Radek Fučík
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
Research Topics for Students
Key Publications
Book Chapters
- 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
- link Fučík, Radek, 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. doi.org/10.1007/s10334-020-00837-5
- link Smejkal, Tomáš, 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. doi.org/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. doi.org/10.1016/j.jcp.2019.109178
- 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, 2019,21, 24912-24918 doi.org/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, 123.35 (2019): 21422-21428, doi.org/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, doi.org/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, doi.org/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, doi.org/10.4208/cicp.OA-2018-0049
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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, doi.org/10.1155/2018/3530975
- 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 doi.org/10.1016/j.advwatres.2016.02.007
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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.
- 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
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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
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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
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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, doi:09.0106/vzj2009.0106
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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
- pdf I. Cheddadi, R.Fučík, M. Prieto and M. Vohralík:
Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems
DOI:10.1051/m2an/2009012, M2AN Math. Model. Numer. Anal, 2009
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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
- 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
Dissertation thesis
- R. Fučík: Advanced Numerical Methods for Modelling Two-Phase Flow in Heterogeneous Porous Media FNSPE Czech Technical University in Prague 2010.
Teaching Honors awarded by Students
