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The recent evolution of software and hardware technologies is leading to a renewed computational interest in Particle-In-Cell (PIC) methods such as the Material Point Method (MPM). Indeed, provided some critical aspects are properly…

Computational Physics · Physics 2024-12-11 Paolo Joseph Baioni , Tommaso Benacchio , Luigi Capone , Carlo de Falco

In this work we present a proof of concept of CUDA-capable, resistive, multi-fluid models of relativistic magnetohydrodynamics (RMHD). Resistive and multi-fluid codes for simulating models of RMHD suffer from stiff source terms, so it is…

Computational Physics · Physics 2019-01-16 Alex James Wright , Ian Hawke

This work presents a unified fluid modeling framework for reacting flows coupled with nonthermal plasmas (NTPs). Building upon the gas-plasma kinetics solver, ChemPlasKin, and the CFD library, OpenFOAM, the integrated solver, reactPlasFOAM,…

Computational Physics · Physics 2025-08-19 Xiao Shao , Deanna A. Lacoste , Hong G. Im

Optimizing the performance of computational fluid dynamics (CFD) applications accelerated by graphics processing units (GPUs) is crucial for efficient simulations. In this study, we employed a machine learning-based autotuning technique to…

Performance · Computer Science 2024-02-21 Weicheng Xue , Christohper John Roy

Simulating fluid flow around arbitrary shapes is key to solving various engineering problems. However, simulating flow physics across complex geometries remains numerically challenging and computationally resource-intensive, particularly…

Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computational fluid dynamics methods. Starting…

Mathematical Physics · Physics 2010-09-23 Kun Xu , Quanhua Sun , Pubing Yu

Graphics Processing Units (GPUs) can speed up the numerical solution of various problems in astrophysics including the dynamical evolution of stellar systems; the performance gain can be more than a factor 100 compared to using a Central…

Instrumentation and Methods for Astrophysics · Physics 2015-01-28 Mario Spera

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…

Fluid Dynamics · Physics 2022-04-27 Dmitrii Kochkov , Jamie A. Smith , Ayya Alieva , Qing Wang , Michael P. Brenner , Stephan Hoyer

This paper reports large-scale direct numerical simulations of homogeneous-isotropic fluid turbulence, achieving sustained performance of 1.08 petaflop/s on gpu hardware using single precision. The simulations use a vortex particle method…

Numerical Analysis · Computer Science 2012-10-30 R. Yokota , L. A. Barba , T. Narumi , K. Yasuoka

A finite-difference Micromagnetic solver is presented utilizing the C++ Accelerated Massive Parallelism (C++ AMP). The high speed performance of a single Graphics Processing Unit (GPU) is demonstrated compared to a typical CPU-based solver.…

Computational Engineering, Finance, and Science · Computer Science 2014-07-07 Ru Zhu

Realistic reservoir simulation is known to be prohibitively expensive in terms of computation time when increasing the accuracy of the simulation or by enlarging the model grid size. One method to address this issue is to parallelize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Tong Dong Qiu , Andreas Thune , Vinicius Oliveira Martins , Markus Blatt , Alf Birger Rustad , Razvan Nane

Molecular dynamics (MD) simulation is a powerful computational tool to study the behavior of macromolecular systems. But many simulations of this field are limited in spatial or temporal scale by the available computational resource. In…

Computational Physics · Physics 2010-01-22 Ji Xu , Ying Ren , Wei Ge , Xiang Yu , Xiaozhen Yang , Jinghai Li

This work presents GALAEXI as a novel, energy-efficient flow solver for the simulation of compressible flows on unstructured meshes leveraging the parallel computing power of modern Graphics Processing Units (GPUs). GALAEXI implements the…

Mathematical Software · Computer Science 2024-10-14 Daniel Kempf , Marius Kurz , Marcel Blind , Patrick Kopper , Philipp Offenhäuser , Anna Schwarz , Spencer Starr , Jens Keim , Andrea Beck

I present HPRMAT, a high-performance solver library for the linear systems arising in R-matrix coupled-channel scattering calculations in nuclear physics. Designed as a drop-in replacement for the linear algebra routines in existing…

Computational Physics · Physics 2025-12-15 Jin Lei

For computational fluid dynamics (CFD), the generalized Riemann problem (GRP) solver and the gas-kinetic kinetic scheme (GKS) provide a time-accurate flux function starting from a discontinuous piecewise linear flow distributions around…

Numerical Analysis · Mathematics 2016-10-12 Liang Pan , Kun Xu , Qibing Li , Jiequan Li

Stochastic simulation techniques employed for the analysis of portfolios of insurance/reinsurance risk, often referred to as `Aggregate Risk Analysis', can benefit from exploiting state-of-the-art high-performance computing platforms. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-19 A. K. Bahl , O. Baltzer , A. Rau-Chaplin , B. Varghese , A. Whiteway

In this thesis we develop techniques to efficiently solve numerical Partial Differential Equations (PDEs) using Graphical Processing Units (GPUs). Focus is put on both performance and re--usability of the methods developed, to this end a…

Numerical Analysis · Mathematics 2021-01-19 Andrew Gloster

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

Numerical Analysis · Mathematics 2023-12-27 Mina Karimi , Kaushik Bhattacharya

We present implementations of a fourth-order symplectic integrator on graphic processing units for three $N$-body models with long-range interactions of general interest: the Hamiltonian Mean Field, Ring and two-dimensional self-gravitating…

Computational Physics · Physics 2012-12-04 Tarcísio M. Rocha Filho

The discontinuous Galerkin (DG) algorithm is a representative high order method in Computational Fluid Dynamics (CFD) area which possesses considerable mathematical advantages such as high resolution, low dissipation, and dispersion.…

Mathematical Software · Computer Science 2022-09-07 Zhe Dai , Liang D , Yueqin Wang , Fang Wang , Li Ming , Jian Zhang