Faculty

Institution

Unit

Venue

Paul Fischer

Professor

University of Illinois Urbana-Champaign

Affiliations

The Grainger College of Engineering

Department of Mechanical Science and Engineering

Siebel School of Computing and Data Science

Paul Fischer is a Professor in the Departments of Computer Science and Mechanical Science & Engineering at the University of Illinois Urbana-Champaign. His research centers on computational fluid dynamics, numerical methods for partial differential equations, and high-performance scientific computing, with a focus on spectral element methods and scalable iterative solvers. He leads the development of the open-source GPU-based code NekRS, applied to turbulent convection, thermal striping in nuclear reactors, and two-phase flows. Recent work includes exascale simulations on DOE leadership computers and reduced-order models for turbulent channel flow. Fischer received the R&D 100 Award for simulation software and collaborates with institutions across the US, Europe, and Asia.

Honors

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Experiences

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Paul Fischer

University of Illinois Urbana-Champaign

Professor

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numerical simulations fluid dynamics computational fluid dynamics fluid mechanics fluid flow applied mathematics numerical analysis engineering scientific computing turbulence modeling computational engineering computer engineering modeling and simulation numerical mathematics unsteady flows numerical algorithms parallel computing numerical method for partial differential equation physics parallel programming partial differential equations turbulent flow heat transfer numerical computation flow physics high performance computer architecture computational mechanics boundary value problems incompressible flow boundary layers multiphysics problems massively-parallel computing thermal engineering spectral theory environmental fluid mechanics semi-implicit method hydrodynamic stability blood flow high performance computing gpu computing fluid science finite element methods method of fundamental solution nuclear energy natural convection nuclear engineering nuclear science large-scale simulations multi-physics modelling unstructured mesh generation large eddy simulation direct numerical simulation nonlinear phenomena vascular surgery parallel processing thermal modeling heat transfer process supercomputer architecture geophysical flows biomedical flows blood flow measurement spectral element method vortex dynamics spectral element methods boundary element methods navier-stokes equations incompressible navier-stokes equations transitional flow stratified mixing schwarz preconditioner rayleigh-bénard convection mesh generation spectral element solution overlapping schwarz method arteriovenous graft strong scaling sparse linear systems heat transfer computational mathematics transport phenomena civil engineering applied mathematical modelling

Notable Scholarly Works

Notable Federal Grants

Collaborators

A High Order Continuous Galerkin Spectrally Stabilized Level-Set Approach for Incompressible Two-Phase Flows. (2025)

Nadish SainiAnanias TomboulidesDillon ShaverPaul F. FischerElia MerzariAleksandr ObabkoDonna P. Guillen

boundary value problemsmultiphase flowsnumerical method for partial differential equationfluid dynamicsnumerical analysisincompressible flowcomputational fluid dynamicssemi-implicit methodfluid mechanicsnumerical mathematicspartial differential equationsincompressible two-phase flowsstabilityapplied mathematicscomputational mechanics

Deciphering Boundary Layer Dynamics in High-Rayleigh-Number Convection Using 3360 Gpus and a High-Scaling In-Situ Workflow. arXiv (Cornell University) (2025)

Bode, MathisAlvarez, DamianFischer, PaulFrouzakis, Christos E.Göbbert, Jens HenrikInsley, Joseph A.Lan, Yu-HsiangMateevitsi, Victor A.Min, MisunPapka, Michael E.Rizzi, SilvioSamuel, Roshan J.Schumacher, Jörg

computer graphicsnumerical simulationsboundary layersturbulence modelingfluid flowfluid dynamicsscientific computingplanetary sciencesnatural convectioncomputational fluid dynamicsturbulent flow heat transferhigh frequencyfluid mechanicsboundary layer dynamicsheat transferthermal convectionvisualizationaerospace engineering

Nek5000/Rs Performance on Advanced GPU Architectures. Frontiers in High Performance Computing (2025)

Misun MinYu-Hsiang LanPaul FischerThilina RathnayakeJohn Holmen

computer sciencehigh performance computer architecturescalabilityperformance scalabilityadvanced gpu architecturesengineeringscientific computinggpu architecturecomputer engineeringparallel computingparallel programminggpu computingcomputer architecturegpu clusternek5000/rs performance

Optimal Polynomial Smoothers and One‐Sided V‐Cycles for Poisson Problems. Numerical Linear Algebra with Applications (2025)

Malachi PhillipsPaul Fischer

numerical stabilityboundary value problemsoptimal polynomial smoothersnumerical method for partial differential equationspectral element discretizationnumerical analysisscientific computingmathematicspolynomial smoothernumerical mathematicspartial differential equationsnumerical computationapproximation theoryapplied mathematicsnumerical algorithms

Toward Thermal Striping Predictions Using Large Eddy Simulation-Proper Orthogonal Decomposition Data in Reduced-Order Models. Journal of Nuclear Engineering and Radiation Science (2025)

John AciernoElia MerzariVictor PetrovAnnalisa ManeraPaul Fischer

thermal engineeringnumerical simulationsproper orthogonal decompositionturbulence modelingengineeringfluid dynamicsfluid flowthermal modelingcomputational fluid dynamicsturbulent flow heat transferthermal stripingfluid mechanicslarge eddy simulationheat transfermodeling and simulationthermodynamicsaerospace engineering

Accelerating Transients With Nekrs: GPU Overlapping Domain Implementation and Multi-Rate Timestepping. (2024)

Elia MerzariStefan KerkemeierDillon ShaverTri NguyenHaomin YuanMisun MinYu-Hsiang LanPaul Fischer

computational engineeringcomputer sciencecomputational sciencehardware accelerationscientific computingcomputational mathematicsgpu architecturecomputer engineeringparallel computingparallel programminggpu clustergpu computinggpu benchmarkingmulti-rate timesteppingdomain implementationapplied mathematics

A Robust Spectral Element Implementation of the K – Τ Rans Model in Nek5000/Nekrs. (2024)

Tomboulides, AnaniasSaini, NadishShaver, DillonObabko, AleksandrYuan, HaominMerzari, EliaFischer, Paul

spectral analysisspectrum estimationparticle physicscomputational electromagneticsphysicscomputational physicsnumerical analysisscientific computingspectral theoryapplied mathematics

A Robust Spectral Element Implementation of the K − τ Rans Model in Nek5000/Nekrs. International Journal of Heat and Fluid Flow (2024)

A. TomboulidesN. SainiD.R. ShaverA.V. ObabkoH. YuanE. MerzariP.F. Fischer

spectral analysismo linebreak=scientific computingcomputer engineeringnumerical linear algebraunified field theorynumerical algorithmsparticle physicscomputational physicsmathematical physicsnumerical mathematicsspectral theorynumerical analysiscomputational mathematicsspectrum estimationmath xmlnsoperator algebrashigh energy physicsapplied mathematics

A Study of the Transition to Turbulence in a Bed of 67 Spherical Pebbles. Flow Turbulence and Combustion (2024)

David RegerElia MerzariTri NguyenYu-Hsiang LanPaul FischerYassin Hassan

hydrodynamic stabilitysediment transportgranular materialssedimentologyenvironmental fluid mechanicsphysicsturbulence modelingfluid flowfluid dynamicsspherical pebblescivil engineeringenvironmental fluid dynamicsfluid mechanicsfluid scienceparticle-laden flows

A Time-Relaxation Reduced Order Model for the Turbulent Channel Flow. Journal of Computational Physics (2024)

Ping-Hsuan TsaiPaul FischerTraian Iliescu

numerical simulationsmultiphase flowsunsteady flowsturbulence modelingfluid flownumerical analysisfluid dynamicsturbulent channel flowfluid mechanicsreduced order modelingapplied mathematicsaerospace engineering

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Paul Fischer

Professor

University of Illinois Urbana-Champaign

Affiliations

The Grainger College of Engineering

Department of Mechanical Science and Engineering

Siebel School of Computing and Data Science

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Paul Fischer

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A High Order Continuous Galerkin Spectrally Stabilized Level-Set Approach for Incompressible Two-Phase Flows. (2025)

Nadish SainiAnanias TomboulidesDillon ShaverPaul F. FischerElia MerzariAleksandr ObabkoDonna P. Guillen

Deciphering Boundary Layer Dynamics in High-Rayleigh-Number Convection Using 3360 Gpus and a High-Scaling In-Situ Workflow. arXiv (Cornell University) (2025)

Nek5000/Rs Performance on Advanced GPU Architectures. Frontiers in High Performance Computing (2025)

Misun MinYu-Hsiang LanPaul FischerThilina RathnayakeJohn Holmen

Optimal Polynomial Smoothers and One‐Sided V‐Cycles for Poisson Problems. Numerical Linear Algebra with Applications (2025)

Malachi PhillipsPaul Fischer

Toward Thermal Striping Predictions Using Large Eddy Simulation-Proper Orthogonal Decomposition Data in Reduced-Order Models. Journal of Nuclear Engineering and Radiation Science (2025)

John AciernoElia MerzariVictor PetrovAnnalisa ManeraPaul Fischer

Accelerating Transients With Nekrs: GPU Overlapping Domain Implementation and Multi-Rate Timestepping. (2024)

Elia MerzariStefan KerkemeierDillon ShaverTri NguyenHaomin YuanMisun MinYu-Hsiang LanPaul Fischer

A Robust Spectral Element Implementation of the K – Τ Rans Model in Nek5000/Nekrs. (2024)

Tomboulides, AnaniasSaini, NadishShaver, DillonObabko, AleksandrYuan, HaominMerzari, EliaFischer, Paul

spectral analysisspectrum estimationparticle physicscomputational electromagneticsphysicscomputational physicsnumerical analysisscientific computingspectral theoryapplied mathematics

A Robust Spectral Element Implementation of the K − τ Rans Model in Nek5000/Nekrs. International Journal of Heat and Fluid Flow (2024)

A. TomboulidesN. SainiD.R. ShaverA.V. ObabkoH. YuanE. MerzariP.F. Fischer

A Study of the Transition to Turbulence in a Bed of 67 Spherical Pebbles. Flow Turbulence and Combustion (2024)

David RegerElia MerzariTri NguyenYu-Hsiang LanPaul FischerYassin Hassan

A Time-Relaxation Reduced Order Model for the Turbulent Channel Flow. Journal of Computational Physics (2024)

Ping-Hsuan TsaiPaul FischerTraian Iliescu

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