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Novel methods are presented in this initial study for the fusion of GPU kernels in the artificial compressibility method (ACM), using tensor product elements with constant Jacobians and flux reconstruction. This is made possible through the…

Mathematical Software · Computer Science 2022-01-05 Will Trojak , Rob Watson , Freddie Witherden

This project aims to advance differentiable fluid dynamics for hypersonic coupled flow over porous media, demonstrating the potential of automatic differentiation (AD)-based optimization for end-to-end solutions. Leveraging AD efficiently…

Fluid Dynamics · Physics 2024-07-01 Wenkang Wang , Xuanwei Zhang , Deniz Bezgin , Aaron Buhendwa , Xu Chu , Bernhard Weigand

Graphics processing units (GPU) had evolved from a specialized hardware capable to render high quality graphics in games to a commodity hardware for effective processing blocks of data in a parallel schema. This evolution is particularly…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-26 Luis Cabellos

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

Computation · Statistics 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

Thanks to the computational power of modern cluster machines, numerical simulations can provide, with an unprecedented level of details, new insights into fluid mechanics. However, taking full advantage of this hardware remains challenging…

Fluid Dynamics · Physics 2022-09-14 F. Brogi , S. Bnà , G. Boga , G. Amati , T. Esposti Ongaro , M. Cerminara

Distributed training frameworks, like TensorFlow, have been proposed as a means to reduce the training time of deep learning models by using a cluster of GPU servers. While such speedups are often desirable---e.g., for rapidly evaluating…

Performance · Computer Science 2019-05-07 Shijian Li , Robert J. Walls , Lijie Xu , Tian Guo

We present the Fluid Transport Accelerated Solver, FluTAS, a scalable GPU code for multiphase flows with thermal effects. The code solves the incompressible Navier-Stokes equation for two-fluid systems, with a direct FFT-based Poisson…

Developing efficient GPU kernels can be difficult because of the complexity of GPU architectures and programming models. Existing performance tools only provide coarse-grained suggestions at the kernel level, if any. In this paper, we…

Performance · Computer Science 2020-11-25 Keren Zhou , Xiaozhu Meng , Ryuichi Sai , John Mellor-Crummey

Adaptive finite elements combined with geometric multigrid solvers are one of the most efficient numerical methods for problems such as the instationary Navier-Stokes equations. Yet despite their efficiency, computations remain expensive…

Numerical Analysis · Mathematics 2025-12-23 Manuel Liebchen , Robert Jendersie , Utku Kaya , Christian Lessig , Thomas Richter

We present the implementation and performance of a class of directionally unsplit Riemann-solver-based hydrodynamic schemes on Graphic Processing Units (GPU). These schemes, including the MUSCL-Hancock method, a variant of the MUSCL-Hancock…

Instrumentation and Methods for Astrophysics · Physics 2011-09-05 Hsi-Yu Schive , Ui-Han Zhang , Tzihong Chiueh

Classical simulation of quantum circuits remains indispensable for algorithm development, hardware validation, and error analysis in the noisy intermediate-scale quantum (NISQ) era. However, state-vector simulation faces exponential memory…

We propose a highly versatile computational framework for the simulation of cellular blood flow focusing on extreme performance without compromising accuracy or complexity. The tool couples the lattice Boltzmann solver Palabos for the…

Computational Physics · Physics 2021-07-22 Christos Kotsalos , Jonas Latt , Joel Beny , Bastien Chopard

In this paper a new scalable hydrodynamic code GPUPEGAS (GPU-accelerated PErformance Gas Astrophysic Simulation) for simulation of interacting galaxies is proposed. The code is based on combination of Godunov method as well as on the…

Instrumentation and Methods for Astrophysics · Physics 2013-11-06 Kulikov Igor

We present a scalable solution method based on an alternating direction method of multipliers and graphics processing units (GPUs) for rapidly computing and tracking a solution of alternating current optimal power flow (ACOPF) problem. Such…

Optimization and Control · Mathematics 2021-10-14 Youngdae Kim , Kibaek Kim

The Maximum Flow (Max-Flow) problem is a cornerstone in graph theory and combinatorial optimization, aiming to determine the largest possible flow from a designated source node to a sink node within a capacitated flow network. It has…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Shruthi Kannappan , Ashwina Kumar , Rupesh Nasre

In the paper we discuss the main features of the software package for numerical simulations of the surface water dynamics. We consider an approximation of the shallow water equations together with the parallel technologies for NVIDIA CUDA…

Computational Engineering, Finance, and Science · Computer Science 2017-05-03 Tatyana Dyakonova , Alexander Khoperskov , Sergey Khrapov

Convolutional neural networks (CNNs) have been widely employed in many applications such as image classification, video analysis and speech recognition. Being compute-intensive, CNN computations are mainly accelerated by GPUs with high…

Hardware Architecture · Computer Science 2016-11-09 Dong Wang , Jianjing An , Ke Xu

In this work, we develop a neural-physics solver based on finite volume method (FVM), namely NeuralFVM, for turbulent flows by implementing the standard $k$-$\omega$ model designed for efficient Graphics Processing Unit (GPU) execution. The…

In the fusion community, the use of high performance computing (HPC) has been mostly dominated by heavy-duty plasma simulations, such as those based on particle-in-cell and gyrokinetic codes. However, there has been a growing interest in…

Computational Physics · Physics 2021-06-14 Diogo R. Ferreira

We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim