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Massively parallel Fourier transforms are widely used in computational sciences, and specifically in computational fluid dynamics which involves unbounded Poisson problems. In practice the latter is usually the most time-consuming operation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-22 Pierre Balty , Philippe Chatelain , Thomas Gillis

FEniCS Mechanics is a Python package to facilitate computational mechanics simulations. The Python library dolfin, from the FEniCS Project, is used to formulate and numerically solve the problem in variational form. The general balance laws…

Computational Engineering, Finance, and Science · Computer Science 2019-01-30 Miguel A. Rodriguez , Christoph M. Augustin , Shawn C. Shadden

One of the current challenges in physically-based simulations, and, more specifically, fluid simulations, is to produce visually appealing results at interactive rates, capable of being used in multiple forms of media. In recent times, a…

Graphics · Computer Science 2024-04-17 Pedro Centeno , João Madeiras Pereira

As heterogeneous supercomputing architectures leveraging GPUs become increasingly central to high-performance computing (HPC), it is crucial for computational fluid dynamics (CFD) simulations, a de-facto HPC workload, to efficiently utilize…

Scalable and efficient numerical simulations continue to gain importance, as computation is firmly established as the third pillar of discovery, alongside theory and experiment. Meanwhile, the performance of computing hardware grows through…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-26 Pietro Incardona , Antonio Leo , Yaroslav Zaluzhnyi , Rajesh Ramaswamy , Ivo F. Sbalzarini

This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. The library provides robust and modular tools to support…

Numerical Analysis · Mathematics 2025-05-21 Stefano Berrone , Andrea Borio , Gioana Teora , Fabio Vicini

We present an efficient implementation for running three-dimensional numerical simulations of fluid-structure interaction problems on single GPUs, based on Nvidia CUDA through Numba and Python. The incompressible flow around moving bodies…

Fluid Dynamics · Physics 2024-12-05 M. Guerrero-Hurtado , J. M. Catalán , M. Moriche , A. Gonzalo , O. Flores

Simulation of fluid flows is crucial for modeling physical phenomena like meteorology, aerodynamics, and biomedicine. Classical numerical solvers often require fine spatiotemporal grids to satisfy stability, consistency, and convergence…

Machine Learning · Computer Science 2025-07-04 Mengtao Yan , Qi Wang , Haining Wang , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Fan Yu , Qi Qi , Hao Sun

PySCF is a general-purpose electronic structure platform designed from the ground up to emphasize code simplicity, both to aid new method development, as well as for flexibility in computational workflow. The package provides a wide range…

Direct Numerical Simulations (DNS) of the Navier Stokes equations is a valuable research tool in fluid dynamics, but there are very few publicly available codes and, due to heavy number crunching, codes are usually written in low-level…

Mathematical Software · Computer Science 2016-07-05 Mikael Mortensen

We present a cross-architecture high-order heterogeneous Navier-Stokes simulation solver, XFluids, for compressible reacting multicomponent flows on different platforms. The multi-component reacting flows are ubiquitous in many scientific…

Computational Physics · Physics 2024-07-11 Jinlong Li , Shucheng Pan

This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (2005) 665--694.],[P.Degond, G. Dimarco, L. Mieussens, A Moving…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Giacomo Dimarco , Luc Mieussens

High-performance computing platforms are becoming more and more heterogeneous, which makes it very difficult for researchers and scientific software developers to keep up with the rapid changes on the hardware market. In this paper, the…

Mathematical Software · Computer Science 2018-09-27 Matthias Möller , Andrzej Jaeschke

Simulating spatiotemporal turbulence with high fidelity remains a cornerstone challenge in computational fluid dynamics (CFD) due to its intricate multiscale nature and prohibitive computational demands. Traditional approaches typically…

Fluid Dynamics · Physics 2024-07-01 Xiantao Fan , Deepak Akhare , Jian-Xun Wang

Ensuring the security and reliability of machine learning frameworks is crucial for building trustworthy AI-based systems. Fuzzing, a popular technique in secure software development lifecycle (SSDLC), can be used to develop secure and…

Cryptography and Security · Computer Science 2024-12-24 Ilya Yegorov , Eli Kobrin , Darya Parygina , Alexey Vishnyakov , Andrey Fedotov

This paper describes the numerical implementation in a high-performance computing environment of an open-source library for model order reduction in fluid dynamics. This library, called pyLOM, contains the algorithms of proper orthogonal…

Machine learning models deployed on edge devices have enabled numerous exciting new applications, such as humanoid robots, AR glasses, and autonomous vehicles. However, the computing resources available on these edge devices are not…

Machine Learning · Computer Science 2024-11-15 Jinjie Liu , Hang Qiu

We outline the development of a general-purpose Python-based data analysis tool for OpenFOAM. Our implementation relies on the construction of OpenFOAM applications that have bindings to data analysis libraries in Python. Double precision…

Computational Physics · Physics 2021-08-13 Romit Maulik , Dimitrios Fytanidis , Bethany Lusch , Venkatram Vishwanath , Saumil Patel

Computational Fluid Dynamics (CFD) simulations are essential for analyzing and optimizing fluid flows in a wide range of real-world applications. These simulations involve approximating the solutions of the Navier-Stokes differential…

Computational fluid dynamics (CFD) drives progress in numerous scientific and engineering fields, yet high-fidelity simulations remain computationally prohibitive. While machine learning approaches offer computing acceleration, they…

Fluid Dynamics · Physics 2025-08-12 Rui Zhang , Qi Meng , Han Wan , Yang Liu , Zhi-Ming Ma , Hao Sun