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Termální konvekce s volným povrchem v rotujícím ledovém měsíci
Kuchta, Miroslav ; Čadek, Ondřej (advisor) ; Málek, Josef (referee)
Thermal convection with evolving surface in a rotating icy satellite Master's Thesis author: Miroslav Kuchta∗ supervisor: Doc. RNDr. Ondřej Čadek, CSc.† Keywords: Stokes-Fourier system, Free surface, Finite-differences Abstract This thesis is concerned with modeling the surface deformations and thermal convection in a rotating icy satellite. The system of gov- erning equations, that we derive from general balance laws, is solved numerically using the finite-difference method on a staggered grid. Free surface is understood as implicitly described interface between the satellite and an almost massless medium with viscosity orders of magnitude smaller than ice. We design a numerical method capable of tracking the deforming surface. The numerical method is applied to models with temperature-dependent viscosity. ∗ Mathematical Institute of Charles University, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. miroslav.kuchta@gmail.com † Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. oc@karel.troja.mff.cuni.cz 1
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Surface manifestation of melting within the ice shell of Europa
Vach, Dominik ; Kalousová, Klára (advisor) ; Velímský, Jakub (referee)
One of the most interesting extraterrestrial bodies in the Solar System is Europa, the icy satellite of Jupiter. This icy moon might have a sufficiently hospitable environment which could be harbouring life in the subsurface ocean deep under its icy crust. The thesis thoroughly examines the generation process of one of the surface formations called chaotic terrains. These huge areas of ice disruptions which uniquely characterize Europa's surface might play a significant role in the understanding of the inner structure of the moon. The latest research assumes the chaotic terrains form above liquid water lenses perched relatively shallow in the ice shell, however, no numerical simulations have been performed to confirm this theory. The goal of the thesis is to create a model which would validate the theory and explain the formation process of the chaotic terrains. The thesis runs several simulations, and our results suggest these water lenses and the process in the mantle might play a key role in the chaotic terrains formation.
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Termální konvekce s volným povrchem v rotujícím ledovém měsíci
Kuchta, Miroslav ; Čadek, Ondřej (advisor) ; Málek, Josef (referee)
Thermal convection with evolving surface in a rotating icy satellite Master's Thesis author: Miroslav Kuchta∗ supervisor: Doc. RNDr. Ondřej Čadek, CSc.† Keywords: Stokes-Fourier system, Free surface, Finite-differences Abstract This thesis is concerned with modeling the surface deformations and thermal convection in a rotating icy satellite. The system of gov- erning equations, that we derive from general balance laws, is solved numerically using the finite-difference method on a staggered grid. Free surface is understood as implicitly described interface between the satellite and an almost massless medium with viscosity orders of magnitude smaller than ice. We design a numerical method capable of tracking the deforming surface. The numerical method is applied to models with temperature-dependent viscosity. ∗ Mathematical Institute of Charles University, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. miroslav.kuchta@gmail.com † Department of Geophysics, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. oc@karel.troja.mff.cuni.cz 1
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