40
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

An “Attachment Kinetics-based” Level-set Method for Macromolecular Crystallization under Buoyancy-driven Convective Effects

Pages 615-621 | Received 02 Aug 2004, Accepted 01 Aug 2004, Published online: 20 Aug 2006

References

  • Beckermann, C., Diepers, H.J., Steinbach, I., Karma, A. and Tong, X. (1999) “Modeling melt convection in phase-field simulations of solidification”, 154
  • Bennon WD Incropera FP 1987 A continuum model for momentum, heat and species transport in binary solid–liquid phase change systems. I. Model formulation Int. J. Heat Mass Transfer 30 10 2161 2170
  • Boistelle , CW and Astier , JP . 1988 . Crystallization mechanisms in solution . J. Cryst. Growth , 90 : 14 – 30 .
  • Brackbill JU Kothe DB Zemach C 1992 A continuum method for modeling surface tension J. Comput. Phys. 100 2 335 354
  • Brent , AD , Voller , VR and Reid , J . 1988 . Enthalpy-porosity technique for modelling convection-diffusion phase change: application to the melting of a pure metal . Numer. Heat Transfer , 13 : 297 – 318 .
  • Broom , MBH , Witherow , WK , Snyder , RS and Carter , DC . 1988 . Preliminary observations of the effect of solutal convection on crystal morphology . J. Cryst. Growth , 90 : 130 – 135 .
  • Chen S Merriman B Osher S Smereka P 1997 A simple level set method for solving Stefan problems J. Comput. Phys. 135 1 8 29
  • Coriell , SR , Chernov , AA , Murray , BT and McFadden , GB . 1998 . Step bunching: generalized kinetics . J. Cryst. Growth , 183 : 669 – 682 .
  • Gueyffier , D , Li , J , Nadim , A , Scardovelli , S and Zaleski , S . 1999 . Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows . J. Comput. Phys. , 152 : 423 – 456 .
  • Harlow , FH and Welch , JE . 1965 . Numerical calculation of time-dependent viscous incompressible flow with free surface . Phys. Fluids , 8 : 2182 – 2189 .
  • Hirt , CW and Nichols , BD . 1981 . Volume of fluid (VOF) method for the dynamics of free boundaries . J. Comput. Phys. , 39 : 201 – 218 .
  • Kim , YT , Goldenfeld , N and Dantzig , J . 2000 . Computation of dendritic microstructures using a level set method . Phys. Rev. E , 62 : 2471 – 2474 .
  • Knoll D Kothe D Lally B 1999 A new nonlinear solution method for phase change problems Numer. Heat Transfer Part B 35 4 439 459
  • Kothe, D.B., Ferrell, R.C., Turner, J.A. and Mosso, S.J. (1997) “A high resolution finite volume method for efficient parallel simulation of casting processes on unstructured meshes”, presented at the 8th SIAM Conference on Parallel Processing for Scientific Computing, Minneapolis, MN (March 14–17, 1997).
  • Lappa M 2003a The growth and the fluid-dynamics of protein crystals and soft organic tissues: models and simulations, similarities and differences J. Theor. Biol. 224 2 225 240
  • Lappa M 2003b An ‘attachment-kinetics-based’ Volume of Fraction Method for organic crystallization: a fluid-dynamic approach to macromolecular crystal engineering J. Comput. Phys. 191 1 97 129
  • Lappa M 2003c Growth and Mutual Interference of Protein Seeds under reduced gravity conditions Phys. Fluids 15 4 1046 1057 This article has been also selected by the American Physical Society for the 15 March 2003 issue of the Virtual Journal of Biological Physics Research (Volume 5, Issue 6)
  • Lappa M 2003d Organic tissues in rotating bioreactors: fluid-mechanical aspects, dynamic growth models and morphological evolution Biotechnol. Bioeng. 84 5 518 532
  • Lappa M Castagnolo D 2003 Complex dynamics of rhythmic patterns and sedimentation of organic crystals: a new numerical approach Numer. Heat Transfer Part B—Fundamentals 43 4 373 401
  • Lappa M Castagnolo D Carotenuto L 2002 Sensitivity of the non-linear dynamics of lysozyme ‘Liesegang Rings’ to small asymmetries Physica A 314 1–4 623 636
  • Lin , H , Rosenberger , F , Alexander , JID and Nadarajah , A . 1995 . Convective-diffusive transport in protein crystal growth . J. Cryst. Growth , 151 : 153 – 162 .
  • McPherson , A . 1990 . Current approaches to macromolecular crystallization . Eur. J. Biochem. , 189 : 1 – 23 .
  • Monaco , A and Rosenberger , F . 1993 . Growth and etching kinetics of tetragonal lysozyme . J. Cryst. Growth , 129 : 465 – 484 .
  • Noh , DS , Koh , Y and Kang , IS . 1998 . Numerical solutions for shape evolution of a particle growing in axisymmetric flows of supersaturated solution . J. Cryst. Growth , 183 : 427 – 440 .
  • Osher , S and Sethian , JA . 1988 . Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations . J. Comput. Phys. , 79 : 12 – 49 .
  • Osher S Fedkiw R 2002 The Level Set Method and Dynamic Implicit Surfaces Springer-Verlag New York
  • Pusey ML Snyder RS Naumann R 1986 Protein crystal growth: growth kinetics for tetragonal lysozyme crystals J. Biol. Chem. 261 14 6524 6529
  • Reddy, A.V., Kothe, D.B., Beckermann, C., Ferrell, R.C. and Lam, K.L. (1997) “High resolution finite volume parallel simulations of mould filling and binary alloy solidification on unstructured 3-D meshes”, in Proceedings of the Fourth Decennial International Conference on Solidification Processing
  • Rider , WJ and Kothe , DB . 1998 . Reconstructing volume tracking . J. Comput. Phys. , 141 : 112 – 152 .
  • Rosenberger , F . 1986 . Inorganic and protein crystal growth: similarities and differences . J. Cryst. Growth , 76 : 618 – 636 .
  • Sethian J 1999 Level Set Methods and Fast Marching Methods Cambridge University Press Cambridge
  • Sussman , M , Smereka , P and Osher , S . 1994 . A level set approach for computing solutions to incompressible two-phase flow . J. Comput. Phys. , 114 : 146 – 159 .
  • Udaykumar, H.S., Mittal, R. and Shyy, W. (1999) “Computation of solid–liquid phase fronts in the sharp interface limit on fixed grids”, 153
  • Vekilov PG Chernov AA 2002 Ehrenreich H Spaepen F The Physics of Protein Crystallization Solid State Physics, Academic Press Amsterdam 57 1 147
  • Vekilov PG Iwan J Alexander D Rosenberger F 1996 Non-linear response of layer growth dynamics in the mixed kinetics-bulk transport regime Phys. Rev. E 54 6 6650 6660
  • Voller VR Prakash C 1987 A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems Int. J. Heat Mass Transfer 30 8 1709 1719

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.