General Field Evaluation in High-Order Meshes on GPUs - Ketan Mittal; Aditya Parik; Som Dutta; Paul F. Fischer; Tzanio V. Kolev; James Lottes (CoRR, 2025)

Deciphering boundary layer dynamics in high-Rayleigh-number convection using 3360 GPUs and a high-scaling in-situ workflow - Mathis Bode; Damian Alvarez; Paul F. Fischer; Christos E. Frouzakis; Jens Henrik Göbbert; Joseph A. Insley; Yu-Hsiang Lan; Victor A. Mateevitsi; Misun Min; Michael E. Papka; Silvio Rizzi; Roshan J. Samuel; et al. (CoRR, 2025)

Towards exascale for wind energy simulations - Misun Min; Michael J. Brazell; Ananias Tomboulides; Matthew J. Churchfield; Paul F. Fischer; Michael A. Sprague (Int. J. High Perform. Comput. Appl., 2024)

Visuals on the House: Optimizing HPC Workflows with No-Cost CPU Visualization - Victor A. Mateevitsi; Andres Sewell; Mathis Bode; Paul F. Fischer; Jens Henrik Göbbert; Joseph A. Insley; Ioannis Kavroulakis; Damaskinos Konioris; Yu-Hsiang Lan; Misun Min; Dimitrios Papageorgiou; Michael E. Papka; et al. (14th IEEE Symposium on Large Data Analysis and Visualization, LDAV 2024, St Pete Beach, FL, USA, October 13, 2024, 2024)

nekCRF: A next generation high-order reactive low Mach flow solver for direct numerical simulations - Stefan Kerkemeier; Christos E. Frouzakis; Ananias Tomboulides; Paul F. Fischer; Mathis Bode (CoRR, 2024)

Exascale Simulations of Fusion and Fission Systems - Misun Min; Yu-Hsiang Lan; Paul F. Fischer; Elia Merzari; Tri Nguyen; Haomin Yuan; Patrick C. Shriwise; Stefan Kerkemeier; Andrew Davis; Aleksandr Dubas; Rupert Eardly; Rob J. Akers; et al. (CoRR, 2024)

Modeling Turbulence in the Atmospheric Boundary Layer with Spectral Element and Finite Volume Methods - Ananias Tomboulides; Matthew J. Churchfield; Paul F. Fischer; Michael A. Sprague; Misun Min (CoRR, 2024)

Spectral Element Simulation of Liquid Metal Magnetohydrodynamics - Yichen Guo; Paul F. Fischer; Misun Min (CoRR, 2024)

DDES Study of Confined and Unconfined NACA Wing Sections Using Spectral Elements - Vishal Kumar; Ananias Tomboulides; Paul F. Fischer; Misun Min (CoRR, 2024)

Exascale Multiphysics Nuclear Reactor Simulations for Advanced Designs - Elia Merzari; Steven P. Hamilton; Thomas M. Evans; Misun Min; Paul F. Fischer; Stefan Kerkemeier; Jun Fang; Paul K. Romano; Yu-Hsiang Lan; Malachi Phillips; Elliott Biondo; Katherine Royston; et al. (Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, SC 2023, Denver, CO, USA, November 12-17, 2023, 2023)

Scaling Computational Fluid Dynamics: In Situ Visualization of NekRS using SENSEI - Victor A. Mateevitsi; Mathis Bode; Nicola J. Ferrier; Paul F. Fischer; Jens Henrik Göbbert; Joseph A. Insley; Yu-Hsiang Lan; Misun Min; Michael E. Papka; Saumil Patel; Silvio Rizzi; Jonathan Windgassen (Proceedings of the SC '23 Workshops of The International Conference on High Performance Computing, Network, Storage, and Analysis, SC-W 2023, Denver, CO, USA, November 12-17, 2023, 2023)

Software and Analysis for paper: Scaling Computational Fluid Dynamics: In Situ Visualization of NekRS using SENSEI (Version 1) - Victor A. Mateevitsi; Mathis Bode; Nicola J. Ferrier; Paul F. Fischer; Jens Henrik Göbbert; Joseph A. Insley; Yu-Hsiang Lan; Misun Min; Michael E. Papka; Saumil Patel; Silvio Rizzi; Jonathan Windgassen (Zenodo, 2023)
Accessed on YYYY-MM-DD.

Nek5000/RS Performance on Advanced GPU Architectures - Misun Min; Yu-Hsiang Lan; Paul F. Fischer; Thilina Rathnayake; John Holmen (CoRR, 2023)

Scaling Computational Fluid Dynamics: In Situ Visualization of NekRS using SENSEI - Victor A. Mateevitsi; Mathis Bode; Nicola J. Ferrier; Paul F. Fischer; Jens Henrik Göbbert; Joseph A. Insley; Yu-Hsiang Lan; Misun Min; Michael E. Papka; Saumil Patel; Silvio Rizzi; Jonathan Windgassen (CoRR, 2023)

NekRS, a GPU-accelerated spectral element Navier-Stokes solver - Paul F. Fischer; Stefan Kerkemeier; Misun Min; Yu-Hsiang Lan; Malachi Phillips; Thilina Rathnayake; Elia Merzari; Ananias Tomboulides; Ali Karakus; Noel Chalmers; Tim Warburton (Parallel Comput., 2022)

Performance tuning of the Helmholtz matrix-vector product kernel in the computational fluid dynamics solver Nek5000/RS for the A64FX processor - Miwako Tsuji; Misun Min; Stefan Kerkemeier; Paul F. Fischer; Elia Merzari; Mitsuhisa Sato (HPCAsia 2022 Workshop: International Conference on High Performance Computing in Asia-Pacific Region Workshops, Virtual Event Japan, January 11 - 14, 2022, 2022)

Tuning Spectral Element Preconditioners for Parallel Scalability on GPUs - Malachi Phillips; Stefan Kerkemeier; Paul F. Fischer (Proceedings of the 2022 SIAM Conference on Parallel Processing for Scientific Computing, PP 2022, Seattle, WA, USA, February 23-26, 2022, 2022)

Optimization of Full-Core Reactor Simulations on Summit - Misun Min; Yu-Hsiang Lan; Paul F. Fischer; Elia Merzari; Stefan Kerkemeier; Malachi Phillips; Thilina Rathnayake; April Novak; Derek Gaston; Noel Chalmers; Tim Warburton (SC22: International Conference for High Performance Computing, Networking, Storage and Analysis, Dallas, TX, USA, November 13-18, 2022, 2022)

Towards Exascale for Wind Energy Simulations - Misun Min; Michael J. Brazell; Ananias Tomboulides; Matthew J. Churchfield; Paul F. Fischer; Michael A. Sprague (CoRR, 2022)

Optimal Chebyshev Smoothers and One-sided V-cycles - Malachi Phillips; Paul F. Fischer (CoRR, 2022)

Efficient exascale discretizations: High-order finite element methods - Tzanio V. Kolev; Paul F. Fischer; Misun Min; Jack J. Dongarra; Jed Brown; Veselin Dobrev; Tim Warburton; Stanimire Tomov; Mark S. Shephard; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; et al. (Int. J. High Perform. Comput. Appl., 2021)

Multirate timestepping for the incompressible Navier-Stokes equations in overlapping grids - Ketan Mittal; Som Dutta; Paul F. Fischer (J. Comput. Phys., 2021)

GPU algorithms for Efficient Exascale Discretizations - Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Ryan Bleile; Jed Brown; Jean-Sylvain Camier; Robert Carson; Noel Chalmers; Veselin Dobrev; Yohann Dudouit; Paul F. Fischer; Ali Karakus; et al. (Parallel Comput., 2021)

NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver - Paul F. Fischer; Stefan Kerkemeier; Misun Min; Yu-Hsiang Lan; Malachi Phillips; Thilina Rathnayake; Elia Merzari; Ananias Tomboulides; Ali Karakus; Noel Chalmers; Tim Warburton (CoRR, 2021)

All-Hex Meshing Strategies For Densely Packed Spheres - Yu-Hsiang Lan; Paul F. Fischer; Elia Merzari; Misun Min (CoRR, 2021)

Efficient Exascale Discretizations: High-Order Finite Element Methods - Tzanio V. Kolev; Paul F. Fischer; Misun Min; Jack J. Dongarra; Jed Brown; Veselin Dobrev; Tim Warburton; Stanimire Tomov; Mark S. Shephard; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; et al. (CoRR, 2021)

GPU Algorithms for Efficient Exascale Discretizations - Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Ryan Bleile; Jed Brown; Jean-Sylvain Camier; Robert Carson; Noel Chalmers; Veselin Dobrev; Yohann Dudouit; Paul F. Fischer; Ali Karakus; et al. (CoRR, 2021)

Auto-Tuned Preconditioners for the Spectral Element Method on GPUs - Malachi Phillips; Stefan Kerkemeier; Paul F. Fischer (CoRR, 2021)

Scalability of high-performance PDE solvers - Paul F. Fischer; Misun Min; Thilina Rathnayake; Som Dutta; Tzanio V. Kolev; Veselin Dobrev; Jean-Sylvain Camier; Martin Kronbichler; Timothy C. Warburton; Kasia Swirydowicz; Jed Brown (Int. J. High Perform. Comput. Appl., 2020)

Multirate Timestepping for the Incompressible Navier-Stokes Equations in Overlapping Grids - Ketan Mittal; Som Dutta; Paul F. Fischer (CoRR, 2020)

Scalability of High-Performance PDE Solvers - Paul F. Fischer; Misun Min; Thilina Rathnayake; Som Dutta; Tzanio V. Kolev; Veselin Dobrev; Jean-Sylvain Camier; Martin Kronbichler; Tim Warburton; Kasia Swirydowicz; Jed Brown (CoRR, 2020)

Stability analysis of a singlerate and multirate predictor-corrector scheme for overlapping grids - Ketan Mittal; Som Dutta; Paul F. Fischer (CoRR, 2020)

OpenACC acceleration for the PN-PN-2 algorithm in Nek5000 - Evelyn Otero; Jing Gong; Misun Min; Paul F. Fischer; Philipp Schlatter; Erwin Laure (J. Parallel Distributed Comput., 2019)

Mesh Smoothing for the Spectral Element Method - Ketan Mittal; Paul F. Fischer (J. Sci. Comput., 2019)

A Characteristic-Based Spectral Element Method for Moving-Domain Problems - Saumil Patel; Paul F. Fischer; Misun Min; Ananias Tomboulides (J. Sci. Comput., 2019)

Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers - Pedro D. Bello-Maldonado; Paul F. Fischer (SIAM J. Sci. Comput., 2019)

Visualization of the Bulle-Effect at River Bifurcations - Som Dutta; Mark W. Van Moer; Paul F. Fischer; Marcelo H. García (Proceedings of the Practice and Experience on Advanced Research Computing, PEARC 2018, Pittsburgh, PA, USA, July 22-26, 2018, 2018)

Nonconforming Schwarz-Spectral Element Methods For Incompressible Flow - Ketan Mittal; Som Dutta; Paul F. Fischer (CoRR, 2018)

A performance analysis of ensemble averaging for high fidelity turbulence simulations at the strong scaling limit - Vakhtang Makarashvili; Elia Merzari; Aleks Obabko; Andrew R. Siegel; Paul F. Fischer (Comput. Phys. Commun., 2017)

Why is MPI so slow?: analyzing the fundamental limits in implementing MPI-3.1 - Ken Raffenetti; Abdelhalim Amer; Lena Oden; Charles Archer; Wesley Bland; Hajime Fujita; Yanfei Guo; Tomislav Janjusic; Dmitry Durnov; Michael Blocksome; Min Si; Sangmin Seo; et al. (Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, SC 2017, Denver, CO, USA, November 12 - 17, 2017, 2017)

On the Strong Scaling of the Spectral Element Solver Nek5000 on Petascale Systems - Nicolas Offermans; Oana Marin; Michel Schanen; Jing Gong; Paul F. Fischer; Philipp Schlatter; Aleks Obabko; Adam Peplinski; Maxwell Hutchinson; Elia Merzari (CoRR, 2017)

Spectral Element Methods for Liquid Metal Reactors Applications - Elia Merzari; Aleksandr Obabko; Paul F. Fischer (CoRR, 2017)

An MPI/OpenACC implementation of a high-order electromagnetics solver with GPUDirect communication - Matthew Otten; Jing Gong; Azamat Mametjanov; Aaron Vose; John M. Levesque; Paul F. Fischer; Misun Min (Int. J. High Perform. Comput. Appl., 2016)

A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations - Brandon E. Merrill; Yulia T. Peet; Paul F. Fischer; James W. Lottes (J. Comput. Phys., 2016)

Nekbone performance on GPUs with OpenACC and CUDA Fortran implementations - Jing Gong; Stefano Markidis; Erwin Laure; Matthew Otten; Paul F. Fischer; Misun Min (J. Supercomput., 2016)

Parallel performance of h-type Adaptive Mesh Refinement for Nek5000 - Adam Peplinski; Paul F. Fischer; Philipp Schlatter (Proceedings of the Exascale Applications and Software Conference 2016, Stockholm, Sweden, April 26-29, 2016, 2016)

On the Strong Scaling of the Spectral Element Solver Nek5000 on Petascale Systems - Nicolas Offermans; Oana Marin; Michel Schanen; Jing Gong; Paul F. Fischer; Philipp Schlatter (Proceedings of the Exascale Applications and Software Conference 2016, Stockholm, Sweden, April 26-29, 2016, 2016)

OpenACC acceleration of the Nek5000 spectral element code - Stefano Markidis; Jing Gong; Michael Schliephake; Erwin Laure; Alistair Hart; David Henty; Katherine Heisey; Paul F. Fischer (Int. J. High Perform. Comput. Appl., 2015)

Evaluation of Parallel Communication Models in Nekbone, a Nek5000 Mini-Application - Ilya Ivanov; Jing Gong; Dana Akhmetova; Ivy Bo Peng; Stefano Markidis; Erwin Laure; Rui Machado; Mirko Rahn; Valeria Bartsch; Alistair Hart; Paul F. Fischer (2015 IEEE International Conference on Cluster Computing, CLUSTER 2015, Chicago, IL, USA, September 8-11, 2015, 2015)

Nek5000 with OpenACC - Jing Gong; Stefano Markidis; Michael Schliephake; Erwin Laure; Dan S. Henningson; Philipp Schlatter; Adam Peplinski; Alistair Hart; Jens Doleschal; David Henty; Paul F. Fischer (Solving Software Challenges for Exascale - International Conference on Exascale Applications and Software, EASC 2014, Stockholm, Sweden, April 2-3, 2014, Revised Selected Papers, 2014)

Spectral-element discontinuous Galerkin lattice Boltzmann simulation of flow past two cylinders in tandem with an exponential time integrator - Kalu Chibueze Uga; Misun Min; Taehun Lee; Paul F. Fischer (Comput. Math. Appl., 2013)

Stabilization of the Spectral Element Method in Convection Dominated Flows by Recovery of Skew-Symmetry - Johan Malm; Philipp Schlatter; Paul F. Fischer; Dan S. Henningson (J. Sci. Comput., 2013)

An Efficient High-Order Time Integration Method for Spectral-Element Discontinuous Galerkin Simulations in Electromagnetics - Misun Min; Paul F. Fischer (J. Sci. Comput., 2013)

Stability Analysis of Interface Temporal Discretization in Grid Overlapping Methods - Yulia T. Peet; Paul F. Fischer (SIAM J. Numer. Anal., 2012)

Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System - Luigi C. Berselli; Paul F. Fischer; Traian Iliescu; Tamay M. Özgökmen (J. Sci. Comput., 2011)

Bridging the Boussinesq and primitive equations through spatio-temporal filtering - Jinqiao Duan; Paul F. Fischer; Traian Iliescu; Tamay M. Özgökmen (Appl. Math. Lett., 2010)

Speeding up Nek5000 with autotuning and specialization - Jaewook Shin; Mary W. Hall; Jacqueline Chame; Chun Chen; Paul F. Fischer; Paul D. Hovland (Proceedings of the 24th International Conference on Supercomputing, 2010, Tsukuba, Ibaraki, Japan, June 2-4, 2010, 2010)

A spectral Galerkin method for the coupled Orr-Sommerfeld and induction equations for free-surface MHD - Dimitrios Giannakis; Paul F. Fischer; Robert Rosner (J. Comput. Phys., 2009)

A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations - Khosro Shahbazi; Paul F. Fischer; C. Ross Ethier (J. Comput. Phys., 2007)

Fourier spectral simulations and Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle - Misun Min; Tae-Woo Lee; Paul F. Fischer; Stephen K. Gray (J. Comput. Phys., 2006)

Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): Object-oriented h-adaptive fluid dynamics simulation - Duane Rosenberg; Aimé Fournier; Paul F. Fischer; Annick Pouquet (J. Comput. Phys., 2006)

Large-Eddy Simulation of the Lid-Driven Cubic Cavity Flow by the Spectral Element Method - Roland Bouffanais; Michel O. Deville; Paul F. Fischer; Emmanuel Leriche; Daniel Weill (J. Sci. Comput., 2006)

Hybrid Multigrid/Schwarz Algorithms for the Spectral Element Method - James W. Lottes; Paul F. Fischer (J. Sci. Comput., 2005)

An All-Hex Meshing Strategy for Bifurcation Geometries in Vascular Flow Simulation - Chaman Singh Verma; Paul F. Fischer; Seung E. Lee; Francis Loth (Proceedings of the 14th International Meshing Roundtable, IMR 2005, September 11-14, 2005, San Diego, CA, USA, 2005)

A Schwarz Preconditioner for the Cubed-Sphere - Stephen J. Thomas; John M. Dennis; Henry M. Tufo; Paul F. Fischer (SIAM J. Sci. Comput., 2003)

Spectral Element Methods for Transitional Flows in Complex Geometries - Paul F. Fischer; Gerald W. Kruse; Francis Loth (J. Sci. Comput., 2002)

Fast Parallel Direct Solvers for Coarse Grid Problems - Henry M. Tufo; Paul F. Fischer (J. Parallel Distributed Comput., 2001)

Generalized scans and tridiagonal systems - Paul F. Fischer; Franco P. Preparata; John E. Savage (Theor. Comput. Sci., 2001)

Solving A x\underline x = b\underline b Using a Modified Conjugate Gradient Method Based on Roots of A - Paul F. Fischer; Sigal Gottlieb (J. Sci. Comput., 2000)

Numerical Simulation and Immersive Visualization of Hairpin Vortices - Henry M. Tufo; Paul F. Fischer; Michael E. Papka; Kristopher J. Blom (Proceedings of the ACM/IEEE Conference on Supercomputing, SC 1999, November 13-19, 1999, Portland, Oregon, USA, 1999)

Terascale Spectral Element Algorithms and Implementations - Henry M. Tufo; Paul F. Fischer (Proceedings of the ACM/IEEE Conference on Supercomputing, SC 1999, November 13-19, 1999, Portland, Oregon, USA, 1999)

Modified Conjugate Gradient Method for the Solution of Ax=b - Sigal Gottlieb; Paul F. Fischer (J. Sci. Comput., 1998)

Generalized Scans and Tri-Diagonal Systems - Paul F. Fischer; Franco P. Preparata; John E. Savage (STACS 95, 12th Annual Symposium on Theoretical Aspects of Computer Science, Munich, Germany, March 2-4, 1995, Proceedings, 1995)

Numerical simulation of incompressible fluid flows - George Anagnostou; Yvon Maday; Anthony T. Patera; Paul F. Fischer; Einar M. Rønquist (Concurr. Pract. Exp., 1991)

Numerical Simulation of Incompressible Fluid Flows - George Anagnostou; Paul F. Fischer; Yvon Maday; Einar M. Rønquist; Anthony T. Patera (Supercomputer'90: Anwendungen, Architekturen, Trends, Seminar, Mannheim, 21.-23. Juni 1990, Proceedings, 1990)