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
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, accepted dec 2018
- 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, 2018, 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
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pdf M. Beneš, R. Fučík,
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
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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
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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.
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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
- R. Fučík: Advanced Numerical Methods for Modelling Two-Phase Flow in Heterogeneous Porous Media FNSPE Czech Technical University in Prague 2010.
Dissertation thesis
Teaching Honors awarded by Students
