Presented by:
Bjorn Stinner
Date:
Thursday 5th December 2019 - 14:15 to 15:00
Venue:
INI Seminar Room 2
Event:
Abstract:
Diffuse interface models based on the phase
field methodology have been developed and investigated in various applications
such as solidification processes, tumour growth, or multi-phase flow. The
interfaces are represented by thin layers, across which quantities rapidly but
smoothly change their values. These interfacial layers are described in terms
of order parameters, the equations for which can be solved using relatively
straightforward methods, such as finite elements with adaptive mesh refinement,
as no tracking of any interface is required. The interface motion is usually
coupled to other fields and equations adjacent or on the interface, for
instance, diffusion equations in alloys or the momentum equation in fluid flow.
We discuss how such systems can be incorporated into phase field models in a
generic way. Furthermore, we present a computational framework where specific
models can be implemented and later on conveniently amended, if desired, in a
high-level language, and which then bind to efficient software backends. A
couple of code listings and numerical simulations serve to illustrate the
approach
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