About Cats2D

 

Publications

Published works featuring results computed by Cats2D.

Refereed Articles and Chapters

  1. A. Yeckel, A.G. Salinger, and J.J. Derby (1995) “Theoretical analysis and design considerations for float-zone refinement of electronic grade silicon sheets,” J. Crystal Growth, 152, 51–64.
  2. R.T. Goodwin and W.R. Schowalter (1995) “Planar Viscous Jets in the Presence of an Arbitrarily Oriented Body Force,” Phys. Fluids, 7, 954–963.
  3. R.T. Goodwin and W.R. Schowalter (1996) “Interactions of a Pair of Submerged Jets in a Channel: Solution Multiplicity and Linear Stability,” J. Fluid Mech., 313, 55–82.
  4. A. Yeckel, J.W. Smith and J.J. Derby (1997) “Parallel finite element calculation of flow in a three-dimensional lid-driven cavity, using the CM-5 and T3D,” Int. J. Numer. Methods Fluids, 24, 1449–1461.
  5. A. Yeckel, Y. Zhou, M. Dennis, and J.J. Derby (1998) “Three-dimensional computations of solution hydrodynamics during the growth of potassium dihydrogen phosphate II. Spin down.,” J. Crystal Growth, 191, 206–224.
  6. A. Yeckel (1998) “Tools for parameter studies in fluid dynamics,” Int. J. Numer. Meths. Fluids, 28, 1199–1216.
  7. M. Fermigier, C. L’heveder, P. Jenffer, and J. Promislow (1998) “A shear device for the microscopic observations of suspensions and emulsions,” J. Rheology, 42, 255–265.
  8. A. Yeckel and J.J. Derby (1999) “On setting a pressure datum when computing incompressible flows,” Int. J. Numer. Meths. Fluids, 29, 19–34.
  9. A. Yeckel, F.P. Doty, and J.J. Derby (1999) “Effect of steady crucible rotation on segregation in high-pressure vertical Bridgman growth of cadmium zinc telluride,” J. Crystal Growth, 203, 87–102.
  10. A. Yeckel and J.J. Derby (2000) “Effect of accelerated crucible rotation on melt composition in high-pressure vertical Bridgman growth of cadmium zinc telluride,” J. Crystal Growth, 209, 734–750.
  11. B. Vartak, Y.-I. Kwon, A. Yeckel, and J.J. Derby (2000) “An analysis of flow and mass transfer during the solution growth of potassium titanyl phosphate,” J. Crystal Growth, 210, 704–718.
  12. A. Yeckel and J.J. Derby (2001) “Buoyant and rotational flows in small-scale vertical Bridgman growth of cadmium zinc telluride using accelerated crucible rotation,” J. Crystal Growth, 233, 599–608.
  13. J.J. Derby, P. Daoutidis, Y.-I. Kwon, A. Pandy, P. Sonda, B. Vartak, A. Yeckel, M. Hainke, and G. Müller (2002) “High-performance-computing, multi-scale models for crystal growth systems,” in: High Performance Scientific and Engineering Computing, M. Breuer, F. Durst, C. Zenger (Eds.), Lecture Notes in Computational Science and Engineering, Springer Verlag, Berlin, pp. 185–200.
  14. A. Yeckel (2003) “Comments on Robust iterative methods for solution of transport problems with flow: a block two-level preconditioned Schwarz-domain decomposition method for solution of nonlinear viscous flow problems,” Chem. Eng. Sci., 58, 3295–3297.
  15. A. Yeckel and J.J. Derby (2003) “Computational simulations of the growth of crystals from liquids,” in: Crystal Growth Technology, Eds. H.J. Scheel and T. Fukuda, John Wiley & Sons, West Sussex, UK, pp. 115–137.
  16. P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby (2003) “Improved radial segregation via the destabilizing vertical Bridgman configuration,” J. Crystal Growth, 260, 263–276.
  17. A. Yeckel and J.J. Derby (2004) “Dynamics of three-dimensional convection in microgravity crystal growth: g-jitter with steady magnetic fields,” J. Crystal Growth, 263, 40–52. (Erratum to this article published in J. Crystal Growth, 267, 751–753.)
  18. A. Yeckel, G. Compère, A. Pandy, and J.J. Derby (2004) “Three-dimensional imperfections in a model vertical Bridgman growth system for cadmium zinc telluride,” J. Crystal Growth, 263, 629–644.
  19. P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby (2004) “Development of model-based control for Bridgman crystal growth,” J. Crystal Growth, 266, 182–189.
  20. S.V. Bykova, V.D. Golyshev, M.A. Gonik, V.B. Tsvetovsky, V.I. Deshko, A. Ya. Karvatskii, S. Brandon, O. Weinstein, A. Virozub, J.J. Derby, A. Yeckel, and P. Sonda (2004) “Experimental and numerical analysis of coupled interfacial kinetics and heat transport during the Axial Heat flux close to the Phase interface (AHP) growth of BGO single crystals,” J. Crystal Growth, 266, 246–256.
  21. A. Yeckel and J.J. Derby (2004) “Feasibility study of cadmium zinc telluride growth using a submerged heater in a vertical Bridgman system,” J. Electronic Materials, 33, 1–12.
  22. J.J. Derby and A. Yeckel (2004) “Modeling of crystal growth processes,” in: Crystal Growth—From Fundamentals to Technology, Eds. G. Müller, J.-J. Métois, and P. Rudolph, Elsevier, Amsterdam, pp. 143–167.
  23. C.J. Gadgil, A. Yeckel, J.J. Derby, and W.-S. Hu (2004) “A diffusion-reaction model for DNA microarray assays”, J. Biotechnology, 114, 31–45.
  24. P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby (2005) “Hopf bifurcation and solution multiplicity in a model for destabilized Bridgman crystal growth,” Chem. Eng. Sci., 60, 1323–1336.
  25. A. Yeckel and J.J. Derby (2005) “Computer modelling of bulk crystal growth,” in: Bulk Crystal Growth of Electronic, Optical and Optoelectronic Materials, Ed. P. Capper, John Wiley & Sons, West Sussex, UK, pp. 73–119.
  26. A. Pandy, A. Yeckel, M. Reed, C. Szeles, M. Hainke, G. Müller, and J.J. Derby (2005) “Analysis of the growth of cadmium zinc telluride in an electrodynamic gradient freeze furnace via a self-consistent, multi-scale numerical model,” J. Crystal Growth, 276, 133–147.
  27. P. Sonda, A. Yeckel, J.J. Derby, and P. Daoutidis (2005) “The feedback control of the vertical Bridgman crystal growth process by crucible rotation: Two case studies,” Computers and Chemical Engineering, 29, 887–896.
  28. B. Vartak, A. Yeckel, and J.J. Derby (2005) “On the validity of boundary layer analysis for flow and mass transfer caused by rotation during the solution growth of large, single crystals,” J. Crystal Growth, 283, 479–489.
  29. L. Lun, A. Yeckel, M. Reed, C. Szeles, P. Daoutidis, and J.J. Derby (2006) “On the effects of furnace gradients on interface shape during the growth of cadmium zinc telluride in EDG furnaces,” J. Crystal Growth, 290, 35–43.
  30. L. Lun, A. Yeckel, P. Daoutidis, and J.J. Derby (2006) “Decreasing lateral segregation in cadmium zinc telluride via ampoule tilting during vertical Bridgman method,” J. Crystal Growth, 291, 348–357.
  31. A. Yeckel, A. Pandy, and J.J. Derby (2006) “Fixed-point convergence of modular, steady-state heat transfer models coupling multiple scales and phenomena for melt crystal growth,” Int. J. Numer. Methods Eng., 67, 1768–1789.
  32. J.J. Derby, Y.-I. Kwon, A. Pandy, P. Sonda, A. Yeckel, T. Jung, and G. Müller (2006) “Developing quantitative, multi-scale models for microgravity crystal growth,” in: Proceedings of Interdisciplinary Transport Phenomena in Microgravity and Space Sciences IV, Ed. S.S. Sadhal (Ann. N.Y. Acad. Sci., 22, 124–145).
  33. J.J. Derby, L. Lun, and A. Yeckel (2007) “Strategies for the coupling of global and local crystal growth models,” J. Crystal Growth, 303, 114–123.
  34. C. Stelian, A. Yeckel, and J.J. Derby (2009) “Influence of thermal phenomena on crystal reattachment during dewetted Bridgman growth,” J. Crystal Growth, 311, 2572–2579.
  35. A. Yeckel, L. Lun, and J.J. Derby (2009) “An approximate block Newton method for coupled iterations of nonlinear solvers: Theory and conjugate heat transfer applications,” J. Comput. Phys., 228, 8566–8588.
  36. A. Yeckel, L. Lun, and J.J. Derby (2010) “Multi-scale crystal growth computations via an approximate block Newton method,” J. Crystal Growth, 312, 1463–1467.
  37. L. Lun, A. Yeckel, and J.J. Derby (2010) “A Schur complement formulation for solving free-boundary, Stefan problems of phase change,” J. Comput. Phys., 229, 7942–7955.
  38. A. Yeckel and J.J. Derby (2011) “Existence, stability, and nonlinear dynamics of detached Bridgman growth states under zero gravity,” J. Crystal Growth, 314, 310–323.
  39. N. Zhang, A. Yeckel, A. Burger, Y. Cui, K.G. Lynn, J.J. Derby (2011) “Anomalous segregation during electrodynamic gradient freeze growth of cadmium zinc telluride,” J. Crystal Growth, 325, 10–19.
  40. G. Samanta, A. Yeckel, P. Daggolu, H. Fang, E.D. Bourret-Courchesne, and J.J. Derby (2011) “Analysis of limits for sapphire growth in a micro-pulling-down system,” J. Crystal Growth, 335, 148–159.
  41. P. Daggolu, A. Yeckel, C.E. Bleil, and J.J. Derby (2012) “Thermal-capillary analysis of the horizontal ribbon growth of silicon crystals,” J. Crystal Growth, 355, 129–139.
  42. N. Zhang, A. Yeckel, J.J. Derby (2012) “Maintaining convex interface shapes during electrodynamic gradient freeze growth of cadmium zinc telluride using a dynamic, bell-curve furnace profile,” J. Crystal Growth, 355, 113–121.
  43. G. Samanta, A. Yeckel, E.D. Bourret-Courchesne, and J.J. Derby (2012) “Parametric sensitivity and temporal dynamics of sapphire crystal via the micro-pulling-down method,” J. Crystal Growth, 359, 99–106.
  44. P. Daggolu, A. Yeckel, C.E. Bleil, and J.J. Derby (2013) “Stability limits for the horizontal ribbon growth of silicon crystals,” J. Crystal Growth, 363, 132–140.
  45. A. Yeckel and J.J. Derby (2013) “The prospects for traveling magnetic fields to affect interface shape in the vertical gradient freeze growth of cadmium zinc telluride,” J. Crystal Growth, 364, 133–144.
  46. J.J. Derby, N. Zhang, and A. Yeckel (2013) “Modeling insights on the melt growth of cadmium zinc telluride,” J. Crystal Growth, 379, 28–33.
  47. P. Daggolu, A. Yeckel, and J.J. Derby (2014) “An analysis of segregation during horizontal ribbon growth of silicon,” J. Crystal Growth, 390, 80–87.
  48. J.J. Derby and A. Yeckel (2015) “Heat transfer analysis and design for bulk crystal growth: Perspectives on the Bridgman method,” in: Handbook of Crystal Growth, 2nd Edition, Vol. 2, Ed. P. Rudolph, Elsevier, Amsterdam, pp. 793–843.
  49. Y. Tao, A. Yeckel, and J.J. Derby (2016) “Steady-state and dynamic models for particle engulfment during solidification,“ J. Comput. Phys., 315, 238–263.
  50. J.H. Peterson, A. Yeckel, and J.J. Derby (2016) A fundamental limitation on growth rates in the traveling heater method,“ J. Crystal Growth, 452, 1216.
  51. Z. Li, J.H. Peterson, A. Yeckel, and J.J. Derby (2016) Analysis of the effects of a rotating magnetic field on the growth of cadmium zinc telluride by the traveling heater method under microgravity conditions, J. Crystal Growth, 452, 1721.
  52. Y. Tao, A. Yeckel, and J.J. Derby (2016) Analysis of particle engulfment during the growth of crystalline silicon, J. Crystal Growth, 452, 15.
  53. A. Yeckel (2016) “Modeling high speed growth of large rods of cesium iodide crystals by edge-defined film-fed growth (EFG),” J. Crystal Growth, 449, 75–85.

Articles with disputed author lists

  1. J.H. Peterson, A. Yeckel, and J.J. Derby (2016) “Analysis of the traveling heater method for the growth of cadmium telluride,“ J. Crystal Growth, 454, 45–58.
  2. J.J. Derby, Y. Tao, A. Yeckel, C. Reimann, J. Friedrich, T. Jauss, T. Sorgenfrei, and A. Cröll (2017) “A quantitative model with new scaling for silicon carbide particle engulfment during silicon crystal growth,“ J. Crystal Growth, 463, 100–109.
  3. Y. Tao, A. Yeckel, and J.J. Derby (2017) “Particle engulfment dynamics under oscillating crystal growth conditions,“ J. Crystal Growth, 468, 24–27.
  4. M.S. Divecha, A. Yeckel, and J.J. Derby (2017) “Analysis of the accelerated crucible rotation technique applied to the gradient freeze growth of cadmium zinc telluride,“ J. Crystal Growth, 468, 630–634.
  5. J. Friedrich, C. Reimann, T. Jauss, A. Cröll, T. Sorgenfrei, Y. Tao, A. Yeckel, and J.J. Derby (2017) “Engulfment and pushing of Si3N4 and SiC particles during directional solidification of silicon under microgravity conditions,“ J. Crystal Growth, 475, 33–38.
  6. M.S. Divecha, A. Yeckel, and J.J. Derby (2017) Mechanistic study of the accelerated crucible rotation technique applied to the vertical Bridgman growth of cadmium zinc telluride, J. Crystal Growth, 103920T, 14 pages.
  7. M.S. Divecha, A. Yeckel, and J.J. Derby (2017) Towards optimization of ACRT schedules applied to the gradient freeze growth of cadmium zinc telluride, J. Crystal Growth, 480, 126131.
  8. J.J. Derby and A. Yeckel (2018) The synergy of modeling and novel experiments for melt crystal growth research, IOP Conf. Ser.: Mater. Sci. Eng., 355, 16.

Proceedings Articles

  1. A. Yeckel, Y.-I. Kwon, and J.J. Derby (1997) “Parallel computation of three-dimensional, time-dependent hydrodynamics during solution crystal growth,” Advances in Computational Engineering Science, Eds.  S. N. Atluri and G. Yagawa, Tech Science Press, Forsyth, Georgia, 794–799.
  2. A. Yeckel, Y.-I. Kwon, and J.J. Derby (1997) “Modeling the growth of bulk single crystals via high performance computing,” in: Proceedings of the 12th Technical Annual Meeting of the Korean Association of Crystal Growth and the 4th Japan–Korea Electronic Materials Growth Symposium, Seoul, Korea.
  3. J.J. Derby and A. Yeckel (2000) “Buoyant and rotational flows during ACRT vertical Bridgman crystal growth,” in: Proceedings of IMECE 2000, 2000 International Mechanical Engineering Congress and Exposition, Orlando, Florida.
  4. A. Yeckel and J.J. Derby (2001) “Suppressing convection in Bridgman crystal growth: Effects of microgravity, magnetic fields, and crucible rotation,” Proceedings of ICES 2K, International Conference on Computational Engineering Science, Los Angeles, California.
  5. J.J. Derby, A. Pandy, P. Sonda, B. Vartak, A. Yeckel, and P. Daoutidis (2001) “Representing realistic complexity in numerical models of crystal growth: Three-dimensional and time-dependent flows, phase boundaries, and furnaces,” in: Proceedings of the International FORTWIHR Conference 2001, Erlangen, Germany.
  6. P. Sonda, A. Yeckel, P. Daoutidis, and J.J. Derby (2001) “Complex dynamics within the vertical Bridgman crystal growth process,” in: Proceedings of the IFAC Symposium: DYCOPS 6, 6th Symposium on the Dynamics and Control of Process Systems, Cheju Island, Korea.
  7. S.V. Bykova, V.D. Golyshev, M.A. Gonik, V.B. Tsvetovsky, V.I. Deshko, A.J. Karvatskiy, S. Brandon, O. Weinstein, A. Virozub, J.J. Derby, A. Yeckel, and P. Sonda (2002) “Investigation of interfacial kinetics and dynamics of heat and mass transfer in AHP crystal growth of BGO on the basis of solution of 3D and 2D problems,” Abstracts of X Russian Conference on Crystal Growth, Russia, Moscow, IK RAN.
  8. P. Sonda, A. Yeckel, J.J. Derby, and P. Daoutidis (2003) “Control of Fluid Flow in the Vertical Bridgman Crystal Growth Process,” Proceedings of the IEEE 11th Mediterranean Conference on Control and Automation: MED ’03, Rhodes, Greece.
  9. P. Sonda, A. Yeckel, J.J. Derby, and P. Daoutidis (2004) “Suppression of flow oscillations in a vertical Bridgman crystal growth system,” Proceedings of the 2004 American Control Conference, June 30–July 2, Boston.
  10. A. Yeckel and J.J. Derby (2004) “Convective heat and mass transport in novel Bridgman configurations,” in: Proceedings of ICTAM 2004, The XXI International Congress of Theoretical and Applied Mechanics, August 15–21, Warsaw, Poland.
  11. J.J. Derby, J.R. Chelikowsky, T. Sinno, B. Dai, Y.-I. Kwon, L. Lun, A. Pandy and A. Yeckel (2007) “Large scale numerical modeling of melt and solution crystal growth,” AIP Conference Proceedings 16(1), 139–158.
  12. J.J. Derby, D. Gasperino, L. Lun and A. Yeckel (2008) “Modeling the growth of CZT by the EDG process,” in Proceedings SPIE, Vol. 7079 (Hard X-Ray, Gamma-Ray, and Neutron Detector Physics X), 70790A.1–11.
  13. A. Yeckel, C. Stelian, and J.J. Derby (2009) “Heat transfer, capillarity, and phase change during detached Bridgman crystal growth,” EUROTHERM Seminar on Thermodynamics of phase changes, May 24–27, Namur, Belgium.
  14. J.J. Derby, D. Gasperino, N. Zhang and A. Yeckel (2009) “Modeling the crystal growth of cadmium zinc telluride: Accomplishments and future challenges,“ in: Nuclear Radiation Detection Materials 2009, Eds. D.L. Perry, A. Burger, L.A. Franks, and M. Schieber, Mater. Res. Soc. Symp. Proc. 1164, Pittsburgh, PA, 1164-L05-02.
  15. J.J. Derby and A. Yeckel (2011) “A robust, practical, and general method for coupled iterations of black-box nonlinear solvers by an approximate block Newton method,” 7th GRACM International Congress on Computational Mechanics, June 30–July 2, Athens, Greece.
  16. N. Zhang, A. Yeckel, and J.J. Derby (2011) “Segregation and interface shape control during the EDG growth of CZT crystals,” in Hard X-Ray, Gamma-Ray, and Neutron Detector Physics XIII, edited by A. Burger, L.A. Franks, R.B. James, Proceedings of SPIE Vol. 8142 (SPIE, San Diego, CA 2011) .
  17. A. Yeckel and J.J. Derby (2011) “Effects of a traveling magnetic field on vertical gradient freeze growth of cadmium zinc telluride,” in Hard X-Ray, Gamma-Ray, and Neutron Detector Physics XIII, edited by A. Burger, L.A. Franks, R.B. James, Proceedings of SPIE Vol. 8142 (SPIE, San Diego, CA 2011).
  18. N. Zhang and A. Yeckel and J.J. Derby (2012) “Improving the growth of CZT crystals for radiation detectors: a modeling perspective,” in Hard X-Ray, Gamma-Ray, and Neutron Detector Physics XIV, edited by A. Burger, L.A. Franks, R.B. James, Proceedings of SPIE Vol. 8507-07 (SPIE, San Diego, CA 2012).
  19. A. Yeckel, R. S. Feigelson, and J.J. Derby (2013) “Analysis of scintillator crystal production via the edge-defined film-fed growth method,” in Hard X-Ray, Gamma-Ray, and Neutron Detector Physics XV, edited by A. Burger, L.A. Franks, R.B. James, Proceedings of SPIE Vol. 8852 (SPIE, San Diego, CA 2013).

Other Publications

  1. A. Yeckel (1995) Numerical solutions to the velocity field through a constriction, appearing in: Modeling Axisymmetric Flows: Dynamics of Films, Jets, and Drops, S. Middleman, Academic Press, San Diego, pp. 21–27.