author_facet Jäger, Stephan
Ludwig, Andreas
Jäger, Stephan
Ludwig, Andreas
author Jäger, Stephan
Ludwig, Andreas
spellingShingle Jäger, Stephan
Ludwig, Andreas
IOP Conference Series: Materials Science and Engineering
Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
General Medicine
author_sort jäger, stephan
spelling Jäger, Stephan Ludwig, Andreas 1757-8981 1757-899X IOP Publishing General Medicine http://dx.doi.org/10.1088/1757-899x/529/1/012028 <jats:title>Abstract</jats:title> <jats:p>An efficient model for the prediction of dendritic grain growth is developed coupling the lattice Boltzmann method for solving the transport of solute and a cellular automaton algorithm for determining the evolution of grains’ envelope and the release of solute during phase change. In contrast to solving equations from the field of continuum mechanics the new model is more related to particular occasions what is more similar to the behaviour of cellular automaton algorithms. The resulting dendritic grain growth shows qualitative correctness, although the consideration of solute conservation is still missing. It is shown that neglecting proposed conditions regarding the choice of time step size can destabilize the solid-liquid interface resulting in secondary and ternary dendrite arms.</jats:p> Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm IOP Conference Series: Materials Science and Engineering
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series IOP Conference Series: Materials Science and Engineering
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title Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_unstemmed Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_full Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_fullStr Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_full_unstemmed Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_short Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_sort efficient model for the prediction of dendritic grain growth using the lattice boltzmann method coupled with a cellular automaton algorithm
topic General Medicine
url http://dx.doi.org/10.1088/1757-899x/529/1/012028
publishDate 2019
physical 012028
description <jats:title>Abstract</jats:title> <jats:p>An efficient model for the prediction of dendritic grain growth is developed coupling the lattice Boltzmann method for solving the transport of solute and a cellular automaton algorithm for determining the evolution of grains’ envelope and the release of solute during phase change. In contrast to solving equations from the field of continuum mechanics the new model is more related to particular occasions what is more similar to the behaviour of cellular automaton algorithms. The resulting dendritic grain growth shows qualitative correctness, although the consideration of solute conservation is still missing. It is shown that neglecting proposed conditions regarding the choice of time step size can destabilize the solid-liquid interface resulting in secondary and ternary dendrite arms.</jats:p>
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author Jäger, Stephan, Ludwig, Andreas
author_facet Jäger, Stephan, Ludwig, Andreas, Jäger, Stephan, Ludwig, Andreas
author_sort jäger, stephan
container_issue 1
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container_title IOP Conference Series: Materials Science and Engineering
container_volume 529
description <jats:title>Abstract</jats:title> <jats:p>An efficient model for the prediction of dendritic grain growth is developed coupling the lattice Boltzmann method for solving the transport of solute and a cellular automaton algorithm for determining the evolution of grains’ envelope and the release of solute during phase change. In contrast to solving equations from the field of continuum mechanics the new model is more related to particular occasions what is more similar to the behaviour of cellular automaton algorithms. The resulting dendritic grain growth shows qualitative correctness, although the consideration of solute conservation is still missing. It is shown that neglecting proposed conditions regarding the choice of time step size can destabilize the solid-liquid interface resulting in secondary and ternary dendrite arms.</jats:p>
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spelling Jäger, Stephan Ludwig, Andreas 1757-8981 1757-899X IOP Publishing General Medicine http://dx.doi.org/10.1088/1757-899x/529/1/012028 <jats:title>Abstract</jats:title> <jats:p>An efficient model for the prediction of dendritic grain growth is developed coupling the lattice Boltzmann method for solving the transport of solute and a cellular automaton algorithm for determining the evolution of grains’ envelope and the release of solute during phase change. In contrast to solving equations from the field of continuum mechanics the new model is more related to particular occasions what is more similar to the behaviour of cellular automaton algorithms. The resulting dendritic grain growth shows qualitative correctness, although the consideration of solute conservation is still missing. It is shown that neglecting proposed conditions regarding the choice of time step size can destabilize the solid-liquid interface resulting in secondary and ternary dendrite arms.</jats:p> Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm IOP Conference Series: Materials Science and Engineering
spellingShingle Jäger, Stephan, Ludwig, Andreas, IOP Conference Series: Materials Science and Engineering, Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm, General Medicine
title Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_full Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_fullStr Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_full_unstemmed Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_short Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
title_sort efficient model for the prediction of dendritic grain growth using the lattice boltzmann method coupled with a cellular automaton algorithm
title_unstemmed Efficient model for the prediction of dendritic grain growth using the lattice Boltzmann method coupled with a cellular automaton algorithm
topic General Medicine
url http://dx.doi.org/10.1088/1757-899x/529/1/012028