Radek Fučík

Mathematical Modelling Group

Department of Mathematics
Faculty of Nuclear Science and Physical Engineering

Czech Technical University in Prague

Trojanova 13, Praha 2, room T-111

radek.fucik@fjfi.cvut.cz

https://orcid.org/0000-0001-7040-9184

Research Topics for Students

here (see 'témata prací')

Research Interests

Mathematical modeling of flow and transport in the subsurface
Semi-analytical solutions of advection-diffusion problems
Mass transfer in the subsurface
Dynamic effect in capillarity
Mixed-hybrid finite element method
Lattice Boltzmann method
Immersed boundary method
Boundary layer flow
Turbulent flow

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

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

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),

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)