Radek Fučík

position:	associate professor
affiliation:	Mathematical Modelling Group
	Department of Mathematics
	Faculty of Nuclear Science and Physical Engineering
	Czech Technical University in Prague
address:	Trojanova 13, Praha 2, room T-111, Czech Republic
email:	radek.fucik@fjfi.cvut.cz
orcid:	0000-0001-7040-9184
research id:	KNX-6558-2024
scopus id:	33067775900

Research Interests

• Lattice Boltzmann method
• Mathematical modeling of flow, transport, and mass transfer in porous materials
• Semi-analytical solutions of advection-diffusion problems
• Mixed-hybrid finite element method
• Immersed boundary method
• Analysis of numerical methods
• Computer science - HPC and scientific software

Research Projects

• LUAUS25049: Translation of mathematical modeling and optimization techniques to cardiovascular medicine, project of Czech Ministry of Education, Youth and Sports Interexcellence LUAUS25049, 2025-2028, principal investigator Radek Fučík, support for cooperation with UT Southwestern Medical Center, Dallas (prof. Mohammad Tarique Hussain, M.D., Ph. D. and MUDr. Radomír Chabiniok, Ph.D.)
• GA24-11247S: Off-diagonal thermodynamics and its connection with other factors as a route to predictable selectivity in C-H bond cleavage , 2024-2026, project no. 24-11247S of the Czech Science Foundation, (principal investigator Martin Srnec - Jaroslav-Heyrovsky Institute, Czech Academy of Sciences, local investigator Radek Fučík)
• LTAUSA19021: Computational Models and Experimental Investigation of Fluid Dynamics, Mass Transfer and Transport, and Phase Transitions in Porous Media for Environmental Applications, project of Czech Ministry of Education, Youth and Sports Interexcellence LTAUSA19021, 2020-2022, principal investigator Radek Fučík, support for cooperation with the Colorado School of Mines, Golden (prof. Tissa Illangasekare)
• GA18-09539S: Large structures in boundary layers over complex surfaces under high Reynolds numbers, project no. 18-09539S of the Czech Science Foundation, 2019-2021 (principal investigator Klára Jurčáková, Czech Academy of Sciences, local co-principal investigator Radek Fučík)

Book Chapters

• link Chabiniok R., Škardová K., Galabov R., Eichler P., Gusseva M., Janoušek J., Fučík R., Tintěra J., Oberhuber T., Hussain T. (2021) Translational Cardiovascular Modeling: Tetralogy of Fallot and Modeling of Diseases. In: Málek J., Süli E. (eds) Modeling Biomaterials. Nečas Center Series. Birkhäuser, Cham. 10.1007/978-3-030-88084-2_6
• T. H. Illangasekare, K. M. Smits, R. Fučík and H. Davarzani: From Pore to the Field: Upscaling Challenges and Opportunities in Hydrogeological and Land–Atmospheric Systems In: Pore Scale Phenomena - Frontiers in Energy and Environment, World Scientific, 2015
• T. H. Illangasekare, C. C. Frippiat, R. Fučík: Dispersion and Mass Transfer Coefficients in Groundwater of Near-surface Geologic Formations. In: Handbook of Estimation Methods: Environmental Mass Transport Coefficients, Editors L. J. Thibodeaux and D. Mackay,CRC Press / Taylor and Francis Group, UK, 2010

Research papers

2026

• link Martin Srnec, Daniel Bím, Mauricio Maldonado-Domínguez, Zuzanna Wojdyla, Radek Fučík: Thermodynamic Principles Behind Mechanisms and Reactivities: Hydrogen Atom Abstraction and Related Radical Reactions, Accounts of Chemical Research, 2026 10.1021/acs.accounts.5c00879
• link Jakub Klinkovský, Pavel Eichler, Robert Straka, Tomáš Oberhuber, Radek Fučík: TNL-LBM: Scalable lattice Boltzmann method implementation based on Template Numerical Library, Journal of Supercomputing, Volume 82, article number 167, 2026, 10.1007/s11227-026-08292-0
• link Jan Kovář, Radek Fučík, Tarique Hussain, Munes Fares, Radomír Chabiniok: Mathematical modeling of myocardial perfusion using lattice Boltzmann method, Elsevier Computers & Mathematics with Applications, Volume 203, 1 February 2026, Pages 230-253 10.1016/j.camwa.2025.12.005

2025

• link Jan Kovář, Erik Andris, Zuzanna Wojdyla, Jishnu Sai Gopinath, Jakub Klinkovský, Radek Fučík, Martin Srnec: Marcus cross relation in the space of H-atom abstraction reactions boosted through off-diagonal thermodynamic, J. Chem. Phys. 163, 144105 (2025) 10.1063/5.0289063

2024

• link Pavel Eichler, Radek Fučík, Pavel Strachota: Investigation of mesoscopic boundary conditions for lattice Boltzmann method in laminar flow problems, Elsevier Computers & Mathematics with Applications, Volume 173, November 1, 2024, Pages 87-101, 2024 10.1016/j.camwa.2024.08.009
• link Radek Fučík, Jan Kovář, Kateřina Škardová, Ondřej Polívka, Radomír Chabiniok: A lattice Boltzmann approach to mathematical modeling of myocardial perfusion, International Journal for Numerical Methods in Biomedical Engineering, e3833, 2024 10.1002/cnm.3833

2023

• link Jakub Klinkovský, Andrew C. Trautz, Radek Fučík, Tissa H. Illangasekare: Lattice Boltzmann method–based efficient GPU simulator for vapor transport in the boundary layer over a moist soil: Development and experimental validation, Elsevier Computers & Mathematics with Applications, Volume 138, 15 May 2023, Pages 65-87, 2023 10.1016/j.camwa.2023.02.021
• link Pavel Eichler, Radek Galabov, Radek Fučík, Kateřina Škardová, Tomáš Oberhuber, Petr Pauš, Jaroslav Tintěra, Radomír Chabiniok: Non-Newtonian turbulent flow through aortic phantom: Experimental and computational study using magnetic resonance imaging and lattice Boltzmann method, Elsevier Computers & Mathematics with Applications, Volume 136, 15 April 2023, Pages 80-94, 2023 10.1016/j.camwa.2023.01.031

2022

• link Radek Fučík, Pavel Eichler, Jakub Klinkovský, Robert Straka, Tomáš Oberhuber: Lattice Boltzmann Method Analysis Tool (LBMAT), Numerical Algorithms, 10.1007/s11075-022-01476-8
• link Jakub Klinkovský, Tomáš Oberhuber, Radek Fučík, Vítězslav Žabka Configurable Open-source Data Structure for Distributed Conforming Unstructured Homogeneous Meshes with GPU Support ACM Transactions on Mathematical Software, Volume 48, Issue 3, September 2022, Article No.: 30, pp 1–30 10.1145/3536164
• link Michal Beneš, Pavel Eichler, Radek Fučík, Jan Hrdlička, Jakub Klinkovský, Miroslav Kolář, Tomáš Smejkal, Pavel Skopec, Jakub Solovský, Pavel Strachota, Robert Straka, Alexandr Žák Experimental and numerical investigation of air flow through the distributor plate in a laboratory-scale model of a bubbling fluidized bed boiler Japan J. Indust. Appl. Math. (2022) 10.1007/s13160-022-00518-x
• link Jakub Solovský, Radek Fučík and Jakub Šístek BDDC for MHFEM discretization of unsteady two-phase flow in porous media Elsevier Computer Physics Communications, Volume 271, February 2022, 108199 10.1016/j.cpc.2021.108199

2021

• link Ahmed H. Askar, Tissa H. Illangasekare, Andrew Trautz, Jakub Solovský, Ye Zhang and Radek Fučík Exploring the Impacts of Source Condition Uncertainties on Far‐Field Brine Leakage Plume Predictions in Geologic Storage of CO2: Integrating Intermediate‐Scale Laboratory Testing with Numerical Modeling. Water Resources Research, Volume 57, Issue 9, September 2021, e2021WR029679 10.1029/2021WR029679
• link Pavel Eichler, Vladimír Fuka, and Radek Fučík. Cumulant lattice Boltzmann simulations of turbulent flow above rough surfaces. Elsevier Computers & Mathematics with Applications, vol. 92, June 2021, 37-47, 10.1016/j.camwa.2021.03.016
• link Radek Fučík and Robert Straka Equivalent finite difference and partial differential equations for the lattice Boltzmann method Elsevier Computers & Mathematics with Applications, vol. 90, 2021, 96-103 10.1016/j.camwa.2021.03.014
  https://mmg-gitlab.fjfi.cvut.cz/gitlab/lbm/lbman
• link Pavel Eichler, Radek Fučík, and Robert Straka Computational study of immersed boundary - lattice Boltzmann method for fluid-structure interaction Discrete & Continuous Dynamical Systems - Series S, vol. 14, iss. 3, 2021, 819-833 10.3934/dcdss.2020349
• link Tomáš Oberhuber, Jakub Klinkovský, Radek Fučík, TNL: Numerical library for modern parallel architectures, Acta Polytechnica. 2021, 61(SI), 122-134. 10.14311/AP.2021.61.0122
• link Radek Fučík, Jakub Solovský, Michelle R. Plampin, Hao Wu, Jiří Mikyška, Tissa H. Illangasekare Computational methodology to analyze the effect of mass transfer rate on attenuation of leaked carbon dioxide in shallow aquifers Acta Polytechnica, 61(SI), 77-88, 10.14311/AP.2021.61.0077

2020

• link Radek Fučík, Radek Galabov, Petr Pauš, Pavel Eichler, Jakub Klinkovský, Robert Straka, Jaroslav Tintěra, and Radomir Chabiniok. Investigation of phase-contrast magnetic resonance imaging underestimation of turbulent flow through the aortic valve phantom: Experimental and computational study using lattice Boltzmann method. Magnetic Resonance Materials in Physics, Biology and Medicine (2020): 1-14, 10.1007/s10334-020-00837-5
• link Tomáš Smejkal, Jiří Mikyška, and Radek Fučík. Numerical modelling of adsorption and desorption of water vapor in zeolite 13X using a two-temperature model and mixed-hybrid finite element method numerical solver. International Journal of Heat and Mass Transfer 148 (2020): 119050, 10.1016/j.ijheatmasstransfer.2019.119050
• link Solovský, Jakub, Radek Fučík, Michael R. Plampin, Tissa H. Illangasekare, and Jiří Mikyška. Dimensional effects of inter-phase mass transfer on attenuation of structurally trapped gaseous carbon dioxide in shallow aquifers. Journal of Computational Physics 405 (2020): 109178, 10.1016/j.jcp.2019.109178

2019

• link M. Maldonado-Domínguez, D. Bím, R. Fučík, R. Čurík, M. Srnec: Reactive Mode Composition Factor Analysis of Transition States: The Case of Coupled Electron-Proton Transfers., Physical Chemistry Chemical Physics, 2019, vol. 21, 24912-24918, 10.1039/c9cp05131g
• link D. Bím, M. Maldonado-Domínguez, R. Fučík, M. Srnec: Dissecting the Temperature Dependence of Electron−Proton Transfer Reactivity, Journal of Physical Chemistry C, vol. 123, no. 35 (2019): 21422-21428, 10.1021/acs.jpcc.9b07375
• link R. Fučík, J. Klinkovský, J. Solovský, T. Oberhuber, J. Mikyška, Multidimensional Mixed–Hybrid Finite Element Method for Compositional Two–Phase Flow in Heterogeneous Porous Media and its Parallel Implementation on GPU Elsevier Computer Physics Communications, vol. 238, 2019, 10.1016/j.cpc.2018.12.004
• link R. Fučík, P. Eichler, R. Straka, P. Pauš, J. Klinkovský, T. Oberhuber, On optimal node spacing for immersed boundary–lattice Boltzmann method in 2D and 3D Elsevier Computers & Mathematics with Applications, vol. 77, issue 4, 2019, 10.1016/j.camwa.2018.10.045
• link O. Pártl, M. Beneš, R. Fučík, T. Illangasekare, Numerical Modeling of Non-Isothermal Compositional Compressible Gas Flow in Soil and Coupled Atmospheric Boundary Layer Communications in Computational Physics, 26 (2019), pp. 346-388, 10.4208/cicp.OA-2018-0049

2018

• pdf M. Beneš, R. Fučík, V. Havlena, V. Klement, M. Kolář, O. Polívka, J. Solovský, P. Strachota An Efficient and Robust Numerical Solution of the Full-Order Multiscale Model of Lithium-Ion Battery, Mathematical Problems in Engineering, volume 2018, Article ID 3530975, 12 pages, 2018, 10.1155/2018/3530975

2016

• link R. Fučík, T. H. Illangasekare, and M. Beneš Multidimensional self-similar analytical solutions of two-phase flow in porous media, Advances in Water Resources, Volume 90, April 2016, Pages 51–56, 10.1016/j.advwatres.2016.02.007

2015

• pdf B. G. Petri, R. Fučík, T. H. Illangasekare, K. M. Smits, J. A. Christ, T. Sakaki, and C. C. Sauck Effect of NAPL Source Morphology on Mass Transfer in the Vadose Zone, Groundwater, 53(5), 685-698, 2015, 10.1111/gwat.12284
• P. Bauer, M. Beneš, R. Fučík, H. D. Hoang, V. Klement, R. Máca, J. Mach, T. Oberhuber, P. Strachota, V. Žabka, V. Havlena, Numerical Simulation of Flow in Fluidized Beds, Discrete. Cont. Dyn. S. S, 8:833-846, 2015, 10.3934/dcdss.2015.8.833

2011

• pdf R. Fučík and J. Mikyška Mixed-hybrid finite element method for modelling two-phase flow in porous media, Journal of Math-for-Industry, Vol. 3 (2011C-2), pp. 9–19, 2011
• pdf R. Fučík and J. Mikyška Discontinous Galerkin and Mixed-Hybrid Finite Element Approach to Two-Phase Flow in Heterogeneous Porous Media with Different Capillary Pressures, Procedia Computer Science, 4:908-917, 2011

2010

• pdf R. Fučík, J. Mikyška, T. Sakaki, M. Beneš, and T. H. Illangasekare: Significance of Dynamic Effect in Capillarity during Drainage Experiments in Layered Porous Media, Vadose Zone Journal, vol. 9, pages 697--708, 2010, 10.2136/vzj2009.0106

2009

• pdf M. Beneš, R.Fučík, J. Mikyška, and T. H. Illangasekare: Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium Journal of Porous Media, vol. 12, no. 12, pages 1139-1152, 2009, 10.1615/JPorMedia.v12.i12.20
• pdf I. Cheddadi, R.Fučík, M. Prieto and M. Vohralík: Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems , M2AN Math. Model. Numer. Anal, 2009, 10.1051/m2an/2009012

2008

• pdf R.Fučík, J. Mikyška, T. H. Illangasekare and M. Beneš: Semianalytical Solution for Two-Phase flow in Porous Media with a Discontinuity Vadose Zone Journal 2008 vol. 7, no. 3: pages 1001-1009, 10.2136/vzj2007.0155

2007

• pdf R.Fučík, J. Mikyška, T. H. Illangasekare and M. Beneš: An Improved Semi-Analytical Solution for Verification of Numerical Models of Two-Phase Flow in Porous Media Vadose Zone Journal 2007 no. 6: pages 93-104, 10.2136/vzj2006.0024

Habilitation thesis

Radek Fučík: Pokročilé metody pro matematické modelování dvoufázového proudění a transportu v porézním prostředí (Advanced methods for mathematical modeling of two-phase flow and transport in porous media), Habilitaion thesis (in Czech), Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague 2021
pdf (26,72 MB) thesis (habilitační práce)
pdf (8,51 MB) lecture presentation (habilitační přednáška)
pdf (2,90 MB) lecture text (text k habilitační přednášce)

Dissertation thesis

• Radek Fučík: Advanced Numerical Methods for Modelling Two-Phase Flow in Heterogeneous Porous Media, Dissertation thesis, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague 2010, advisor Jiří Mikyška.
  pdf (10,40 MB) thesis
  pdf (9,98 MB) presentation

Master's thesis

• Radek Fučík: Numerical Analysis of Multiphase Porous Media Flow in Groundwater Contamination Problems, Master's thesis, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague 2006, advisor Jiří Mikyška.
  pdf (4,99 MB) thesis
  pdf (2,43 MB) presentation
  pdf (2,38 MB) presentation (in Czech)

Research Topics for Students

• (→ 'témata prací')

Students

	PhD	MSc	BSc
current:	Jan Kovář Jan Bureš	Jia Xiang Ji	Krištof Červeň
past:	Jakub Solovský Jakub Klinkovský (RF co-advisor) Pavel Eichler	Ondřej Pelech Jakub Solovský Jakub Klinkovský Vojtěch Straka Pavel Eichler Jan Kovář Dominik Horák Lenka Horvátová Jan Bureš	Ondřej Šembera Ondřej Pelech Jakub Solovský Jakub Klinkovský Vojtěch Straka Pavel Eichler Adam Čala Jan Kovář Dominik Horák Lenka Horvátová Jan Bureš Jia Xiang Ji

Teaching Honors awarded by Students