2023

Gális, P., and Mikyška, J., Mathematical modeling of the multicomponent flow in porous media using higher-order methods, Journal of Computational Physics, Vol. 49315, article number 112468, November 2023, DOI: 10.1016/j.jcp.2023.112468.

Mikyška, J., Robust and efficient methods for solving the Rachford-Rice equation in flash equilibrium calculation, Fluid Phase Equilibria, 571, article number 113803, August 2023, DOI: 10.1016/j.fluid.2023.113803.

Jex, M., Mikyška, J., An improved branch and bound algorithm for phase stability testing of multicomponent mixtures, Fluid Phase Equilibria, 566, article number 113695, March 2023, DOI: 10.1016/j.fluid.2022.113695.

2022

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

2021

Smejkal, T., Firoozabadi, A., and Mikyška, J., Unified thermodynamic stability analysis in fluids and elastic materials, Fluid Phase Equilibria, 549, article number 113219, December 2021, DOI: 10.1016/j.fluid.2021.113219.

Gális, P., and Mikyška, J., Mathematical Modeling of the Single-Phase Multicomponent Flow in Porous Media , in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 12747 LNCS, pp. 200 - 214, 2021, 21st International Conference on Computational Science, ICCS 2021, DOI: 10.1007/978-3-030-77980-1_16.

Smejkal, T., and Mikyška, J., Multi-phase Compressible Compositional Simulations with Phase Equilibrium Computation in the VTN Specification, in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 12747 LNCS, pp. 159 - 172, 2021, 21st International Conference on Computational Science, ICCS 2021, 10.1007/978-3-030-77980-1_13.

Fučík, R., Solovský, J., Plampin, M.R., Wu, H., Mikyška, J., and Illangasekare, T.H., Computational methodology to analyze the effect of mass transfer rate on attenuation of leaked carbon dioxide in shallow aquifers, Acta Polytechnica, 61: 77-88, Special Issue, March 2021, DOI: 10.14311/AP.2021.61.0077.

Smejkal, T., Mikyška, J., and Kukal, J. Comparison of modern heuristics on solving the phase stability testing problem, Discrete and Continuous Dynamical Systems - Series S, 14(3): 1161-1180, Special Issue, March 2021.

Smejkal, T., and Mikyška, J., Efficient solution of linear systems arising in the linearization of the VTN-phase stability problem using the Sherman-Morrison iterations, Fluid Phase Equilibria, 527: article number 112832, January 1, 2021.

2020

Solovský, J., Fučík, R., Plampin, M.R., Illangasekare, T.H., and Mikyška, J., Dimensional effects of inter-phase mass transfer on attenuation of structurally trapped gaseous carbon dioxide in shallow aquifers, Journal of Computational Physics, 405: article number 109178, March 15, 2020.

Smejkal, T., Mikyška, J., and Fučík, R., 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: article number 119050, February 2020.

Smejkal, T., and Mikyška, J., VTN-phase stability testing using the Branch and Bound strategy and the convex-concave splitting of the Helmholtz free energy density, Fluid Phase Equilibria, 504: article number 112323, January 15, 2020.

Franců, J., Mikyška, J., An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics, Journal of Computational Physics, 400: article number 108962, January 1, 2020.

2019

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

Fučík, R., Klinkovský, J., Solovský, J., Oberhuber, T., Mikyška, J., Multidimensional mixed–hybrid finite element method for compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU, Computer Physics Communications, 238: 165-180, 2019.

Mikyška, J., A Collection of Analytical Solutions for the Flash Equilibrium Calculation Problem, Transport in Porous Media, 126(3): 683-699, 2019.

2018

Smejkal, T., and Mikyška, J., Unified presentation and comparison of various formulations of the phase stability and phase equilibrium calculation problems, Fluid Phase Equilibria, 476: 61–88, 2018

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, 50(1): 1367–1395, 2018

2017

Feireisl, E., Mikyška, J., Petzeltová, H., and Takáč, P., On the motion of chemically reacting fluids through porous medium, Springer Proceedings in Mathematics and Statistics, 209: 139–152, 2017

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

2016

Polívka, O., and Mikyška, J., Energy Inequalities in Compositional Simulation, in Proceedings of Algoritmy 2016, 20th Conference on Scientific Computing, Vysoké Tatry - Podbanské, Slovakia, March 14 - 18, 2016. Proceedings of contributed papers by A. Handlovičová and D. Ševčovič (eds.), 224–233, Publishing House of Slovak University of Technology in Bratislava, 2016, ISBN: 978-80-227-4544-4

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 & Fuels, 30: 515–525, 2016

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

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., General algorithm for multiphase equilibria calculation at given volume, temperature, and moles, Fluid Phase Equilibria, 393: 7–25, 2015

2014

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

2013

Jindrová, T., and Mikyška, J., Fast and Robust Algorithm for Calculation of Two-Phase Equilibria at Given Volume, Temperature, and Moles, Fluid Phase Equilibria, Vol. 353 (Sep 15, 2013), pp. 101–114, 2013

Polívka, O., and Mikyška, J., Combined Mixed-Hybrid Finite Element-Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media, in Numerical Mathematics and Advanced Applications 2011, ENUMATH 2003 (peer reviewed proceedings), pp. 559--567, by A. Cangiani et al. (eds.), DOI 10.1007/978-3-642-33134-3_59, Springer Verlag, 2013

2012

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

2011

Polívka, O., and Mikyška, J., Numerical Simulation of Multicomponent Compressible Flow in Porous Medium, Journal of Math-for-Industry, Vol. 3 (2011C-7), pp. 53–60, 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 (2011C-2), pp. 9–19, 2011

Fučík, R., and Mikyška, J., Numerical Investigation of Dynamic Capillary Pressure in Two-Phase Flow in Porous Medium, Mathematica Bohemica, 136(4):395-403, 2011

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

Mikyška, J., and Firoozabadi, A., A New Thermodynamic Function for Phase-Splitting at Constant Temperature, Moles, and Volume, AIChE Journal, 57(7):1897-1904, 2011

2010

Fučík, R., and Mikyška, J., Sakaki, T., Beneš, M., Illangasekare, T.H., Significance of Dynamic Effect in Capillarity during Drainage Experiments in Layered Porous Media, Vadose Zone Journal, 9(3):697-708, 2010

Mikyška, J., and Firoozabadi, A., Implementation of Higher-Order Methods for Robust and Efficient Compositional Simulation, Journal of Computational Physics, 229(8): 2898-2913, 2010

2009

Beneš, M., Fučík, R., and Mikyška, J., Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium, Journal of Porous Media, 12(12): 1139-1152, 2009

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, 12(7): 685-694, 2009

2008

Fučík, R., Mikyška, J., Beneš, M. and Illangasekare, T.H., Semianalytical Solution for Two-Phase Flow in Porous Media with a Discontinuity, Vadose Zone Journal, 7(3): 1001-1007, 2008

2007

Fučík, R., Mikyška, J., Beneš, M. and Illangasekare, T. H., An Improved Semi-Analytical Solution for Verification of Numerical Models of Two-Phase Flow in Porous Media, Vadose Zone Journal, 6:93-104 (2007), ISSN 1539-1663

Mikyška, J. and T. H. Illangasekare: Application of a Multiphase Flow Code for Investigation of Influence of Capillary Pressure Parameters on Two-Phase Flow, Kybernetika, 43(6): 831-840, 2007

2004

Mikyška, J., Šenkýř, M. and Beneš, M., Application of parallel computing techniques for problems of degenerated diffusion, in Numerical Mathematics and Advanced Applications, ENUMATH 2003 (peer reviewed proceedings), pp. 756--766, eds. M. Feistauer, V Dolejší, P. Knobloch, K. Najzar, Springer Verlag, 2004, ISBN 3-540-21460-7