物理学 2014-12-02 Mario Mulansky

A discontinuous Galerkin method for the discretization of the compressible Euler equations, the governing equations of inviscid fluid dynamics, on Cartesian meshes is developed for use of Graphical Processing Units via OCCA, a unified…

计算物理 · 物理学 2020-09-01 Andrew C. Kirby , Dimitri J. Mavriplis

Numerical simulation of fluids plays an essential role in modeling many physical phenomena, such as weather, climate, aerodynamics and plasma physics. Fluids are well described by the Navier-Stokes equations, but solving these equations at…

流体动力学 · 物理学 2022-04-27 Dmitrii Kochkov , Jamie A. Smith , Ayya Alieva , Qing Wang , Michael P. Brenner , Stephan Hoyer

This article presents a systematic quantitative performance analysis for large finite element computations on extreme scale computing systems. Three parallel iterative solvers for the Stokes system, discretized by low order tetrahedral…

计算工程、金融与科学 · 计算机科学 2015-11-09 Björn Gmeiner , Markus Huber , Lorenz John , Ulrich Rüde , Barbara Wohlmuth

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

分布式、并行与集群计算 · 计算机科学 2014-12-01 Yu-Hang Tang , George Em Karniadakis

A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the method is for accelerating computational physics calculations where the throughput is bound by memory…

计算工程、金融与科学 · 计算机科学 2020-06-25 Will Trojak , Freddie Witherden

Computational fluid dynamics is both a thriving research field and a key tool for advanced industry applications. The central challenge is to simulate turbulent flows in complex geometries, a compute-power intensive task due to the large…