2011
DOI: 10.1016/j.ijheatfluidflow.2010.09.006
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Lattice Boltzmann model for thermal free surface flows with liquid–solid phase transition

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Cited by 95 publications
(51 citation statements)
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“…Körner et al [10] use the lattice Boltzmann method (LBM) under the assumption that the electron beam melting process can be represented in 2D. One big hurdle in this method is the severe numerical instabilities occurring when accounting for the temperature.…”
Section: Introductionmentioning
confidence: 99%
“…Körner et al [10] use the lattice Boltzmann method (LBM) under the assumption that the electron beam melting process can be represented in 2D. One big hurdle in this method is the severe numerical instabilities occurring when accounting for the temperature.…”
Section: Introductionmentioning
confidence: 99%
“…The method has been used successfully in the simulation of liquid-gas flows of high viscosity and density ratio. Examples can be found in Ammer et al (2014); Anderl et al (2014); Attar and Körner (2011); Donath et al (2010); Janßen (2010); Janssen et al (2010); N. Thürey (2004; Xing et al (2007a,b), and in Bogner and Rüde (2013); Svec et al (2012) for complex liquid-gas-solid flows. However, no theoretical analysis of the FSLBM is currently available.…”
Section: Motivationmentioning
confidence: 99%
“…We use numerical simulation in order to understand the correlation between scanning strategy, resulting solidification conditions and microstructure. The numerical model (based on the Lattice Boltzmann Method) which we have developed for simulation of powder bed based additive manufacturing processes has been described in several publications [8][9][10][11][12][13][14][15]. The beam melting process is simulated on the powder scale, i.e.…”
Section: Numerical Simulationsmentioning
confidence: 99%