Efficient exascale discretizations: High-order finite element methods

T Kolev, P Fischer, M Min, J Dongarra… - … Journal of High …, 2021 - journals.sagepub.com
Efficient exploitation of exascale architectures requires rethinking of the numerical
algorithms used in many large-scale applications. These architectures favor algorithms that …

NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements

K Shukla, Z Zou, CH Chan, A Pandey, Z Wang… - Computer Methods in …, 2025 - Elsevier
Multiphysics problems that are characterized by complex interactions among fluid dynamics,
heat transfer, structural mechanics, and electromagnetics, are inherently challenging due to …

Exascale multiphysics nuclear reactor simulations for advanced designs

E Merzari, S Hamilton, T Evans, M Min… - Proceedings of the …, 2023 - dl.acm.org
ENRICO is a coupled application developed under the US Department of Energy's Exascale
Computing Project (ECP) targeting the modeling of advanced nuclear reactors. It couples …

GPU algorithms for efficient exascale discretizations

A Abdelfattah, V Barra, N Beams, R Bleile, J Brown… - Parallel Computing, 2021 - Elsevier
In this paper we describe the research and development activities in the Center for Efficient
Exascale Discretization within the US Exascale Computing Project, targeting state-of-the-art …

High-fidelity simulation of mixing phenomena in large enclosures

V Coppo Leite, E Merzari, J Mao, V Petrov… - Nuclear Science and …, 2024 - Taylor & Francis
In the present work, two large eddy simulations (LESs) of single isothermal jets discharging
into large enclosure facilities are proposed. The geometries and tested flow conditions …

HipBone: A performance-portable graphics processing unit-accelerated C++ version of the NekBone benchmark

N Chalmers, A Mishra, D McDougall… - … Journal of High …, 2023 - journals.sagepub.com
We present hipBone, an open-source performance-portable proxy application for the
Nek5000 (and NekRS) computational fluid dynamics applications. HipBone is a fully GPU …

Physics-informed neural networks for weakly compressible flows using Galerkin–Boltzmann formulation

A Aygun, A Karakus - Physics of Fluids, 2024 - pubs.aip.org
In this work, we study the Galerkin–Boltzmann formulation within a physics-informed neural
network (PINN) framework to solve flow problems in weakly compressible regimes. The …

Towards exascale for wind energy simulations

M Min, M Brazell, A Tomboulides… - … Journal of High …, 2024 - journals.sagepub.com
We examine large-eddy-simulation modeling approaches and computational performance
of two open-source computational fluid dynamics codes for the simulation of atmospheric …

Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations

J Chan, Y Lin, T Warburton - Journal of Computational Physics, 2022 - Elsevier
Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a
semi-discrete entropy inequality under appropriate boundary conditions. In this work, we …

Tuning spectral element preconditioners for parallel scalability on GPUs

M Phillips, S Kerkemeier, P Fischer - … of the 2022 SIAM Conference on Parallel …, 2022 - SIAM
The Poisson pressure solve resulting from the spectral element discretization of the
incompressible Navier-Stokes equation requires fast, robust, and scalable preconditioning …