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Citation link: http://nbn-resolving.de/urn:nbn:de:gbv:46-00106445-14
00106445-1.pdf
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Modellierung und Simulation von Prozessen mit fest-flüssig Phasenübergang und freiem Kapillarrand


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00106445-1.pdf39.62 MBAdobe PDFView/Open
Other Titles: Modeling and simulation of processes involving solid-liquid phase transitions and a free capillary surface
Authors: Luttmann, Andreas  
Supervisor: Schmidt, Alfred
1. Expert: Schmidt, Alfred
2. Expert: Bänsch, Eberhard 
Abstract: 
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.
Keywords: laser beam welding, thermal upsetting, melting, solidification, fluid dynamics, Navier-Stokes, Stefan problem, free capillary surface, wetting, triple junctions, finite element method, interface tracking, interface capturing, ALE formulation, decoupling strategy
Issue Date: 28-Feb-2018
Type: Dissertation
URN: urn:nbn:de:gbv:46-00106445-14
Institution: Universität Bremen 
Faculty: FB3 Mathematik/Informatik 
Appears in Collections:Dissertationen

  

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