Integrated modeling and validation for phase change with natural convection

摘要

Water-ice systems undergoing melting develop complex spatio-temporalinterface dynamics and a non-trivial temperature field. In this contribution,we present computational aspects of a recently conducted validation study thataims at investigating the role of natural convection for cryo-interfacedynamics of water-ice. We will present a fixed grid model known as the enthalpyporosity method. It is based on introducing a phase field and employs mixturetheory. The resulting PDEs are solved using a finite volume discretization. Thesecond part is devoted to experiments that have been conducted for modelvalidation. The evolving water-ice interface is tracked based on optical imagesthat shows both the water and the ice phase. To segment the phases, we use abinary Mumford Shah method, which yields a piece-wise constant approximation ofthe imaging data. Its jump set is the reconstruction of the measured phaseinterface. Our combined simulation and segmentation effort finally enables usto compare the modeled and measured phase interfaces continuously. We concludewith a discussion of our findings.