Mathematical Modelling Group

Publications of the Mathematical Modelling Group on porous-media flow, transport and phase transitions

Chapter in book

• Illangasekare T. H., Smits K. M., Fučík, R., Davarzani H., 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, pp. 163--202


• Illangasekare T.H., Frippiat C.C. and Fučík R. Dispersion and Mass Transfer Coefficients in Groundwater of Near-surface Geologic Formations, in Handbook of Chemical Mass Transport in the Environment, Editors L. J. Thibodeaux and D. Mackay, CRC Press/Taylor and Francis Group, 2010

Peer reviewed articles in the impacted scientific periodicals

• A. Žák, M. Beneš, and T.H. Illangasekare: Pore-scale model of freezing inception in a porous medium , Comput. Methods Appl. Mech. Engrg., Volume 414, 1 September 2023, 116166, DOI: 10.1016/j.cma.2023.116166


• J. Klinkovský, A.C. Trautz, R. Fučík and T.H. Illangasekare: Lattice Boltzmann method–based efficient GPU simulator for vapor transport in the boundary layer over a moist soil: Development and experimental validation, Computers & Mathematics with Applications, Volume 138, 15 May 2023, Pages 65-87, DOI: 10.1016/j.camwa.2023.02.021


• T. Smejkal, J. Mikyška, T.H. Illangasekare: Multi-phase compositional modeling in porous media using iterative IMPEC scheme and constant volume–temperature flash, Journal of Computational Science, 59: 101533, 2022. DOI: 10.1016/j.jocs.2021.101533


• A. H. Askar, T. H. Illangasekare, J. Solovský, A. Trautz, Y. Zhang, and R. 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: e2021WR029679, 2021


• J. Solovský, R. Fučík, M. R. Plampin, T. H. Illangasekare, J. Mikyška: Dimensional Effects of Inter-phase Mass Transfer on Attenuation of Structurally Trapped Gaseous Carbon Dioxide in Shallow Aquifers, Journal of Computational Physics, Volume 405, Article no. 109178, 15 March 2020, IF 2.845


• T. Smejkal, J. Mikyška, VTN-phase stability testing using the Branch and Bound strategy and the convex-concave splitting of the Helmholtz free energy density, Fluid Phase Equilibria, Vol.504, Article no. 112323, 2020, doi: 10.1016/j.fluid.2019.112323, IF 2.514


• J. Franců, J. Mikyška. An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics. Journal of Computational Physics, Vol. 400, Article no. 108962, 2020. IF 2.845.


• T. Smejkal, J. Mikyška, R. 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, Vol. 148, Article no. 119050, Feb 2020. IF 4.346


• 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, Computer Physics Communication, 238 (2019): 165-180, Impact factor 3.309, DOI 10.1016/j.cpc.2018.12.004


• 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: 10.4208/cicp.OA-2018-0049, IF 1.813


• O. Pártl, J. Mikyška. Numerical modeling of compressible gas flow in zeolite bed and above its surface. International Journal of Heat and Mass Transfer, 138:1199–1210, 2019. IF 3.891


• Jüngel A., Mikyška J., and Zamponi N.: Existence analysis of a single-phase flow mixture with van der Waals pressure, SIAM Journal on Mathematical Analysis, Volume 50, Issue 1, Pages 1367--1395, 2018, DOI: 10.1137/16M1107024.


• Smejkal T., Mikyška J.: Unified presentation and comparison of various formulations of the phase stability and phase equilibrium calculation problems, Fluid Phase Equilibria, Volume 476, Pages 61--88, Part B, 2018, DOI: 10.1016/j.fluid.2018.03.013.


• Žák, A., Beneš, M., Illangasekare, T. H. and Trautz A.C. Mathematical Model of Freezing in a Porous Medium at Micro-Scale. Commun. Comput. Phys. 24 (2), 2018, pp. 557--575. doi: 10.4208/cicp.OA-2017-0082.


• Žák, A., Beneš, M. Micro-Scale Model of Thermomechanics in Solidifying Saturated Porous Media. Acta Phys. Pol. A 134 (3), 2018, pp. 678--682. doi: 10.12693/APhysPolA.134.678.


• Smejkal T. and Mikyška J. Phase stability testing and phase equilibrium calculation at specified internal energy, volume, and moles. Fluid Phase Equilibria, 431:82-96, 2017.


• Fučík R., Illangasekare T.H. and Beneš M. Multidimensional self-similar analytical solutions of two-phase flow in porous media, Advances in Water Resources, Volume 90, April 2016, Pages 51--56 (Impact factor 4.349)


• Pártl O., Beneš M., Frolkovič P., Illangasekare T.H. and Smits K. Numerical modeling of non-isothermal gas flow and NAPL vapor transport in soil, Computer Physics Communications 202 (2016) 175--187. (Impact Factor 3.635)


• Jindrová, T., Mikyška, J., and Firoozabadi, A. Phase Behavior Modeling of Bitumen and Light Normal Alkanes and CO2 by PR-EOS and CPA-EOS, Energy and Fuels, 30: 515--525, 2016 (Impact factor 2.835)


• Petri B.G., Fučík R., Illangasekare T.H., Smits K.M., Christ J.A., Sauck C.C., Sakaki T. Effect of NAPL source morphology on mass transfer in the vadose zone, Groundwater Journal Volume 53, Issue 5, pages 685--698, September/October 2015 (impact factor 2.307)


• Jindrová, T., and Mikyška, J., General Algorithm for Multiphase Equilibria Calculation at Given Volume, Temperature, and Moles, Fluid Phase Equilibria, 393: 7--25, 2015 (Impact factor 2.2).


• Polívka O. and Mikyška J., Compositional Modeling in Porous Media Using Constant Volume Flash and Flux Computation without the Need for Phase Identification, Journal of Computational Physics, 272: 149--169, 2014, Impact factor 2.279


• Mikyška, J., and Firoozabadi, A., Investigation of Mixture Stability at Given Volume, Temperature, and Number of Moles, Fluid Phase Equilibria, Vol. 321 (May 15, 2012), pp. 1--9, 2012, Impact factor (2012): 2.379


• Mikyška J. and Firoozabadi A. Implementation of Higher-Order Methods for Robust and Efficient Compositional Simulation, Journal of Computational Physics, Volume: 229, Issue: 8, 2898--2913, 2010, Impact factor 2.279


• Fučík R., Mikyška J., Sakaki T., Beneš M. and Illangasekare T.H. Significance of Dynamic Capillary Pressure in Layered Soils, Vadose Zone Journal 9:697-708, (2010), doi:09.0106/vzj2009.0106, ISSN 1539-1663, Impact factor 1.99


• Mikyška J., Beneš M. and Illangasekare T.H. Numerical Investigation of NAPL Behavior at Heterogeneous Sand Layers Using VODA Multiphase Flow Code, Journal of Porous Media Volume12, Issue 7 (2009), 685--694, ISSN 1091-028X, Impact factor 0.493


• Beneš M., Fučík R., Mikyška J., and Illangasekare T.H. Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium, Journal of Porous Media Volume12, Issue 12 (2009), 1139--1152, ISSN 1091-028X, Impact factor 0.493


• Fučík R., Mikyška J., Illangasekare T.H. and Beneš M. Semi-Analytical Solution for Two-Phase Flow in Porous Media with a Discontinuity, Vadose Zone Journal 7:1001--1007 (2008), ISSN 1539-1663, Impact factor 1.549
  


• Fučík R., Mikyška J., Illangasekare T.H. and Beneš M. Improvement to Semi-Analytical Solution for Validation of Numerical Models of Two-Phase Porous-Media Flow, Vadose Zone Journal 6:93--104 (2007), ISSN 1539-1663, Impact factor 1.549


• Mikyška J. and Illangasekare T.H. Application of a multiphase flow code for investigation of influence of capillary pressure parameters on two-phase flow. Kybernetika Vol. 43 (2007), No. 6, 831--840, ISSN: 0023-5954, Impact factor 0.293

Peer reviewed articles in the SCOPUS periodicals

• R. Fučík, J. Solovský, M. R. Plampin, H. Wu, J. Mikyška, T. H. Illangasekare: Computational Methodology to Analyze the Effect of Mass Transfer Rate on Attenuation of Leaked Carbon Dioxide in Shallow Aquifers, Acta Polytechnica, 61 (Special Issue), pp. 77-88, doi.org/10.14311/AP.2021.61.0077


• Polívka, O., and Mikyška, J., Compositional Modeling of Two-Phase Flow in Porous Media Using Semi-Implicit Scheme, IAENG International Journal of Applied Mathematics, 45(3): 218--226, 2015.


• Jindrová, T., and Mikyška, J., Phase Equilibria Calculation of CO2-H2O System at Given Volume, Temperature, and Moles in CO2 Sequestration, IAENG International Journal of Applied Mathematics, 45(3): 183--192, 2015.


• Žák A., Beneš M. and Illangasekare T.H. Analysis of Model of Soil Freezing and Thawing, IAENG International Journal of Applied Mathematics, Volume 43, Issue 3, pp. 127--134, September 2013 (Scopus)

Articles in the ISI listed conference proceedings

• T. Smejkal, J. Mikyška, Multi-phase Compressible Compositional Simulations with Phase Equilibrium Computation in the VTN Specification, In: M. Paszynski, D. Kranzlmüller, V. V. Krzhizhanovskaya, J. J. Dongarra, P. M. A. Sloot (Eds.), Computational Science – ICCS 2021, Springer International Publishing, Cham, 2021, pp. 159–172


• P. Gális, J. Mikyška, Mathematical Modeling of the Single-Phase Multicomponent Flow in Porous Media, In: M. Paszynski, D. Kranzlmüller, V. V. Krzhizhanovskaya, J. J. Dongarra, P. M. A. Sloot (Eds.), Computational Science – ICCS 2021, Springer International Publishing, Cham, 2021, pp. 200–214.


• Solovský, J., Fučík, R., 2019, Mass Lumping for MHFEM in Two Phase Flow Problems in Porous Media. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, and I. S. Pop, editors, Numerical Mathematics and Advanced Applications ENUMATH 2017, pages 635–643. Springer International Publishing


• Žák A. Developing a Micro-Scale Model of Soil Freezing, In ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry - Podbanské, Slovakia, March 14 - 18, 2016, Proceedings of contributed papers and posters, Comenius University, Bratislava, 2016, pages 234--243


• Mikyška, J. and Polívka O. Energy Inequalities in Compositional Simulation, In ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry - Podbanské, Slovakia, March 14 - 18, 2016, Proceedings of contributed papers and posters, Comenius University, Bratislava, 2016, pages 224-233


• Pártl O., Beneš M. and Frolkovič P. Numerical Simulation of NAPL Vapor Transport in Air, In ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry - Podbanské, Slovakia, March 14 - 18, 2016, Proceedings of contributed papers and posters, Comenius University, Bratislava, 2016, pp. 214--223


• Mikyška J. and Polívka O. Energy Inequalities in Compositional Simulation, In ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry - Podbanské, Slovakia, March 14 - 18, 2016, Proceedings of contributed papers and posters, Comenius University, Bratislava, 2016, 224--233


• Polívka O. and Mikyška J. Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media, Numerical Mathematics and Advanced Applications 2011: Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, 2013, pp. 559--567, ISBN: 978-3-642-33133-6 (Print) 978-3-642-33134-3 (Online)

Peer reviewed articles in the non-impacted scientific periodicals

• Mikyška J. and Firoozabadi A. Application of High-Resolution Methods in Compositional Simulations, Procedia Computer Science, 4:928-937, 2011


• Fučík, R., and Mikyška, J., 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


• Fučík R., Mikyška J. Numerical Investigation of Dynamic Capillary Pressure in Two-Phase Flow in Porous Medium, Mathematica Bohemica 136(4) 2011


• Fučík R. and Mikyška J. Mixed-hybrid finite element method for modelling two-phase flow in porous media. Journal of Math-for-Industry Vol. 3 (2011) 9--19.


• Polívka O. and Mikyška J. Numerical simulation of multicomponent compressible flow in porous medium. Journal of Math-for-Industry Vol. 3 (2011) 53--60.

Articles in the conference proceedings

• T. Smejkal, Multi-Phase Compressible Compositional Simulations with Phase Equilibrium Computation in the VTN Specification, In: P. Ambrož, Z. Masáková (Eds.), Doktorandské dny 2021, 2021, pp. 119-120


• P. Gális, Mathematical Modeling of the Multicomponent Flow in Porous Media, In: P. Ambrož, Z. Masáková (Eds.), Doktorandské dny 2021, 2021, pp. 29-30.


• Smejkal, T.: Efficient solution of linear systems arising in the linearization of the VTN-phase stability problem using the Sherman-Morrison iterations. In: AMBROŽ, P. and MASÁKOVÁ, Z., eds. Doktoranské dny 2020. Doktorandské dny 2020, Praha, 2020-11-20/2020-11-27. Praha: FJFI ČVUT katedra matematiky, 2020, pp. 149-150.


• Gális, P.: Matematické modelování transportu komponent vícesložkové směsi v porézním prostředí. In: AMBROŽ, P. and MASÁKOVÁ, Z., eds. Doktoranské dny 2020. Doktorandské dny 2020, Praha, 2020-11-20/2020-11-27. Praha: FJFI ČVUT katedra matematiky, 2020, pp. 25-35.


• Smejkal, T.: Numerical modelling of the adsorption and desorption of the water vapor in the zeolite 13X using a two-temperature model and mixed-hybrid finite element method numerical solver. In: AMBROŽ, P. and MASÁKOVÁ, Z., eds. Doktoranské dny 2019. Doktorandské dny 2019, Praha, 2019-11-15/2019-11-22. Praha: FJFI ČVUT katedra matematiky, 2019, pp. 165-166.


• Gális, P.: Matematické modelování transportukomponent vícesložkové směsi v porézním prostředí. In: AMBROŽ, P. and MASÁKOVÁ, Z., eds. Doktoranské dny 2019. Doktorandské dny 2019, Praha, 2019-11-15/2019-11-22. Praha: FJFI ČVUT katedra matematiky, 2019, pp. 61-70.


• Solovský, J.: Dimensional Effects of Inter-Phase Mass Transfer on Attenuation of Structurally Trapped Gaseous Carbon Dioxide in Shallow Aquifers, In: AMBROŽ, P. and MASÁKOVÁ, Z., eds. Doktoranské dny 2019. Doktorandské dny 2019, Praha, 2019-11-15/2019-11-22. Praha: FJFI ČVUT katedra matematiky, 2019. pp. 167-168.


• Solovský J.: MHFEM with BDDC for two-phase flow in porous media in 2D and 3D. In: Ambrož P., Masáková Z., eds. Doktoranské dny 2018. Doktorandské dny 2018, Praha, 2018-11-16/2018-12-23. Praha: FJFI ČVUT katedra matematiky, 2018. pp. 143--144.


• T. Smejkal: Unified presentation and comparison of various formulations of the phase stability and phase equilibrium calculation problems, In: Ambrož P., Masáková Z., eds. Doktorandské dny 2018. Doktorandské dny 2018, Praha, 2018-11-16/2018-12-23. Praha: FJFI ČVUT katedra matematiky, 2018, pp. 139--140.


• Solovský J., Fučík R, Numerical method for two phase flow problems in porous media, In: Doktorandské dny FJFI 2017, eds: Ambrož P., Masáková Z., pp. 231--222


• Klinkovský, J. Numerical solution of two-phase flow in porous media using unstructured meshes on GPU, In: Doktorandské dny FJFI 2017, eds: Ambrož P., Masáková Z., pp. 111 -- 122


• Feireisl, E., Mikyška, J., Petzeltová, H., Takáč, P., On the Motion of Chemically Reacting Fluids through Porous Medium. In: From Particle Systems to Partial Differential Equations: PSPDE IV, Braga, Portugal, December 2015, Ed: Goncalves P. Springer International Publishing. pp. 139--152.


• Pártl O. and Beneš M. Numerical Modeling of NAPL Vapor Transport in Air, In: Karasözen B., Manguoglu M., Tezer-Sezgin M., Göktepe S., Ugur Ö. (Eds.) Numerical Mathematics and Advanced Applications -- ENUMATH 2015 (the European Conference on Numerical Mathematics and Advanced Applications, Ankara, Turkey), Volume 112 of the series Lecture Notes in Computational Science and Engineering, Springer International Publishing, pp. 531--538


• Solovský J. Paralelní řešení úloh dvoufázového proudění v porézním prostředí pomocí MPI. In: P. Ambrož a Z. Masáková, (editoři), Doktorandské dny - sborník workshopu doktorandů FJFI oboru Matematické inženýrství, Nakladatelství ČVUT v Praze (2016), 161--170.


• Pártl O., Beneš M., Numerical Simulation of NAPL Vapor Transport above Porous Medium, in: P. Ambrož a Z. Masáková, (editoři), Doktorandské dny - sborník workshopu doktorandů FJFI oboru Matematické inženýrství, 20. a 27. listopadu 2015, Nakladatelství ČVUT v Praze (2015), 141--150.


• Jindrová, T., Mikyška, J., Zobecněný výpočet fázové rovnováhy vícesložkových směsí při daném objemu,teplotě a složení, sborník workshopu doktorandů FJFI - Doktorandské dny 2015 (abstrakt článku přijatého do Fluid Phase Equilibria, 2015).


• Pártl O., Numerical Simulation of NAPL Vapor Transport in Soil, workshop of the Ph.D. students at the FJFI CVUT - Doktorandské dny 2014, eds. Ambrož P. and Masáková Z., Publishing House of the ČVUT, 2014


• Žák A., Micro-Scale Modeling of Soil Freezing, workshop of the Ph.D. students at the FJFI CVUT - Doktorandské dny 2014, eds. Ambrož P. and Masáková Z., Publishing House of the ČVUT, 2014


• Jindrová, T., Mikyška, J., Výpočet fázové rovnováhy systému CO2-H2O při daném objemu,teplotě a složení s aplikací v CO2 sekvestraci, workshop of the Ph.D. students at the FJFI CVUT - Doktorandské dny 2014, eds. Ambrož P. and Masáková Z., Publishing House of the ČVUT, 2014


• Polívka O. and Mikyška J., Compositional Modeling in Porous Media Using Constant Volume Flash and Flux Computation without the Need for Phase Identification, workshop of the Ph.D. students at the FJFI CVUT - Doktorandské dny 2013, 233--234, eds. Ambrož P. and Masáková Z., Publishing House of the ČVUT, 2013


• Pártl O. Numerical Simulation of Soil-Air Pressure, workshop of the Ph.D. students at the FJFI CVUT - Doktorandské dny 2013, 207--216, eds. Ambrož P. and Masáková Z., Publishing House of the ČVUT, 2013


• Žák A., Analysis of Model of Soil Freezing and Thawing, in proceedings of Seminar in Numerical Analysis, Liberec, January 2012, pp. 181--182, Technical University of Liberec, ISBN 978-80-7372-821-2


• Marková K., Mikyška J., New Thermodynamic Formulation for Phase-Splitting at Constant Temperature, Moles, and Volume, TP 2011, Topical Problems of Fluid Mechanics 2011, Praha, 2011, Conference Proceedings, Institute of Thermomechanics AS CR, v. v. i., 2011, ISBN 978-80-87012-32-1.


• Polívka O., Mikyška J., Numerical Modelling of Multicomponent Flow in the Subsurface, TP 2011, Topical Problems of Fluid Mechanics 2011, Praha, 2011, Conference Proceedings, Institute of Thermomechanics AS CR, v. v. i., 2011, ISBN 978-80-87012-32-1.


• Polívka O., Mikyška J. Numerický model pro výpočet proudění směsi v porézním prostředí, Doktorandské dny 2011, Praha, 2011, Proceedings on Workshop of Ph.D. Students in Mathematical Engineering, Czech Technical University in Prague, pp. 135-143, ISBN 978-80-01-04907-5.


• Marková K. and Mikyška J., Rovnovážné fázové přechody při konstantním objemu, Doktorandské dny 2011, Praha, 2011, Proceedings on Workshop of Ph.D. Students in Mathematical Engineering, Czech Technical University in Prague, pp. 135-143, ISBN 978-80-01-04907-5.


• Fučík R., Mikyška J., Sakaki T. and Illangasekare T. H. Implicit Numerical Scheme for Modelling Dynamic Effect in Capillary Pressure in Porous Medium, pp. 14-32, in Beneš M., Tsujikawa T. and Yazaki S., Eds. Proceedings of Czech Japanese Seminar in Applied Mathematics 2008, COE Lecture Note Vol. 14, Faculty of Mathematics, Kyushu University Fukuoka, February 2009, ISSN 1881-4042


• Mikyška J: O aplikaci metod vyššího řádu přesnosti pro simulaci stlačitelného dvoufázového vícekomponentního proudění v porézním prostředí, str. 58--61, ve sborníku Zpracování a interpretace dat z průzkumných a sanačních prací VI, 25. a 26. listopadu 2009, Žďár nad Sázavou, Pecinová Alena, Halousková Olga, (Edit.), str. 70, ISBN 978-80-86832-47-0


• Fučík R. and Mikyška J. Numerické simulace dvoufázového nestlačitelného a nemísivého proudění v porézním prostředí, pp. 62-67, ve sborníku Zpracování a interpretace dat z průzkumných a sanačních prací VI, 25. a 26. listopadu 2009, Žďár nad Sázavou, Pecinová Alena, Halousková Olga, (Edit.), str. 70, ISBN 978-80-86832-47-0


• Fučík R. Mikyška J. One dimensional numerical model including dynamic effect in capillary pressure - saturation relationship, in Proceedings of the Seminar on Numerial Analysis: Modelling and Simulation of Challenging Engineering Problems, Technical University of Liberec, 2008, ISBN 978-80-7372-298-2


• Mikyška J. and Beneš P. Konvergenční analýza upwindového schématu pro konvekční rovnici implementovaného pomocí knihovny UG, in Proceedings of the Seminar on Numerial Analysis: Modelling and Simulation of Challenging Engineering Problems, Technical University of Liberec, 2008, pp. 9--11, ISBN 978-80-7372-298-2


• Mikyška J., Beneš M. and Illangasekare T.H. VODA Multiphase Flow Code for Investigation of NAPL Behavior at Heterogeneous Sand Layers. In: Proceedings of the 2nd International Conference on Porous Media and its Applications in Science and Engineering ICPM2, Ed. K. Vafai, CD-ROM, Engineering Conferences International, 2007


• Beneš M., Fučík R., Mikyška J. and Illangasekare T.H. Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium. In: Proceedings of the 2nd International Conference on Porous Media and its Applications in Science and Engineering ICPM2, Ed. K. Vafai, CD-ROM, Engineering Conferences International, 2007


• Fučík R., Illangasekare T.H. and Mikyška J., Evaluation of Saturation-dependent Flux on Two-Phase Flow Using Generalized Semi-Analytic Solution, in Beneš M., Mikyška J. and Oberhuber T., editors, Proceedings of the Czech Japanese Seminar in Applied Mathematics. Prague: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2005. ISBN 80-01-03181-0, pp. 23--35


• Mikyška J. and Illangasekare T.H., Application of a Multiphase Flow Model for Simulations of NAPL Behavior at Inclined Material Interfaces, in Beneš M., Mikyška J. and Oberhuber T., editors, Proceedings of the Czech Japanese Seminar in Applied Mathematics. Prague: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2005. ISBN 80-01-03181-0, pp. 117--127


• Beneš M., Illangasekare T., Mikyška J. and Turner A., Development and Validation of a Multiphase Flow Model for Applications in NAPL behaviour in Heterogeneous Porous Medium, in Zpracování a interpretace dat z průzkumných a sanačních prací II, Sborník pracovního semináře 051130, Ekomonitor (Vodní zdroje a.s.), eds. Pecinová A., Halousková O., ISBN 80-86832-16-3


• Mikyška J., Beneš M., Turner A. and Illangasekare T.H., Development and Validation of a Multiphase Flow Model for Applications in NAPL Behaviour in Highly Heterogeneous Aquifer Formations, in Proceedings on FEM_MODFLOW and More, eds. Kovář K., Hrkal Z. and Bruthans J., 13 - 16 September, 2004, Karlovy Vary, Czech Republic, pp. 215-218


• Beneš, M., Fučík, R., Mikyška, J. and Illangasekare, T.H., Generalization of the benchmark solution for the two-phase porous-media flow, in Proceedings on FEM_MODFLOW and More, eds. K. Kovář, Z. Hrkal and J. Bruthans, 13 - 16 September, 2004, Karlovy Vary, Czech Republic, pp. 181-184


• Mikyška, J. and Beneš, M., Geothermal Flow in Porous Media, in Proceedings on Equadiff 10, Prague, August 2001, pp. 25--36, Charles University Prague 2002, ISBN 80-210-2809-2


• Mikyška, J., Modelling Geothermal Flow Using Streamfunction Formulation, proceedings on ACOMEN 2002, CD-ROM, ISBN 2-930322-39-X

Industrial Technical Reports

• Solovský J. and Fučík R., Numerical study of the rectangular column experiment: Run 4, Internal MMG report No MMG 1-17, July 2017.


• Fučík, R., A Computational Study of Complete TCE Volatilization in Unsaturated Porous Medium, a final report of the Strategic Environmental Research and Development Program Grant ER-1687


• Pártl O. Numerical Simulation of Gas Flow in Porous Medium and above its Surface, Technical Report MMG 3-14. Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2014.


• Žák A., Numerical Study of Phase Transition within Saturated Freezing Soil on Pore-Scale using Thermo-Mechanical Model, Technical Report MMG 4-14. Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2014.


• Fučík, R. A Computational Study of Complete TCE Volatilization in Unsaturated Porous Medium, final report of the Strategic Environmental Research and Development Program Grant ER-1687, Colorado School of Mines, 2013

Ph.D. theses

• T. Smejkal: Phase Equilibrium Computation and Compositional Simulation, Ph.D. dissertation thesis, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, supervisor J. Mikyška, defended January 21, 2022


• A. Žák: Mathematical Models of Phase Transitions in Porous Media, Ph.D. dissertation thesis, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, supervisor M. Beneš, defended 2019


• O. Pártl: Mathematical Modeling of Non-Isothermal Compositional Compressible Fluid Flow in Porous Medium and above Its Surface, Ph.D. dissertation thesis, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, supervisor M. Beneš, defended 2019


• Polívka O. Mathematical Modeling of Two-Phase Compositional Flow in Porous Media, Ph.D. dissertation thesis, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, supervisor Mikyška J., defended December 8 2017


• Fučík R. Advanced Numerical Methods for Modelling Two-Phase Flow in Heterogeneous Porous Media, PhD thesis, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, supervisor Mikyška J., November 2010


• Mikyška J. Numerical Model for Simulation of Behaviour of Non-Aqueous Phase Liquids in Heterogeneous Porous Media Containing Sharp Texture Transitions, PhD thesis, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, July 2005

Habilitations

• Mikyška J. Mathematical modeling of transport of chemicals in the subsurface, habilitation thesis in Applied Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, June 2015

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