Simulation of crystal growth and attrition in a stirred tank

Computing and Visualization in Science

Volumn 9, Issue 3, 2006, Pages 175-183

  Logashenko, D ^a   Fischer, T ^a   Motz, S ^b   Gilles, E D ^b   Wittum, G ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTER SIMULATION; CRYSTAL GROWTH; CRYSTALLIZERS; NUMERICAL METHODS;

ADAPTIVE REFINEMENT; PARALLEL COMPUTATIONS; STIRRED TANK;

TANKS (CONTAINERS);

EID: 33750452733     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-006-0031-z     Document Type: Article

References (28)

1. Barrett, R., Berry, M., Chan, T. F., Demmel, J., Donato, J., Dongarra, J., Eijkhout, V., Pozo, R., Romine, C., van der Vorst, H.: Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM, Philadelphia (1993)
2. Bastian, P., Birken, K., Johannsen, K., Lang, S., Neuss, N., Rentz-Reichert, H., Wieners, C.: Ug-a flexible software tool-box for solving partial differential equations. Comput. Vis. Sci. 1, 27-40 (1997)
3. Bey, J.: Finite-Volumen- und Mehrgitterverfahren für elliptische Randwertprobleme. In: Advances in Numerical Mathematics. Teubner-Verlag, Stuttgart (1998)
4. Brezzi, F., Fortin, M.: Mixed and hybrid finite element methods. In: Springer Series in Computational Mathematics, vol. 15. Springer, Berlin Heidelberg New York (1991)
5. Bürger, R., Wendland, W.L., Concha, F.: Model equations for gravitational sedimentation-consolidation processes. ZAMM, 80(2), 79-92 (2000)
6. Dirksen, J.A., Ring, T.A.: Fundamentals of crystallization: kinetic effects on particle size distribution and morphology. Chem. Eng. Sci. 46, 2389-2427 (1991)
7. Fischer, T., Kirkilionis, M., Logashenko, D., Wittum, G.: Fast numerical integration for simulation of disperse systems. Accepted for publication in Mathematical Models and Methods in Applied Sciences (2005)
8. Frolkovič, P.: Maximum principle and local mass balance for numerical solution of transport equation coupled with variable dencity flow. Acta Math. Univ. Comenianae LXVII(1), 137-157 (1998)
9. Gahn, C., Mehrsmann. A.: Brittle fracture in crystallization processes-part a. and part b. Chem. Eng. Sci. 54, 1273-1292 (1999)
10. Gerstlauer, A., Mitrovic, A., Motz, S., Gilles, E.D.: A population model for crystallization processes using two independent particle properties. Chem. Eng. Sci. 56(7), 2553-2565 (2001)
11. Gerstlauer, A., Motz, S., Mitrovic, A., Gilles, E.D.: Development, analysis and validation of population models for continuous and batch crystallizers. Chem. Eng. Sci. 57, 4311-4327 (2002)
12. Griebel, M., Schneider, M., Zenger, G.: A combination technique for the solution of sparse grid problems. In: de Groen, P., Beauwens, R. (eds.) Iterative Methods in Linear Algebra. IMACS, Elsevier, North Holland (1992)
13. Hackbusch, W.: Iterative Solution of Large Sparse Systems of Equations. Springer, Berlin Heidelberg New York (1994)
14. Hackbusch, W., Novak, Z.P.: On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math. 54, 463-491 (1989)
15. Harten, A., Osher, S.: Uniformly high-order accurate nonoscilatory schemes, i. SIAM J. Numer. Anal. 24(2), 279-309 (1987)
16. Hurle, D.J.T. (ed.): Handbook of Crystal Growth. North-Holland, Amsterdam (1994)
17. Karimian, S.M., Schneider, G.E.: Pressure-based control-volume finite element method for flow at all speeds. AIAA J. 33(9), 1611-1618 (1995)
18. Knabner, P., Angermann, L.: Numerical methods for elliptic and parabolic partial differential equations. In: Texts in Applied Mathematics, vol. 44. Springer, Berlin Heidelberg New York (2003)
19. Landau, L.D., Lifschitz, E.M.: Lehrbuch der theoretischen Physik, vol.VI, hydrodynamik. Akademie-Verlag, Berlin (1991)
20. Marchisio, D.L., Vigil, R.D., Fox, R.O.: Implementation of the quadrature method of moments in cfd codes for aggregation-breakage problems. Chem. Eng. Sci. 58, 3337-3351 (2003)
21. Motz, S., Mitrovic, A., Gilles, E.D.: Comparison of numerical methods for the simulation of dispersed phase systems. Chem. Eng. Sci. 57, 4329-4344 (2002)
22. Myerson, A.S. (ed.): Handbook of Industrial Crystallization. Butterworth-Heinemann, Boston (1992)
23. Nägele, S.: Mehrgitterverfahren für die inkompressiblen Navier-Stokes-Gleichungen im laminaren und turbulenten Regime unter Berücksichtigung verschiedener Stabilisierungsmethoden. PhD Thesis, Universität Heidelberg (2003)
24. Reichert, H., Wittum, G.: Robust multigrid methods for the incompressible Navier-Stokes equations. In: Hackbusch, W., Wittum, G. (eds.) Fast Solvers for Flow Problems, vol. 49 of NNFM, Braunschweig (1995)
25. Renz-Reichert, H.: Robuste Mehrgitterverfahren zur Lösung der inkompressiblen Navier-Stokes Gleichungen: Ein Vergleich. PhD Thesis, Universität Stuttgart (1996)
26. Sauter, S.A.: Über die die effiziente Vewendung des Galerkin-Verfahrens zur Lösung Fredholmscher Integralgleichungen. PhD Thesis, Universität Kiel (1992)
27. Sonar, T.: Mehrdimensionale ENO-Verfahren. B. G. Teubner, Stuttgart (1997)
28. Zenger, C.: Sparse grids. In: Hackbusch, W., (ed.) Parallel Algorithms for Partial Differential Equations, vol. 31 of Notes on Numerical Fluid Dynamics. Proceedings of the 6th GAMM-Seminar (1990)