Paul F. Fischer

Areas of Work

Fluid Dynamics and Heat Transfer

Computational fluid dynamics

Parallel algorithms

High-performance computing

Spectral and finite element methods

Iterative and direct matrix solvers

SHARP

An interesting conduction problem

Spectral element simulations

More spectral element simulations

Schwarz error animator by Zuki Gottlieb

Turbulence in a Carotid Artery

Turbulence in a Random Array of Spheres

Turbulent Flow in a Rod Bundle

Recent Publications

• A complete list of Paul Fischer's publications

• Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes, Paul Fischer and James Lottes
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• A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations, Paul Fischer, Frederic Hecht, and Yvon Maday
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• Hybrid Multigrid/Schwarz Algorithms for the Spectral Element Method, J.W. Lottes and P.F. Fischer
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• Spectral Element Methods for Transitional Flows, P.F. Fischer, G.W. Kruse, and F. Loth
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• Power Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection, M.R. Paul, M.C. Cross, P.F. Fischer, and H.S. Greenside
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• Filter-based Stabilization of Spectral Element Methods, P.F. Fischer and J.S. Mullen
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• Terascale Spectral Element Algorithms and Implementations, H.M. Tufo and P.F. Fischer.
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• Numerical Simulation and Immersive Visualization of Hairpin Vortices, H.M. Tufo, P.F. Fischer, M.E. Papka, and K. Blom
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• Fast parallel direct solvers for coarse grid problems, H.M. Tufo and P.F. Fischer.
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Pseudocolor plots of axial velocity indicate transition to turbulence in a bundle of seven wire-wrapped pins at Re=14000, based on pin diameter. Uniform flow is specified at the inlet, and the flow is seen to transition within L~(1/2) H/D, where H is the wire pitch. Simulation performed using 32768 processors with the spectral element code Nek5000 on the IBM BG/P at the Argonne Leadership Computing Facility. Computing time provided was through the DOE Office of Science INCITE program. For more information, click on SHARP.