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Title: Phase field benchmark problems for dendritic growth and linear elasticity

We present the second set of benchmark problems for phase field models that are being jointly developed by the Center for Hierarchical Materials Design (CHiMaD) and the National Institute of Standards and Technology (NIST) along with input from other members in the phase field community. As the integrated computational materials engineering (ICME) approach to materials design has gained traction, there is an increasing need for quantitative phase field results. New algorithms and numerical implementations increase computational capabilities, necessitating standard problems to evaluate their impact on simulated microstructure evolution as well as their computational performance. We propose one benchmark problem for solidifiication and dendritic growth in a single-component system, and one problem for linear elasticity via the shape evolution of an elastically constrained precipitate. We demonstrate the utility and sensitivity of the benchmark problems by comparing the results of 1) dendritic growth simulations performed with different time integrators and 2) elastically constrained precipitate simulations with different precipitate sizes, initial conditions, and elastic moduli. As a result, these numerical benchmark problems will provide a consistent basis for evaluating different algorithms, both existing and those to be developed in the future, for accuracy and computational efficiency when applied to simulate physics often incorporatedmore » in phase field models.« less
Authors:
 [1] ;  [2] ;  [3] ;  [3] ;  [4]
  1. Northwestern Univ., Evanston, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Northwestern Univ., Evanston, IL (United States)
  3. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
  4. Northwestern-Argonne Institute of Science and Engineering, Evanston, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Grant/Contract Number:
AC02-06CH11357
Type:
Accepted Manuscript
Journal Name:
Computational Materials Science
Additional Journal Information:
Journal Volume: 149; Journal Issue: C; Journal ID: ISSN 0927-0256
Publisher:
Elsevier
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org:
National Institute of Standards and Technology (NIST); Center for Hierarchical Materials Design (CHiMaD); USDOE
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Benchmark; Dendrite; Elasticity; Phase field
OSTI Identifier:
1435955

Jokisaari, Andrea M., Voorhees, P. W., Guyer, Jonathan E., Warren, James A., and Heinonen, O. G.. Phase field benchmark problems for dendritic growth and linear elasticity. United States: N. p., Web. doi:10.1016/j.commatsci.2018.03.015.
Jokisaari, Andrea M., Voorhees, P. W., Guyer, Jonathan E., Warren, James A., & Heinonen, O. G.. Phase field benchmark problems for dendritic growth and linear elasticity. United States. doi:10.1016/j.commatsci.2018.03.015.
Jokisaari, Andrea M., Voorhees, P. W., Guyer, Jonathan E., Warren, James A., and Heinonen, O. G.. 2018. "Phase field benchmark problems for dendritic growth and linear elasticity". United States. doi:10.1016/j.commatsci.2018.03.015.
@article{osti_1435955,
title = {Phase field benchmark problems for dendritic growth and linear elasticity},
author = {Jokisaari, Andrea M. and Voorhees, P. W. and Guyer, Jonathan E. and Warren, James A. and Heinonen, O. G.},
abstractNote = {We present the second set of benchmark problems for phase field models that are being jointly developed by the Center for Hierarchical Materials Design (CHiMaD) and the National Institute of Standards and Technology (NIST) along with input from other members in the phase field community. As the integrated computational materials engineering (ICME) approach to materials design has gained traction, there is an increasing need for quantitative phase field results. New algorithms and numerical implementations increase computational capabilities, necessitating standard problems to evaluate their impact on simulated microstructure evolution as well as their computational performance. We propose one benchmark problem for solidifiication and dendritic growth in a single-component system, and one problem for linear elasticity via the shape evolution of an elastically constrained precipitate. We demonstrate the utility and sensitivity of the benchmark problems by comparing the results of 1) dendritic growth simulations performed with different time integrators and 2) elastically constrained precipitate simulations with different precipitate sizes, initial conditions, and elastic moduli. As a result, these numerical benchmark problems will provide a consistent basis for evaluating different algorithms, both existing and those to be developed in the future, for accuracy and computational efficiency when applied to simulate physics often incorporated in phase field models.},
doi = {10.1016/j.commatsci.2018.03.015},
journal = {Computational Materials Science},
number = C,
volume = 149,
place = {United States},
year = {2018},
month = {3}
}