Numerical method for optimizing stirrer configurations

Basara, 1996, A parallel multigrid method for the prediction of turbulent flows with Reynolds stress closure Bates, 1963, An examination of some geometrical parameters of impeller power, Ind. Eng. Chem. Proc. Des. Dev., 2, 310, 10.1021/i260008a011 Baysal, 1992, Aerodynamic design optimization using sensitivity analysis and computational fluid dynamics, AIAA Journal, 30, 718, 10.2514/3.10977 Böhm, 1998, A parallel moving grid multi-grid method for flow simulation in rotor-stator configurations, International Journal for Numerical Methods in Engineering, 42, 175, 10.1002/(SICI)1097-0207(19980515)42:1<175::AID-NME360>3.0.CO;2-4 Conn, A., Scheinberg, K., Toint, P. (1997a). On the convergence of derivative-free methods for unconstrained optimization. In Iserles, A., Buhmann, M. (Eds.), Approximation theory and optimization: tribute to M.J.D. Powell. Cambridge University Press, Cambridge, UK, pp. 83–108. Conn, 1997, Recent progress in unconstrained nonlinear optimization without derivatives, Mathematical Programming, 79, 397, 10.1007/BF02614326 Conn, A., Scheinberg, K., Toint, P. L. (1998). A derivative free optimization algorithm in practice. Tech. Rep. Report 98/11, IBM T.J. Watson Research Center, Newyork Conn, 1996, An algorithm using quadratic interpolation for unconstrained derivative free optimization, 27 Durst, 1992, Numerical study of transport phenomena in MOCVD reactors using a finite volume multigrid solver, Journal of Crystal Growth, 125, 612, 10.1016/0022-0248(92)90303-Z Durst, 1996, A parallel blockstructured multigrid method for the prediction of incompressible flow, International Journal of Numerical Methods in Fluids, 22, 549, 10.1002/(SICI)1097-0363(19960330)22:6<549::AID-FLD366>3.0.CO;2-7 Ertem-Muller, S. (2003). Numerical efficiency of explicit and implicit methods with multigrid for large eddy simulation. Ph.D. thesis, Darmstadt University of Technology Ferziger, 1996 Hämäläinen, J., Makinen, R., Tarvainen, P., Toivanen, J. (2000). Evolutionary shape optimization in CFD with industrial application. In Ohate, E., Bugeda, G., Suarez, B. (Eds.), Proceedings of the European congress on computational methods in applied sciences and engineering, ECCOMAS. CIMNE, Barcelona, CDROM Hortmann, 1990, Finite volume multigrid prediction of laminar natural convection: Benchmark solutions, International Journal of Numerical Methods in Fluids, 11, 189, 10.1002/fld.1650110206 Hortmann, 1994, Numerical prediction of laminar flow in plane, bifurcating channels, Computational Fluid Mechanics, 2, 65 Lehnhäuser, T. (2003). Eine effiziente numerische Methode zur Gestaltsopti-mierung von Stromungsgebieten. Ph.D. thesis, Darmstadt University of Technology Lehnhäuser, 2000, Numerical efficiency of turbulent flow computations with multigrid methods, 625 Lehnhäuser, 2002, Improved linear interpolation practice for finite-volume schemes on complex grids, International Journal of Numerical Methods in Fluids, 38, 625, 10.1002/fld.232 Lehnhäuser, 2003, Efficient discretization of pressure-correction equations on non-orthogonal grids, International Journal of Numerical Methods in Fluids, 42, 211, 10.1002/fld.513 Mohammadi, 2001 Oyama, A. (2000). Multidisciplinary optimization of transonic wing design based on evolutionary algorithms coupled with CFD solvers. In Oñate, E., Bugeda, C., Suárez, B. (Eds.), Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS. CIMNE, Barcelona, CDROM Patankar, 1972, A calculation procedure for heat, mass and momentum transfer in three dimesional parabolic flows, International Journal of Heat Mass Transfer, 15, 1787, 10.1016/0017-9310(72)90054-3 Pope, 2000 Quagliarella, 1998, 417 Quagliarella, 1998, Genetic algorithms applications in computational fluid dynamics, 298 Rao, 1996 Reuther, 1999, Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers. Part 1, Journal of Aircraft, 36, 51, 10.2514/2.2413 Reuther, 1999, Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers. Part 2, Journal of Aircraft, 36, 61, 10.2514/2.2414 Schäfer, 2001, Numerical simulation of coupled fluid-solid problems, Computer Methods in Applied Mechanics and Engineering, 190, 3645, 10.1016/S0045-7825(00)00290-5 Schäfer, 1996, Benchmark computations of laminar flow around a cylinder Sieber, 1999, Stromungssimu-lation in Wendel- und Dispersionsriihrwerken, Chemie Ingenieur Technik, 71, 1159, 10.1002/cite.330711010 Sieber, 1998, Numerical prediction of time-dependent flow in a hyperbolic stirrer, 318 Stone, 1968, Iterative solution of implicit approximations of multi-dimensional partial differential equations, SI AM Journal on Numerical Analysis, 5, 530, 10.1137/0705044 van der Lee, 2001, A new approach to optimizing energy systems, Computer Methods in Applied Mechanics and Engineering, 190, 5297, 10.1016/S0045-7825(01)00162-1 Waechter, A. (2002). An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering. Ph.D. thesis, Department of Chemical Engineering, Carnegie Mellon University