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

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

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

Visuals on the House: Optimizing HPC Workflows with No-Cost CPU Visualization. - Mateevitsi, Victor A.; Sewell, Andres; Bode, Mathis; Fischer, Paul F.; Göbbert, Jens Henrik; Insley, Joseph A.; Kavroulakis, Ioannis; Konioris, Damaskinos; Lan, Yu-Hsiang; Min, Misun; Papageorgiou, Dimitrios; Papka, Michael E.; et al. (2024)

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

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

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

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

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

Exascale Multiphysics Nuclear Reactor Simulations for Advanced Designs. - Merzari, Elia; Hamilton, Steven P.; Evans, Thomas M.; Min, Misun; Fischer, Paul F.; Kerkemeier, Stefan; Fang, Jun; Romano, Paul K.; Lan, Yu-Hsiang; Phillips, Malachi; Biondo, Elliott; Royston, Katherine; et al. (2023)

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

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

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

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

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

Performance tuning of the Helmholtz matrix-vector product kernel in the computational fluid dynamics solver Nek5000/RS for the A64FX processor. - Tsuji, Miwako; Min, Misun; Kerkemeier, Stefan; Fischer, Paul F.; Merzari, Elia; Sato, Mitsuhisa (2022)

Tuning Spectral Element Preconditioners for Parallel Scalability on GPUs. - Phillips, Malachi; Kerkemeier, Stefan; Fischer, Paul F. (2022)

Optimization of Full-Core Reactor Simulations on Summit. - Min, Misun; Lan, Yu-Hsiang; Fischer, Paul F.; Merzari, Elia; Kerkemeier, Stefan; Phillips, Malachi; Rathnayake, Thilina; Novak, April; Gaston, Derek; Chalmers, Noel; Warburton, Tim (2022)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Visualization of the Bulle-Effect at River Bifurcations. - Dutta, Som; Moer, Mark W. Van; Fischer, Paul F.; García, Marcelo H. (2018)

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

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

Why is MPI so slow?: analyzing the fundamental limits in implementing MPI-3.1. - Raffenetti, Ken; Amer, Abdelhalim; Oden, Lena; Archer, Charles; Bland, Wesley; Fujita, Hajime; Guo, Yanfei; Janjusic, Tomislav; Durnov, Dmitry; Blocksome, Michael; Si, Min; Seo, Sangmin; et al. (2017)

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

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

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

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

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

Parallel performance of h-type Adaptive Mesh Refinement for Nek5000. - Peplinski, Adam; Fischer, Paul F.; Schlatter, Philipp (2016)

On the Strong Scaling of the Spectral Element Solver Nek5000 on Petascale Systems. - Offermans, Nicolas; Marin, Oana; Schanen, Michel; Gong, Jing; Fischer, Paul F.; Schlatter, Philipp (2016)

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

Evaluation of Parallel Communication Models in Nekbone, a Nek5000 Mini-Application. - Ivanov, Ilya; Gong, Jing; Akhmetova, Dana; Peng, Ivy Bo; Markidis, Stefano; Laure, Erwin; Machado, Rui; Rahn, Mirko; Bartsch, Valeria; Hart, Alistair; Fischer, Paul F. (2015)

Nek5000 with OpenACC. - Gong, Jing; Markidis, Stefano; Schliephake, Michael; Laure, Erwin; Henningson, Dan S.; Schlatter, Philipp; Peplinski, Adam; Hart, Alistair; Doleschal, Jens; Henty, David; Fischer, Paul F. (2014)

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

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

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

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

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

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

Speeding up Nek5000 with autotuning and specialization. - Shin, Jaewook; Hall, Mary W.; Chame, Jacqueline; Chen, Chun; Fischer, Paul F.; Hovland, Paul D. (2010)

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

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

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

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

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

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

An All-Hex Meshing Strategy for Bifurcation Geometries in Vascular Flow Simulation. - Verma, Chaman Singh; Fischer, Paul F.; Lee, Seung E.; Loth, Francis (2005)

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

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

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

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

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

Numerical Simulation and Immersive Visualization of Hairpin Vortices. - Tufo, Henry M.; Fischer, Paul F.; Papka, Michael E.; Blom, Kristopher J. (1999)

Terascale Spectral Element Algorithms and Implementations. - Tufo, Henry M.; Fischer, Paul F. (1999)

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

Generalized Scans and Tri-Diagonal Systems. - Fischer, Paul F.; Preparata, Franco P.; Savage, John E. (1995)

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

Numerical Simulation of Incompressible Fluid Flows. - Anagnostou, George; Fischer, Paul F.; Maday, Yvon; Rønquist, Einar M.; Patera, Anthony T. (1990)