DOI: 10.1006/jcph.1998.6122. Adaptive Mesh Refinement Computation of Solidification Microstructures Using Dynamic Data Structures

Adaptive Mesh Refinement Computation of Solidification Microstructures Using Dynamic Data Structures

10.1006/jcph.1998.6122

Crossref journal-article

Elsevier BV

Journal of Computational Physics (78)

Bibliography

Provatas, N., Goldenfeld, N., & Dantzig, J. (1999). Adaptive Mesh Refinement Computation of Solidification Microstructures Using Dynamic Data Structures. Journal of Computational Physics, 148(1), 265â290.

Authors 3

Nikolas Provatas (first)
Nigel Goldenfeld (additional)
Jonathan Dantzig (additional)

References 49 Referenced 215

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{'key': '10.1006/jcph.1998.6122_RF3', 'first-page': '4', 'volume': '4', 'author': 'Glicksman', 'year': '1997', 'journal-title': 'Microgravity News NASA'} / Microgravity News NASA by Glicksman (1997)
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J. S. Langer, Lectures in the theory of pattern formation, Chance and Matter, Les Houches Session XLVI, North Holland, Amsterdam, 1987, 629
10.1080/00018738800101379 / Adv. Phys. / Pattern selection in fingered growth phenomena by Kessler (1988)
{'key': '10.1006/jcph.1998.6122_RF7', 'first-page': '567', 'article-title': 'Temperature field around spherical, cylindrical and neeedle-shaped crystals which grow in supercooled melt', 'volume': '58', 'author': 'Ivantsov', 'year': '1947', 'journal-title': 'Dokl. Akad. Nauk USSR'} / Dokl. Akad. Nauk USSR / Temperature field around spherical, cylindrical and neeedle-shaped crystals which grow in supercooled melt by Ivantsov (1947)
10.1016/0001-6160(61)90008-6 / Acta Metall. / Dendritic and spheroidal growth by Horvay (1961)
{'key': '10.1006/jcph.1998.6122_RF9', 'first-page': '609', 'article-title': 'Growth rate of the needle-crystal formed in a supercooled melt', 'volume': '132', 'author': 'Temkin', 'year': '1960', 'journal-title': 'Dokl. Akad. Nauk USSR'} / Dokl. Akad. Nauk USSR / Growth rate of the needle-crystal formed in a supercooled melt by Temkin (1960)
10.1103/PhysRevLett.51.1111 / Phys. Rev. Lett. / Geometrical approach to moving-interface dynamics by Brower (1983)
10.1103/PhysRevLett.51.1930 / Phys. Rev. Lett. / Dynamics of interfacial pattern formations by Ben-Jacob (1983)
10.1103/PhysRevLett.53.2110 / Phys. Rev. Lett. / Pattern selection in dendritic solidification by Ben-Jacob (1984)
10.1103/PhysRevA.30.3161 / Phys. Rev. A / Geometrical models of interface evolution. II. Numerical simulation by Kessler (1984)
10.1080/00018739100101472 / Adv. Phys. / Pattern selection in two-dimensional dendritic growth by Brener (1991)
Y. Pomeau, M. Ben Amar, Dendritic growth and related topics, Solids Far from Equilibrium, C. Godrèche, Cambridge, Univ. Press, Cambridge, UK, 1991, 365
10.1103/PhysRevA.36.3350 / Phys. Rev. A / Dendritic sidebranching in the three-dimensional symmetric model in the presence of noise by Langer (1987)
10.1103/PhysRevE.48.3441 / Phys. Rev. E / Fluctuations in solidification by Karma (1993)
10.1103/PhysRevE.51.351 / Phys. Rev. E / Noise-induced sidebranching in the three-dimensional nonaxisymmetric growth by Brener (1995)
10.1016/S0021-9991(83)71112-5 / J. Comput. Phys. / Variational algorithms and pattern formation in dendritic growth by Almgren (1993)
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Dates

Type	When
Created	22 years, 10 months ago (Oct. 7, 2002, 1:09 p.m.)
Deposited	5 years, 8 months ago (Dec. 17, 2019, 12:35 p.m.)
Indexed	4 weeks, 1 day ago (Aug. 7, 2025, 4:50 p.m.)
Issued	26 years, 8 months ago (Jan. 1, 1999)
Published	26 years, 8 months ago (Jan. 1, 1999)
Published Print	26 years, 8 months ago (Jan. 1, 1999)

Funders 0

None

BibTeX

@article{Provatas_1999, title={Adaptive Mesh Refinement Computation of Solidification Microstructures Using Dynamic Data Structures}, volume={148}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.1998.6122}, DOI={10.1006/jcph.1998.6122}, number={1}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Provatas, Nikolas and Goldenfeld, Nigel and Dantzig, Jonathan}, year={1999}, month=jan, pages={265–290} }

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