Luttmann, Andreas
[Author]
;
Schmidt, Alfred
[Contributor];
Bänsch, Eberhard
[Contributor]
Modellierung und Simulation von Prozessen mit fest-flüssig Phasenübergang und freiem Kapillarrand ; Modeling and simulation of processes involving solid-liquid phase transitions and a free capillary surface
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Media type:
E-Book;
Doctoral Thesis;
Electronic Thesis
Title:
Modellierung und Simulation von Prozessen mit fest-flüssig Phasenübergang und freiem Kapillarrand ; Modeling and simulation of processes involving solid-liquid phase transitions and a free capillary surface
Contributor:
Luttmann, Andreas
[Author]
imprint:
Universität Bremen; Fachbereich 03: Mathematik/Informatik (FB 03), 2018-02-28
Footnote:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Description:
In this thesis, the material and heat transport for manufacturing processes including a partial melting of metallic workpieces is modeled and simulated. The key aspects of the model are the Navier-Stokes equations including a free capillary surface and wetting for the liquid part and, either a two-phase Stefan problem (interface capturing) or the heat equation in combination with a Stefan condition (interface tracking) to consider the energy balance and allow solid-liquid phase transitions. Both approaches lead to different numerical methods based on an ALE finite element discretization, in which the numerical treatment of the triple junction (solid, liquid, surrounding gas) is crucial. In order to benefit from each method's advantages whilst avoiding their disadvantages, a combined method is proposed. As a simpler but less accurate alternative, a stabilized variant of the interface capturing approach is proposed. The simulation results are validated using experimental data.