20160926
We will discuss the modelling and simulation of generalized Stefan problems to describe phasechange processes in water ice. An idealized mathematical system for the classical Stefan problem consists of two freeboundary secondorder partial differential equations for both the solid, and the liquid phase. The system is closed by assuming local energy balance at the interface, a constraint on the heat flux jump referred to as the Stefan condition. When wanting to model realistic applications, however, the situation is often more complicated, and e.g. involves convection in the melt or additional forces. This then results in complex mechanically coupled thermofluiddynamical physical systems that require tailored numerical methods for the arising nonlinear PDEs.
This presentation focuses on two specific generalizations to the classical Stefan problem along with their numerical solution. Both are inspired by the need for novel simulation methodologies in the context of innovative planetary exploration technologies. The first application addresses contact phasechange processes, in which a heat source is forced onto the ice. This results in a microscale melt film between the heat source and the solid water ice. The second application addresses the coupling of melting and refreezing processes with natural convection in the liquid melt. For both situations, we will introduce and discuss the mathematical model and a tailored fixedgrid numerical solution strategy. Finally, we will present and discuss simulation results
Category: CE SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

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