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In this work, we present two parallel algorithms for the large-scale discrete Fourier transform (DFT) on Tensor Processing Unit (TPU) clusters. The two parallel algorithms are associated with two formulations of DFT: one is based on the…

Mathematical Software · Computer Science 2020-12-15 Tianjian Lu , Yi-Fan Chen , Blake Hechtman , Tao Wang , John Anderson

FISH is a fast and simple ideal magneto-hydrodynamics code that scales to ~10 000 processes for a Cartesian computational domain of ~1000^3 cells. The simplicity of FISH has been achieved by the rigorous application of the operator…

Instrumentation and Methods for Astrophysics · Physics 2011-08-11 R. Kaeppeli , S. C. Whitehouse , S. Scheidegger , U. -L. Pen , M. Liebendoerfer

High-fidelity modeling of turbulent flows is one of the major challenges in computational physics, with diverse applications in engineering, earth sciences and astrophysics, among many others. The rising popularity of high-fidelity…

Fluid Dynamics · Physics 2019-03-06 Arvind Mohan , Don Daniel , Michael Chertkov , Daniel Livescu

As deep learning models scale, their training cost has surged significantly. Due to both hardware advancements and limitations in current software stacks, the need for data efficiency has risen. Data efficiency refers to the effective…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-09 Kun Wu

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems.…

Numerical Analysis · Mathematics 2021-06-21 Stefano Berrone , Alice Raeli

Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which…

Flow-matching-based text-to-speech (TTS) models, such as Voicebox, E2 TTS, and F5-TTS, have attracted significant attention in recent years. These models require multiple sampling steps to reconstruct speech from noise, making inference…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-05 Qixi Zheng , Yushen Chen , Zhikang Niu , Ziyang Ma , Xiaofei Wang , Kai Yu , Xie Chen

We present a parallel implementation of a direct solver for the Poisson's equation on extreme-scale supercomputers with accelerators. We introduce a chunked-pencil decomposition as the domain-decomposition strategy to distribute work among…

Computational Physics · Physics 2020-07-15 Jaber J. Hasbestan , Inanc Senocak

Simulating physical problems involving multi-time scale coupling is challenging due to the need of solving these multi-time scale processes simultaneously. In response to this challenge, this paper proposed an explicit multi-time step…

Computational Engineering, Finance, and Science · Computer Science 2023-09-11 Xiaojing Tang , Dong Wu , Zhengtong Wang , Oskar Haidn , Xiangyu Hu

Phase-field models are widely employed to simulate microstructure evolution during processes such as solidification or heat treatment. The resulting partial differential equations, often strongly coupled together, may be solved by a broad…

Materials Science · Physics 2023-06-23 A. D. Boccardo , M. Tong , S. B. Leen , D. Tourret , J. Segurado

The Cahn-Hilliard-Navier-Stokes (CHNS) equations represent the fundamental building blocks of hydrodynamic phase-field models for multiphase fluid flow dynamics. Due to the coupling between the Navier-Stokes equation and the Cahn-Hilliard…

Numerical Analysis · Mathematics 2021-07-28 Jia Zhao

The deep learning language of choice these days is Python; measured by factors such as available libraries and technical support, it is hard to beat. At the same time, software written in lower-level programming languages like C++ retain…

Computation and Language · Computer Science 2024-08-23 Thamme Gowda , Roman Grundkiewicz , Elijah Rippeth , Matt Post , Marcin Junczys-Dowmunt

While recent approaches, such as the macroscopic forcing method (MFM) or Green's function-based approaches, can be used to compute Reynolds-averaged Navier--Stokes closure operators using forced direct numerical simulations, MFM can also be…

Fluid Dynamics · Physics 2025-10-15 Dana Lynn Ona-Lansigan Lavacot , Jessie Liu , Brandon E. Morgan , Ali Mani

Literate programming - the bringing together of program code and natural language narratives - has become a ubiquitous approach in the realm of data science. This methodology is appealing as well for the domain of Density Functional Theory…

We optimize pipeline parallelism for deep neural network (DNN) inference by partitioning model graphs into $k$ stages and minimizing the running time of the bottleneck stage, including communication. We give practical and effective…

Machine Learning · Computer Science 2024-06-05 Aaron Archer , Matthew Fahrbach , Kuikui Liu , Prakash Prabhu

Simulation of turbulent flows, especially at the edges of clouds in the atmosphere, is an inherently challenging task. Hitherto, the best possible computational method to perform such experiments is the Direct Numerical Simulation (DNS).…

Fluid Dynamics · Physics 2022-08-19 Moumita Bhowmik , Manmeet Singh , Suryachandra Rao , Souvik Paul

Existing Python libraries and tools lack the ability to efficiently compute statistical test results for large datasets in the presence of missing values. This presents an issue as soon as constraints on runtime and memory availability…

Mathematical Software · Computer Science 2025-05-02 Fabian Woller , Lis Arend , Christian Fuchsberger , Markus List , David B. Blumenthal

Solid-state drives (SSDs) are well suited for near-data processing (NDP) because they: (1) store large application datasets, and (2) support three NDP paradigms: in-storage processing (ISP), processing using DRAM in the SSD (PuD-SSD), and…

PyFR is an open-source high-order accurate computational fluid dynamics solver for unstructured grids. It is designed to efficiently solve the compressible Navier-Stokes equations on a range of hardware platforms, including GPUs and CPUs.…

Mathematical Software · Computer Science 2016-07-05 Michael Klemm , Freddie Witherden , Peter Vincent

The advent of modern data processing has led to an increasing tendency towards interdisciplinarity, which frequently involves the importation of different technical approaches. Consequently, there is an urgent need for a unified data…

Machine Learning · Computer Science 2024-06-04 Chen Zhang , Lecheng Jia , Wei Zhang , Ning Wen