English
Related papers

Related papers: NekRS, a GPU-Accelerated Spectral Element Navier-S…

200 papers

This paper presents the first gyrokinetic (GK) simulations of edge and scrape-off layer (SOL) turbulence accelerated by a velocity-space spectral approach in the full-f GK code GENE-X. Building upon the original grid velocity-space…

Plasma Physics · Physics 2024-11-15 B. J. Frei , P. Ulbl , J. Trilaksono , F. Jenko

We discuss the use of the Discrete Element Method (DEM) to simulate the dynamics of granular systems made up of elements with nontrivial geometries. The DEM simulator is GPU accelerated and can handle elements whose shape is defined as the…

Computational Engineering, Finance, and Science · Computer Science 2023-07-10 Ruochun Zhang , Colin Vanden Heuvel , Alexander Schepelmann , Arno Rogg , Dimitrios Apostolopoulos , Samuel Chandler , Radu Serban , Dan Negrut

We present a spectral element solver for the steady incompressible Navier-Stokes equations subject to a free surface. Utilizing the kinematic behaviour of the free surface boundary, an iterative pseudo-time procedure is proposed to…

Numerical Analysis · Mathematics 2025-12-30 Simone Minniti , Jens Visbech , Claes Eskilsson , Nicola Parolini , Allan Peter Engsig-Karup

This paper proposes an efficient potential and viscous flow decomposition method for wave-structure interaction simulation with single-phase potential flow wave models and two-phase Computational Fluid Dynamics (CFD) solvers. The potential…

Investigating blood flow in the cardiovascular system is crucial for assessing cardiovascular health. Computational approaches offer some non-invasive alternatives to measure blood flow dynamics. Numerical simulations based on traditional…

Numerical Analysis · Mathematics 2024-06-07 Han Zhang , Raymond Chan , Xue-Cheng Tai

Iterative memory-bound solvers commonly occur in HPC codes. Typical GPU implementations have a loop on the host side that invokes the GPU kernel as much as time/algorithm steps there are. The termination of each kernel implicitly acts the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Lingqi Zhang , Mohamed Wahib , Peng Chen , Jintao Meng , Xiao Wang , Toshio Endo , Satoshi Matsuoka

Heat pipes can efficiently and passively remove heat in nuclear microreactors. Nevertheless, the flow dynamics within heat pipes present a significant challenge in designing and optimizing them for nuclear energy applications. This work…

Fluid Dynamics · Physics 2024-08-06 Carolina Bourdot Dutra , Tri Nguyen , Elia Merzari , Joshua E. Hansel

We present an efficient discontinuous Galerkin scheme for simulation of the incompressible Navier-Stokes equations including laminar and turbulent flow. We consider a semi-explicit high-order velocity-correction method for time integration…

Numerical Analysis · Mathematics 2017-08-15 Benjamin Krank , Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler

Finite element simulations play a critical role in a wide range of applications, from automotive design to tsunami modeling and computational electromagnetics. Performing these simulations efficiently at the high resolutions needed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-13 Jiqun Tu , Ian Karlin , John Camier , Veselin Dobrev , Tzanio Kolev , Stefan Henneking , Omar Ghattas

We show that it is possible to obtain a linear computational cost FEM-based solver for non-stationary Stokes and Navier-Stokes equations. Our method employs a technique developed by Guermond and Minev, which consists of singular…

Numerical Analysis · Mathematics 2020-12-17 Marcin Los , Ignacio Muga , Judit Munoz-Matute , Maciej Paszynski

This work presents a novel three-dimensional Crack Element Method (CEM) designed to model transient dynamic crack propagation in quasi-brittle materials efficiently. CEM introduces an advanced element-splitting algorithm that enables…

Computational Engineering, Finance, and Science · Computer Science 2025-08-07 Yuxi Xie , C. T. Wu , Wei Hu , Lu Xu , Tinh Q. Bui , Shaofan Li

Infrared and Raman spectroscopy are widely used for the characterization of gases, liquids, and solids, as the spectra contain a wealth of information concerning in particular the dynamics of these systems. Atomic scale simulations can be…

Mesoscale and Nanoscale Physics · Physics 2024-08-15 Nan Xu , Petter Rosander , Christian Schäfer , Eric Lindgren , Nicklas Österbacka , Mandi Fang , Wei Chen , Yi He , Zheyong Fan , Paul Erhart

This paper describes in detail the implementation of a finite element technique for solving the compressible Navier-Stokes equations that is provably robust and demonstrates excellent performance on modern computer hardware. The method is…

Numerical Analysis · Mathematics 2022-02-02 Jean-Luc Guermond , Martin Kronbichler , Matthias Maier , Bojan Popov , Ignacio Tomas

Machine learning libraries such as TensorFlow and PyTorch simplify model implementation. However, researchers are still required to perform a non-trivial amount of manual tasks such as GPU allocation, training status tracking, and…

This manuscript introduces an advanced numerical approach for the integration of incompressible Navier-Stokes (NS) equations using a Time Series Expansion (TSE) method within a Finite Element Method (FEM) framework. The technique is…

Numerical Analysis · Mathematics 2025-05-05 Ahmad Deeb , Denys Dutykh

Recent years have witnessed impressive progress in super-resolution (SR) processing. However, its real-time inference requirement sets a challenge not only for the model design but also for the on-chip implementation. In this paper, we…

Hardware Architecture · Computer Science 2023-04-04 Wenqian Zhao , Qi Sun , Yang Bai , Wenbo Li , Haisheng Zheng , Bei Yu , Martin D. F. Wong

This paper presents the benchmarking and scaling studies of a GPU accelerated three dimensional compressible magnetohydrodynamic code. The code is developed keeping an eye to explain the large and intermediate scale magnetic field…

We present a novel property-preserving kernel-based operator learning method for incompressible flows governed by the incompressible Navier--Stokes equations. Traditional numerical solvers incur significant computational costs to respect…

Fluid Dynamics · Physics 2026-04-16 Ramansh Sharma , Matthew Lowery , Houman Owhadi , Varun Shankar

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software…

Computational Engineering, Finance, and Science · Computer Science 2011-07-21 Mikael Mortensen , Hans Petter Langtangen , Garth N. Wells

We analyze two fully time-discrete numerical schemes for the incompressible Navier-Stokes equations posed on evolving surfaces in $\mathbb{R}^3$ with prescribed normal velocity using the evolving surface finite element method (ESFEM). We…

Numerical Analysis · Mathematics 2025-12-15 Charles M. Elliott , Achilleas Mavrakis