Discontinuous Finite-Element Phase-Field Modeling of Polycrystalline Grain Growth with Convection

Computers and Mathematics with Applications

Volumn 52, Issue 5, 2006, Pages 721-734

  Ai, X ^a   Shu, Y ^a   Li, B Q ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

Convection; Dendrite; Discontinuous finite element; Polycrystalline grain growth; Solidification

Indexed keywords

COMPUTATIONAL METHODS; GRAIN GROWTH; MATHEMATICAL MODELS; MICROSTRUCTURE; POLYCRYSTALLINE MATERIALS; SOLIDIFICATION;

DENDRITE; DISCONTINUOUS FINITE ELEMENT; POLYCRYSTALLINE GRAIN GROWTH;

FINITE ELEMENT METHOD;

EID: 33846884170     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.10.010     Document Type: Article

References (10)

1. Caginalp G., and Fife P. Phase-field methods for interfacial boundaries. Physical Review B 33 (1986) 7792-7794
2. Caginalp G., and Xie W. Phase-field and sharp-interface alloy models. Physical Review E 48 (1993) 1897-1909
3. Kobayashi R. Modeling and numerical simulations of dendritic crystal growth. Physica D 63 (1993) 410-423
4. Karma A., and Rappel W.-J. Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics. Physical Review E 53 (1996) 3017-3020
5. Warren J.A., Kobayashi R., Lobkovsky A.E., and Carter W.C. Extending phase field models of solidification to polycrystalline materials. Acta Materialia 51 (2003) 6035-6058
6. Kobayashi R., Warren J.A., and Carter W.C. A continuum model of grain boundaries. Physica D 140 (2000) 141-150
7. B.Q. Li, Discontinuous Finite Element Methods in Fluid Dynamics and Heat Transfer, Springer-Verlag (to appear).
8. Cockburn B., Karniadakis G.E., and Shu C.W. The development of discontinuous Galerkin methods. In: Cockburn B., Karniadakis G., and Shu C.W. (Eds). Discontinuous Galerkin Methods: Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering 11 (2000 February), Springer- Verlag, New York 3-50
9. Beckermann C., Diepers H.-J., Steinbach I., Karma A., and Tong X. Modeling melt convection in phase-field simulations of solidification. Journal of Computational Physics 15 (1999) 468-496
10. Ai X., and Li B.Q. Solution of hyperbolic heat conduction problems by discontinuous Galerkin finite element method. Engineering Computations 21 6 (2004) 577-597