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The solution of computational fluid dynamics problems is one of the most computationally hard tasks, especially in the case of complex geometries and turbulent flow regimes. We propose to use Tensor Train (TT) methods, which possess…

This work presents the GPU acceleration of the open-source code CaNS for very fast massively-parallel simulations of canonical fluid flows. The distinct feature of the many-CPU Navier-Stokes solver in CaNS is its fast direct solver for the…

Fluid Dynamics · Physics 2021-02-15 Pedro Costa , Everett Phillips , Luca Brandt , Massimiliano Fatica

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…

Exascale computing enables high-fidelity simulations of chemically reactive flows in practical geometries and conditions, and paves the way for valuable insights that can optimize combustion processes, ultimately reducing emissions and…

Computational Physics · Physics 2024-09-11 Stefan Kerkemeier , Christos E. Frouzakis , Ananias G. Tomboulides , Paul Fischer , Mathis Bode

Mesoscopic simulations of hydrocarbon flow in source shales are challenging, in part due to the heterogeneous shale pores with sizes ranging from a few nanometers to a few micrometers. Additionally, the sub-continuum fluid-fluid and…

Computational Physics · Physics 2019-09-13 Yidong Xia , Ansel Blumers , Zhen Li , Lixiang Luo , Yu-Hang Tang , Joshua Kane , Hai Huang , Matthew Andrew , Milind Deo , Jan Goral

This paper presents transient numerical simulations of hydraulic systems in engineering applications using the spectral element method (SEM). Along with a detailed description of the underlying numerical method, it is shown that the SEM…

Computational Physics · Physics 2017-10-24 Jan-Frederik Mennemann , Lukas Marko , Jakob Schmidt , Wolfgang Kemmetmüller , Andreas Kugi

We introduce CaLES, a GPU-accelerated finite-difference solver designed for large-eddy simulations (LES) of incompressible wall-bounded flows in massively parallel environments. Built upon the existing direct numerical simulation (DNS)…

Fluid Dynamics · Physics 2024-11-18 Maochao Xiao , Alessandro Ceci , Pedro Costa , Johan Larsson , Sergio Pirozzoli

Mixed-precision computing has the potential to significantly reduce the cost of exascale computations, but determining when and how to implement it in programs can be challenging. In this article, we propose a methodology for enabling…

Mathematical Software · Computer Science 2025-07-02 Yanxiang Chen , Pablo de Oliveira Castro , Paolo Bientinesi , Niclas Jansson , Roman Iakymchuk

We present large-eddy-simulation (LES) modeling approaches for the simulation of atmospheric boundary layer turbulence that are of direct relevance to wind energy production. In this paper, we study a GABLS benchmark problem using…

Computational Engineering, Finance, and Science · Computer Science 2024-10-02 Ananias Tomboulides Matthew Churchfield , Paul Fischer , Michael Sprague , Misun Min

Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics processing units (GPUs). However, the computational performance of such…

Computational Physics · Physics 2016-04-20 Axel Modave , Amik St-Cyr , Tim Warburton

We examine large-eddy-simulation modeling approaches and computational performance of two open-source computational fluid dynamics codes for the simulation of atmospheric boundary layer (ABL) flows that are of direct relevance to wind…

Computational Engineering, Finance, and Science · Computer Science 2022-10-04 Misun Min , Michael Brazell , Ananias Tomboulides , Matthew Churchfield , Paul Fischer , Michael Sprague

We present a GPU-accelerated version of the real-space SPARC electronic structure code for performing hybrid functional calculations in generalized Kohn-Sham density functional theory. In particular, we develop a batch variant of the…

Computational Physics · Physics 2025-01-29 Xin Jing , Abhiraj Sharma , John E. Pask , Phanish Suryanarayana

We present the Fluid Transport Accelerated Solver, FluTAS, a scalable GPU code for multiphase flows with thermal effects. The code solves the incompressible Navier-Stokes equation for two-fluid systems, with a direct FFT-based Poisson…

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

Earth system models (ESM) demand significant hardware resources and energy consumption to solve atmospheric chemistry processes. Recent studies have shown improved performance from running these models on GPU accelerators. Nonetheless,…

This article considers the NURBS-Enhanced Finite Element Method (NEFEM) applied to the compressible Navier-Stokes equations. NEFEM, in contrast to conventional finite element formulations, utilizes a NURBS-based computational domain…

Numerical Analysis · Mathematics 2019-04-12 Michel Make , Norbert Hosters , Marek Behr , Stefanie Elgeti

This paper explores strategies to transform an existing CPU-based high-performance computational fluid dynamics solver, HyPar, for compressible flow simulations on emerging exascale heterogeneous (CPU+GPU) computing platforms. The…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Youngdae Kim , Debojyoti Ghosh , Emil M. Constantinescu , Ramesh Balakrishnan

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

Current climate change has posed a grand challenge in the field of numerical modeling due to its complex, multiscale dynamics. In hydrological modeling, the increasing demand for high-resolution, real-time simulations has led to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Johansell Villalobos , Daniel Caviedes-Voullième , Silvio Rizzi , Esteban Meneses

Algorithmic formulations of GPU programs provide a high-level alternative to device-specific code by expressing computations as compositions of well-defined parallel primitives (e.g., map, sort, reduce), rather than through handcrafted GPU…

Computational Physics · Physics 2026-04-21 Raphael Maggio-Aprile , Maxime Rambosson , Christophe Coreixas , Jonas Latt