Radek Fučík

Mathematical Modelling Group, Department of Mathematics

Faculty of Nuclear Science and Physical Engineering

Czech Technical University in Prague

http://km.fjfi.cvut.cz/lide/fucik-radek

radek.fucik@fjfi.cvut.cz

and

Center of Experimental Study and Environmental Processes

Colorado School of Mines

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

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

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
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, accepted 2018, doi: 10.4208/cicp.OA-2018-0049
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
pdf 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
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
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
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
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
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