MFC 5.0: An exascale many-physics flow solver.

Tim Colonius https://scholar.google.com/citations?user=zrUK8W0AAAAJ https://zbmath.org/authors/?q=ai:colonius.tim https://mathscinet.ams.org/mathscinet/MRAuthorID/658655 https://mathgenealogy.org/id.php?id=107814 https://orcid.org/0000-0003-0326-3909 https://www.wikidata.org/entity/Q58123732 https://id.loc.gov/authorities/names/no2007036516

Benjamin Wilfong Henry Le Berre Anand Radhakrishnan Ansh Gupta Daniel Vickers Diego Vaca-Revelo Dimitrios Adam Haocheng Yu Hyeoksu Lee Jose Rodolfo Chreim Mirelys Carcana Barbosa Yanjun Zhang Esteban Cisneros-Garibay Aswin Gnanaskandan Mauro Rodriguez Jr. Reuben D. Budiardja Stephen Abbott Tim Colonius Spencer H. Bryngelson MFC 5.0: An exascale many-physics flow solver. 110055 2026 322 Comput. Phys. Commun. https://doi.org/10.1016/j.cpc.2026.110055 db/journals/cphysics/cphysics322.html#WilfongBRGVVAYLCBZCGRBA26 streams/journals/cphysics

Wei Hou Tim Colonius Fast and Robust Method for Screened Poisson Lattice Green's Function Using Asymptotic Expansion and Fast Fourier Transform. 1198- 2025 47 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/24m1646789 db/journals/siamsc/siamsc47.html#HouC25 streams/journals/siamsc

Alberto Padovan Vishal Anantharaman Clarence W. Rowley Blaine Vollmer Tim Colonius Daniel J. Bodony Resolvent4py: A parallel Python package for analysis, model reduction and control of large-scale linear systems. 102286 2025 31 SoftwareX https://doi.org/10.1016/j.softx.2025.102286 db/journals/softx/softx31.html#PadovanARVCB25 streams/journals/softx

Benjamin Wilfong Henry Le Berre Anand Radhakrishnan Ansh Gupta Diego Vaca-Revelo Dimitrios Adam Haocheng Yu Hyeoksu Lee Jose Rodolfo Chreim Mirelys Carcana Barbosa Yanjun Zhang Esteban Cisneros-Garibay Aswin Gnanaskandan Mauro Rodriguez Jr. Reuben D. Budiardja Stephen Abbott Tim Colonius Spencer H. Bryngelson MFC 5.0: An exascale many-physics flow solver. 2025 March abs/2503.07953 CoRR https://doi.org/10.48550/arXiv.2503.07953 db/journals/corr/corr2503.html#abs-2503-07953 streams/journals/corr

Michael K. Sleeman Tim Colonius Greedy recursion parameter selection for the One-Way Navier-Stokes (OWNS) equations. 2025 June abs/2506.02320 CoRR https://doi.org/10.48550/arXiv.2506.02320 db/journals/corr/corr2506.html#abs-2506-02320 streams/journals/corr

Anand Radhakrishnan Henry Le Berre Benjamin Wilfong Jean-Sebastien Spratt Mauro Rodriguez Tim Colonius Spencer H. Bryngelson Method for scalable and performant GPU-accelerated simulation of multiphase compressible flow. 109238 2024 302 Comput. Phys. Commun. https://doi.org/10.1016/j.cpc.2024.109238 db/journals/cphysics/cphysics302.html#RadhakrishnanBWSRCB24 streams/journals/cphysics

Wei Hou Tim Colonius An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions. 113370 2024 519 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113370 db/journals/jcphy/jcphy519.html#HouC24 streams/journals/jcphy

Wei Hou Tim Colonius Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform. 2024 abs/2403.03076 CoRR https://doi.org/10.48550/arXiv.2403.03076 db/journals/corr/corr2403.html#abs-2403-03076

Spencer H. Bryngelson Rodney O. Fox Tim Colonius Conditional moment methods for polydisperse cavitating flows. 111917 2023 March 477 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.111917 db/journals/jcphy/jcphy477.html#BryngelsonFC23

Ke Yu Benedikt Dorschner Tim Colonius Multi-resolution lattice Green's function method for incompressible flows. 110845 2022 459 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110845 db/journals/jcphy/jcphy459.html#YuDC22

Spencer H. Bryngelson Kevin Schmidmayer Vedran Coralic Jomela C. Meng Kazuki Maeda Tim Colonius MFC: An open-source high-order multi-component, multi-phase, and multi-scale compressible flow solver. 107396 2021 266 Comput. Phys. Commun. https://doi.org/10.1016/j.cpc.2020.107396 https://www.wikidata.org/entity/Q115045157 db/journals/cphysics/cphysics266.html#BryngelsonSCMMC21

Alexis-Tzianni Charalampopoulos Spencer H. Bryngelson Tim Colonius Themistoklis P. Sapsis Hybrid quadrature moment method for accurate and stable representation of non-Gaussian processes and their dynamics. 2021 abs/2110.01374 CoRR https://arxiv.org/abs/2110.01374 db/journals/corr/corr2110.html#abs-2110-01374

Kevin Schmidmayer Spencer H. Bryngelson Tim Colonius An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics. 2020 402 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2019.109080 https://www.wikidata.org/entity/Q126854326 db/journals/jcphy/jcphy402.html#SchmidmayerBC20

Benedikt Dorschner Ke Yu Gianmarco Mengaldo Tim Colonius A fast multi-resolution lattice Green's function method for elliptic difference equations. 109270 2020 407 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.109270 https://www.wikidata.org/entity/Q126344139 db/journals/jcphy/jcphy407.html#DorschnerYMC20

Spencer H. Bryngelson Tim Colonius Rodney O. Fox QBMMlib: A library of quadrature-based moment methods. 100615 2020 12 SoftwareX https://doi.org/10.1016/j.softx.2020.100615 db/journals/softx/softx12.html#BryngelsonCF20

Ben Stevens Tim Colonius Enhancement of shock-capturing methods via machine learning. 2020 abs/2002.02521 CoRR https://arxiv.org/abs/2002.02521 db/journals/corr/corr2002.html#abs-2002-02521

Ben Stevens Tim Colonius FiniteNet: A Fully Convolutional LSTM Network Architecture for Time-Dependent Partial Differential Equations. 2020 abs/2002.03014 CoRR https://arxiv.org/abs/2002.03014 db/journals/corr/corr2002.html#abs-2002-03014

Kazuki Maeda Tim Colonius Eulerian-Lagrangian method for simulation of cloud cavitation. 994-1017 2018 371 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.05.029 https://www.wikidata.org/entity/Q59755668 db/journals/jcphy/jcphy371.html#MaedaC18

Sebastian Liska Tim Colonius A fast immersed boundary method for external incompressible viscous flows using lattice Green's functions. 257-279 2017 331 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2016.11.034 https://www.wikidata.org/entity/Q59755684 db/journals/jcphy/jcphy331.html#LiskaC17

Andres Goza Tim Colonius A strongly-coupled immersed-boundary formulation for thin elastic structures. 401-411 2017 336 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.02.027 https://www.wikidata.org/entity/Q59755688 db/journals/jcphy/jcphy336.html#GozaC17

Sebastian Liska Tim Colonius A fast lattice Green's function method for solving viscous incompressible flows on unbounded domains. 360-384 2016 316 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2016.04.023 https://www.wikidata.org/entity/Q59755710 db/journals/jcphy/jcphy316.html#LiskaC16

Andres Goza Sebastian Liska Benjamin Morley Tim Colonius Accurate computation of surface stresses and forces with immersed boundary methods. 860-873 2016 321 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2016.06.014 https://www.wikidata.org/entity/Q59755712 db/journals/jcphy/jcphy321.html#GozaLMC16

Aaron Towne Tim Colonius One-way spatial integration of hyperbolic equations. 844-861 2015 300 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.08.015 https://www.wikidata.org/entity/Q59755742 db/journals/jcphy/jcphy300.html#TowneC15

Hyeong Jae Lee Stewart Sherrit Luis Phillipe Tosi Phillip Walkemeyer Tim Colonius Piezoelectric Energy Harvesting in Internal Fluid Flow. 26039-26062 2015 15 Sensors 10 https://doi.org/10.3390/s151026039 https://www.wikidata.org/entity/Q30398416 db/journals/sensors/sensors15.html#LeeSTWC15

Vedran Coralic Tim Colonius Finite-volume WENO scheme for viscous compressible multicomponent flows. 95-121 2014 274 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2014.06.003 https://www.wikidata.org/entity/Q30401953 db/journals/jcphy/jcphy274.html#CoralicC14

Sebastian Liska Tim Colonius A parallel fast multipole method for elliptic difference equations. 76-91 2014 278 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2014.07.048 https://www.wikidata.org/entity/Q59755757 db/journals/jcphy/jcphy278.html#LiskaC14

Sebastian Liska Tim Colonius A parallel fast multipole method for elliptic difference equations. 2014 abs/1402.6081 CoRR http://arxiv.org/abs/1402.6081 db/journals/corr/corr1402.html#LiskaC14

Sergio Pirozzoli Tim Colonius Generalized characteristic relaxation boundary conditions for unsteady compressible flow simulations. 109-126 2013 248 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2013.04.021 https://www.wikidata.org/entity/Q59755771 db/journals/jcphy/jcphy248.html#PirozzoliC13

Daniel Appelö Tim Colonius A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems. 4200-4217 2009 228 J. Comput. Phys. 11 https://doi.org/10.1016/j.jcp.2009.02.030 https://www.wikidata.org/entity/Q59755900 db/journals/jcphy/jcphy228.html#AppeloC09

Kunihiko Taira Tim Colonius The immersed boundary method: A projection approach. 2118-2137 2007 225 J. Comput. Phys. 2 https://doi.org/10.1016/j.jcp.2007.03.005 https://www.wikidata.org/entity/Q59755947 db/journals/jcphy/jcphy225.html#TairaC07

Eric Johnsen Tim Colonius Implementation of WENO schemes in compressible multicomponent flow problems. 715-732 2006 219 J. Comput. Phys. 2 https://doi.org/10.1016/j.jcp.2006.04.018 https://www.wikidata.org/entity/Q59755951 db/journals/jcphy/jcphy219.html#JohnsenC06

Tim Colonius Clancy W. Rowley Jonathan B. Freud Richard M. Murray On the choice of norm for modeling compressible flow dynamics at reduced-order using the POD. 3273-3278 2002 CDC https://doi.org/10.1109/CDC.2002.1184376 conf/cdc/2002 db/conf/cdc/cdc2002.html#ColoniusRFM02 Stephen Abbott Dimitrios Adam Vishal Anantharaman Daniel Appelö Mirelys Carcana Barbosa Henry Le Berre Daniel J. Bodony Spencer H. Bryngelson Reuben D. Budiardja Alexis-Tzianni Charalampopoulos Jose Rodolfo Chreim Esteban Cisneros-Garibay Vedran Coralic Benedikt Dorschner Rodney O. Fox Jonathan B. Freud Aswin Gnanaskandan Andres Goza Ansh Gupta Wei Hou Eric Johnsen Hyeoksu Lee Hyeong Jae Lee Sebastian Liska Kazuki Maeda Jomela C. Meng Gianmarco Mengaldo Benjamin Morley Richard M. Murray Alberto Padovan Sergio Pirozzoli Anand Radhakrishnan Mauro Rodriguez Mauro Rodriguez Jr. Clancy W. Rowley Clarence W. Rowley Themistoklis P. Sapsis Kevin Schmidmayer Stewart Sherrit Michael K. Sleeman Jean-Sebastien Spratt Ben Stevens Kunihiko Taira Luis Phillipe Tosi Aaron Towne Diego Vaca-Revelo Daniel Vickers Blaine Vollmer Phillip Walkemeyer Benjamin Wilfong Haocheng Yu Ke Yu Yanjun Zhang