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We present PhasorFlow, an open-source Python library introducing a computational paradigm operating on the $S^1$ unit circle. Inputs are encoded as complex phasors $z = e^{i\theta}$ on the $N$-Torus ($\mathbb{T}^N$). As computation proceeds…

Machine Learning · Computer Science 2026-03-19 Dibakar Sigdel , Namuna Panday

Hardware-aware design and optimization is crucial in exploiting emerging architectures for PDE-based computational fluid dynamics applications. In this work, we study optimizations aimed at acceleration of OpenFOAM-based applications on…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-29 Amani AlOnazi , David Keyes , Alexey Lastovetsky , Vladimir Rychkov

Fourier transforms are an often necessary component in many computational tasks, and can be computed efficiently through the fast Fourier transform (FFT) algorithm. However, many applications involve an underlying continuous signal, and a…

Mathematical Software · Computer Science 2022-09-27 Eric Bezzam , Sepand Kashani , Paul Hurley , Martin Vetterli , Matthieu Simeoni

Particle-laden flows occur in a wide range of disciplines, from atmospheric flows to renewable energy to turbomachinery. They generally pose a challenging environment for the numerical prediction of particle-induced phenomena due to their…

Computational Physics · Physics 2023-05-17 Patrick Kopper , Anna Schwarz , Stephen M. Copplestone , Philip Ortwein , Stephan Staudacher , Andrea Beck

The data science community today has embraced the concept of Dataframes as the de facto standard for data representation and manipulation. Ease of use, massive operator coverage, and popularization of R and Python languages have heavily…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-06 Niranda Perera , Supun Kamburugamuve , Chathura Widanage , Vibhatha Abeykoon , Ahmet Uyar , Kaiying Shan , Hasara Maithree , Damitha Lenadora , Thejaka Amila Kanewala , Geoffrey Fox

Robust and efficient solvers for coupled-adjoint linear systems are crucial to successful aerostructural optimization. Monolithic and partitioned strategies can be applied. The monolithic approach is expected to offer better robustness and…

Numerical Analysis · Mathematics 2023-09-25 Christophe Blondeau , Mehdi Jadoui

In this paper, we introduce the Python framework PyMGRIT, which implements the multigrid-reduction-in-time (MGRIT) algorithm for solving the (non-)linear systems arising from the discretization of time-dependent problems. The MGRIT…

Mathematical Software · Computer Science 2020-08-13 Jens Hahne , Stephanie Friedhoff , Matthias Bolten

Python demonstrates lower performance in comparison to traditional high performance computing (HPC) languages such as C, C++, and Fortran. This performance gap is largely due to Python's interpreted nature and the Global Interpreter Lock…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-16 César Piñeiro , Juan C. Pichel

No area of computing is hungrier for performance than High Performance Computing (HPC), the demands of which continue to be a major driver for processor performance and adoption of accelerators, and also advances in memory, storage, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-18 Pablo Ouro , Unai Lopez-Novoa , Martyn Guest

We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of the cylindrical fluid domain. The equations of linear…

Numerical Analysis · Mathematics 2015-10-28 Martina Bukac , Suncica Canic , Roland Glowinski , Boris Muha , Annalisa Quaini

High-fidelity simulations of unsteady fluid flow are now possible with advancements in high-performance computing hardware and software frameworks. Since computational fluid dynamics (CFD) computations are dominated by linear algebraic…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Chhote Lal Shah , Sunetra Sarkar

In this work an astrophysical simulation code, XFLAT, is developed to study neutrino oscillations in supernovae. XFLAT is designed to utilize multiple levels of parallelism through MPI, OpenMP, and SIMD instructions (vectorization). It can…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-15 Vahid Noormofidi

It is currently not clear what the potential is of neuromorphic hardware beyond machine learning and neuroscience. In this project, a problem is investigated that is inherently difficult to fully implement in neuromorphic hardware by…

Neural and Evolutionary Computing · Computer Science 2019-12-02 Abdullahi Ali , Johan Kwisthout

The need for accelerating the repeated solving of certain parametrized systems motivates the development of more efficient reduced order methods. The classical reduced basis method is popular due to an offline-online decomposition and a…

Numerical Analysis · Mathematics 2022-07-20 Yanlai Chen , Lijie Ji , Zhu Wang

Systolic arrays and shared-L1-memory manycore clusters are commonly used architectural paradigms that offer different trade-offs to accelerate parallel workloads. While the first excel with regular dataflow at the cost of rigid…

Hardware Architecture · Computer Science 2024-04-25 Sergio Mazzola , Samuel Riedel , Luca Benini

The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environment. This work presents the first nonintrusive implementation…

Numerical Analysis · Mathematics 2020-02-05 Vasileios Tsiolakis , Matteo Giacomini , Ruben Sevilla , Carsten Othmer , Antonio Huerta

Turbulent flow simulation plays a crucial role in various applications, including aircraft and ship design, industrial process optimization, and weather prediction. In this paper, we propose an advanced data-driven method for simulating…

Fluid Dynamics · Physics 2023-06-27 Duc Minh Nguyen , Minh Chau Vu , Tuan Anh Nguyen , Tri Huynh , Nguyen Tri Nguyen , Truong Son Hy

We present a versatile high-level programming-language implementation of nonlinear topology optimization. Our implementation is based on the commercial software package Femlab, and it allows a wide range of optimization objectives to be…

Fluid Dynamics · Physics 2007-05-23 Laurits H. Olesen , Fridolin Okkels , Henrik Bruus

This paper introduces the design and implementation of PyOptInterface, a modeling language for mathematical optimization embedded in Python programming language. PyOptInterface uses lightweight and compact data structure to bridge…

Mathematical Software · Computer Science 2024-05-17 Yue Yang , Chenhui Lin , Luo Xu , Wenchuan Wu

The goal of this study is to develop an efficient numerical algorithm applicable to a wide range of compressible multicomponent flows. Although many highly efficient algorithms have been proposed for simulating each type of the flows, the…

Computational Physics · Physics 2018-10-04 Roman Frolov