Math. Model. Nat. Phenom.
Volume 16, 2021
Control of instabilities and patterns in extended systems
|Number of page(s)||12|
|Published online||16 June 2021|
- M. Alava, M. Dubé and M. Rost, Imbibition in disordered media. Adv. Phys. 53 (2004) 83–175. [Google Scholar]
- G.I. Barenblatt, V.M. Entov and V.M. Ryzhik, Theory of Fluid Flows Through Natural Rocks. Springer, Netherlands (1990). [Google Scholar]
- S. Berg and H. Ott, Stability of CO2–brine immiscible displacement. Int. J. Greenhouse Gas Control 11 (2012) 188–203. [Google Scholar]
- J.U. Brackbill, D.B. Kothe and C. Zemach, A continuum method for modeling surface tension. J. Comput. Phys. 100 (1992) 335–354. [Google Scholar]
- D. Coumou, T. Driesner, S. Geiger, C.A. Heinrich and S. Matthäi, The dynamics of mid-ocean ridge hydrothermal systems: splitting plumes and fluctuating vent temperatures. Earth Planet. Sci. Lett. 245 (2006) 218–231. [Google Scholar]
- L. Cueto-Felgueroso and R. Juanes, Nonlocal interface dynamics and pattern formation in gravity-driven unsaturated flow through porous media. Phys. Rev. Lett. 101 (2008). [CrossRef] [Google Scholar]
- M. Hekmatzadeh, M. Dadvar and M. Sahimi, Pore-network simulation of unstable miscible displacements in porous media. Transp. Porous Media 113 (2016) 511–529. [Google Scholar]
- A.O. Ivantsov and T.P. Lyubimova, Dynamics of a liquid drop in porous medium saturated by another liquid under gravity. J. Phys.: Conf. Ser. 681 (2016) 012040. [Google Scholar]
- V. Joekar-Niasar and S.M. Hassanizadeh, Analysis of fundamentals of two-phase flow in porous media using dynamic pore-network models: a review. Crit. Rev. Environ. Sci. Technol. 42 (2012) 1895–1976. [Google Scholar]
- L.W. Lake, Enhanced oil recovery 1 (1989). [Google Scholar]
- D.V. Lyubimov and S.V. Shklyaev, Instability of the motion of a drop in filtration flows. Fluid Dyn. 40 (2005) 777–784. [Google Scholar]
- D.V. Lyubimov, S. Shklyaev, T.P. Lyubimova and O. Zikanov, Instability of a drop moving in a brinkman porous medium. Phys. Fluids 21 (2009) 014105. [CrossRef] [Google Scholar]
- D.V. Lyubimov and T.P. Lyubimova, On a straight-through method of calculation for problems with deformable interface. Model. Mech. 1 (1990) 136–140. [Google Scholar]
- D.V. Lyubimov and G.A. Sedel’nikov, Effect of vibration on the stability of a plane displacement front in a porous medium. Fluid Dyn. 41 (2006) 3–11. [Google Scholar]
- P. MacNeice, K.M. Olson, C. Mobarry, R. de Fainchtein and C. Packer, PARAMESH: a parallel adaptive mesh refinement community toolkit. Comput. Phys. Commun. 126 (2000) 330–354. [Google Scholar]
- D.A. Nield and A. Bejan, Convection in Porous Media Convection in Porous Media (2017). [Google Scholar]
- S. Osher and J.A. Sethian, Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12–49. [Google Scholar]
- H.S. Rabbani, D. Or, Y. Liu, C.-Y. Lai, N.B. Lu, S.S. Datta, H.A. Stone and N. Shokri, Suppressing viscous fingering in structured porous media. Proc. Natl. Acad. Sci. 115 (2018) 4833–4838. [Google Scholar]
- Y. Saad and M.H. Schultz, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (1986) 856–869. [Google Scholar]
- M. Sahimi, Flow and Transport in Porous Media and Fractured Rock. Wiley-VCH Verlag GmbH & Co. KGaA (2011). [Google Scholar]
- V. Sharma, S. Nand, S. Pramanik, C.-Y. Chen and M. Mishra, Control of radial miscible viscous fingering. J. Fluid Mech. 884 (2020) A16. [Google Scholar]
- M. Sussman, P. Smereka and S. Osher, A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114 (1994) 146–159. [Google Scholar]
- M. Trojer, M.L. Szulczewski and R. Juanes, Stabilizing fluid-fluid displacements in porous media through wettability alteration. Phys. Rev. Appl. 3 (2015). [CrossRef] [Google Scholar]
- C.-Y. Wang, Fundamental models for fuel cell engineering. ChemInform 35 (2004). [Google Scholar]
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