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Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework for quantum computing of fluid dynamics based on the…

Fluid Dynamics · Physics 2024-01-05 Zhaoyuan Meng , Yue Yang

Graphics processing units have been extensively used to accelerate classical molecular dynamics simulations. However, there is much less progress on the acceleration of force evaluations for many-body potentials compared to pairwise ones.…

Computational Physics · Physics 2017-06-27 Zheyong Fan , Wei Chen , Ville Vierimaa , Ari Harju

Numerical integration of stochastic differential equations is commonly used in many branches of science. In this paper we present how to accelerate this kind of numerical calculations with popular NVIDIA Graphics Processing Units using the…

Computational Physics · Physics 2011-05-31 M. Januszewski , M. Kostur

We discuss an implementation of molecular dynamics (MD) simulations on a graphic processing unit (GPU) in the NVIDIA CUDA language. We tested our code on a modern GPU, the NVIDIA GeForce 8800 GTX. Results for two MD algorithms suitable for…

Other Condensed Matter · Physics 2008-09-10 J. A. van Meel , A. Arnold , D. Frenkel , S. F. Portegies Zwart , R. G. Belleman

In ordinary turbulence research it has been a long standing tradition to solve the equations in spectral space giving the best possible accuracy. This is indeed a natural choice for incompressible problems with periodic boundaries, but it…

Astrophysics · Physics 2009-11-07 A. Brandenburg , W. Dobler

We describe the use of Graphics Processing Units (GPUs) for speeding up the code NBODY6 which is widely used for direct $N$-body simulations. Over the years, the $N^2$ nature of the direct force calculation has proved a barrier for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Keigo Nitadori , Sverre J. Aarseth

The main features of a three dimensional, high-resolution special relativistic hydro code based on relativistic Riemann solvers are described. The capabilities and performance of the code are discussed. In particular, we present the results…

Astrophysics · Physics 2009-10-31 M. A. Aloy , J. M. Ibanez , J. M. Marti , E. Muller

The current paper reports on the implementation of a numerical solver on the Graphic Processing Units (GPU) to model reactive gas mixture with detailed chemical kinetics. The solver incorporates high-order finite volume methods for solving…

Fluid Dynamics · Physics 2011-10-25 H. P. Le , J. -L. Cambier

Large-scale molecular dynamics simulations with high accuracy have been increasingly popular for their capability to bridge the gap between atomistic modeling and mesoscale phenomena. Both machine learning potentials and enhanced sampling…

Computational Physics · Physics 2026-03-24 Haoting Zhang , Qiuhan Jia , Zhennan Zhang , Yijie Zhu , Zhongwei Zhang , Junjie Wang , Jiuyang Shi , Zheyong Fan , Jian Sun

For the problem whether Graphic Processing Unit(GPU),the stream processor with high performance of floating-point computing is applicable to neural networks, this paper proposes the parallel recognition algorithm of Convolutional Neural…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-28 Yi-bin Huang , Kang Li , Ge Wang , Min Cao , Pin Li , Yu-jia Zhang

This work discusses the performance of a modern numerical scheme for fluid dynamical problems on modern high-performance computing architectures. Our code implements a spatial nodal discontinuous Galerkin scheme that we test up to an order…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-08 Filipp Sporykhin , Holger Homann

Graphics Processing Unit (GPU) computing is becoming an alternate computing platform for numerical simulations. However, it is not clear which numerical scheme will provide the highest computational efficiency for different types of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-07 Ben J. Zimmerman , Jonathan D. Regele , Bong Wie

We present the results of gravitational direct $N$-body simulations using the Graphics Processing Unit (GPU) on a commercial NVIDIA GeForce 8800GTX designed for gaming computers. The force evaluation of the $N$-body problem is implemented…

Astrophysics · Physics 2008-11-26 Robert G. Belleman , Jeroen Bedorf , Simon Portegies Zwart

We present the numerical methods, programming methodology, verification, and performance assessment of a non-equilibrium plasma fluid solver that can effectively utilize current and upcoming central processing and graphics processing unit…

Plasma Physics · Physics 2025-07-14 Hariswaran Sitaraman , Nicholas Deak , Taaresh Taneja

The Eulerian fluid simulation is an important HPC application. The neural network has been applied to accelerate it. The current methods that accelerate the fluid simulation with neural networks lack flexibility and generalization. In this…

Machine Learning · Computer Science 2020-08-31 Wenqian Dong , Jie Liu , Zhen Xie , Dong Li

Graphics Processing Unit, or GPUs, have been successfully adopted both for graphic computation in 3D applications, and for general purpose application (GP-GPUs), thank to their tremendous performance-per-watt. Recently, there is a big…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-03 Paolo Burgio

We present an algorithm named "Chamomile Scheme". The scheme is fully optimized for calculating gravitational interactions on the latest programmable Graphics Processing Unit (GPU), NVIDIA GeForce8800GTX, which has (a) small but fast shared…

Astrophysics · Physics 2007-05-23 Tsuyoshi Hamada , Toshiaki Iitaka

Motivated by the physics of the quark-gluon plasma created in heavy-ion collision experiments, we use holography to study the regime of applicability of various theories of relativistic viscous hydrodynamics. Using the microscopic…

High Energy Physics - Theory · Physics 2022-09-23 Hans Bantilan , Yago Bea , Pau Figueras

The use of numerical simulations in science is ever increasing and with it the computational size. In many cases single processors are no longer adequate and simulations are run on multiple core machines or supercomputers. One of the key…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Elad Steinberg , Almog Yalinewich , Re'em Sari , Paul Duffell

Particle methods play an important role in computational fluid dynamics, but they are among the most difficult to implement and solve. The most common method is smoothed particle hydrodynamics, which is suitable for problem settings that…

Fluid Dynamics · Physics 2025-08-26 Masato Shibukawa , Naoya Ozaki , Maximilien Berthet
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