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Mullis, AM; Bollada, PC; Jimack, PK (2014)
Publisher: Trans Tech Publications
Languages: English
Types: Article
Subjects:
We review the application of advanced numerical techniques such as adaptive mesh refinement, implicit time-stepping, multigrid solvers and massively parallel implementations as a route to obtaining solutions to the 3-dimensional phase-field problem for coupled heat and solute transport during non-isothermal alloy solidification. Using such techniques it is shown that such models are tractable for modest values of the Lewis number (ratio of thermal to solutal diffusivities). Solutions to the 3-dimensional problem are compared with existing solutions to the equivalent 2-dimensional problem.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] J.S. Langer, in G. Grinstein and G. Mazenko (Eds) Directions in condensed matter physics, World Scientific Publishing, Singapore, 1986 pp. 164.
    • [2] O. Penrose and P.C. Fife, Physica D 43 (1990) 44.
    • [3] J.C. LaCombe, M.B. Koss, and M.E. Glicksman, Phys. Rev. Lett. 83 (1999) 2997.
    • [4] J.C. Ramirez and C. Beckermann, Acta Mater. 53 (2005) 1721.
    • [5] J. Rosam, P.K. Jimack and A.M. Mullis, Acta Mater. 56 (2008) 4559.
    • [6] B. Echebarria, R. Folch, A. Karma and M. Plapp, Phys. Rev. E 70 (2004) 061604.
    • [7] A. Karma and W.-J. Rappel, Phys. Rev. E 53 (1996) R3017.
    • [8] W. Hundsdorfer and J.G. Verwer, Numerical Solution of Time-Dependent AdvectionDiffusion-Reaction Equations, Springer, Verlag, 2003.
    • [9] A. Brandt, Math. Comput. 31 (1977) 333.
    • [10] PhAIM2-d is available from www.digital.leeds.ac.uk/software as an OpenSource download.
    • [11] K. Olson, in A. Deane et al. (Eds) Parallel Computational Fluid Dynamics 2005: Theory and Applications, Elsevier, 2006.
    • [12] J. R. Green, P.K. Jimack, A.M. Mullis and J. Rosam, Partial Differential Eq, 27 (2011) 106.
    • [13] A. Karma and W.-J. Rappel, Phys. Rev. Lett., 77 (1996) 4050.
    • [14] J.H. Jeong, N. Goldenfeld and J. Dantzig, Phys. Rev. E 64 (2001) 041602. [15]C. Goodyer, P.K. Jimack, A.M. Mullis, H. Dong, X. Yu, Adv. Appl. Math. Mech. 4 (2012) 665.
    • [16] J. Rosam, P. K. Jimack and A. M. Mullis, Phys. Rev. E 79 030601 (2009).
    • [17] J. Lipton, W. Kurz and R. Trivedi, Acta Metall. 35 (1987) 957.
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