Statische und dynamische Simulation verfahrenstechnischer Prozesse

Anwendungsorientiertes Forschungsthema des WIAS

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Die dynamische Prozess-Simulation ist ein wichtiges Werkzeug bei der Entwicklung, Analyse und Steuerung von Anlagen der Industrie. Hierbei sind große Systeme von Algebro-Differentialgleichungen (DAEs) zu lösen. Das am WIAS entwickelte Simulationskonzept nutzt nach dem Prinzip ”Teile und Herrsche” die modulare Struktur der Prozessmodelle aus und löst das DAE-System durch Block-strukturierte Verfahren. Das Konzept wurde im Simulator BOP implementiert und hat sich bei verschiedenen industriellen Anwendungen bewährt.

Ausführlichere Darstellungen der WIAS-Forschungsthemen finden sich auf der jeweils zugehörigen englischen Seite.

Publikationen

Artikel in Referierten Journalen

E.K.Y. Yapp, R.I.A. Patterson, J. Akroyd, S. Mosbach, E.M. Adkins, J.H. Miller, M. Kraft, Numerical simulation and parametric sensitivity study of optical band gap in a laminar co-flow ethylene diffusion flame, Combustion and Flame, 167 (2016), pp. 320--334.
J. Pellerin, G. Caumon, Ch. Julio, P. Mejia-Herrera, A. Botella, Elements for measuring the complexity of 3D structural models: Connectivity and geometry, Computer & Geosciences, 76 (2015), pp. 130--140.
P. Collon-Drouaillet, W.S.-L. Steckiewicz-Laurent, J. Pellerin, G. Laurent, G. Caumon, G. Reichart, L. Vaute, 3D geomodelling combining implicit surfaces and Voronoi-based remeshing: A case study in the Lorraine coal basin, Computer & Geosciences, 77 (2015), pp. 29--43.
M. Liero, Passing from bulk to bulk/surface evolution in the Allen--Cahn equation, NoDEA. Nonlinear Differential Equations and Applications, 20 (2013), pp. 919--942.
Abstract
In this paper we formulate a boundary layer approximation for an Allen-Cahn-type equation involving a small parameter $eps$. Here, $eps$ is related to the thickness of the boundary layer and we are interested in the limit when $eps$ tends to 0 in order to derive nontrivial boundary conditions. The evolution of the system is written as an energy balance formulation of the L^2-gradient flow with the corresponding Allen-Cahn energy functional. By transforming the boundary layer to a fixed domain we show the convergence of the solutions to a solution of a limit system. This is done by using concepts related to Gamma- and Mosco convergence. By considering different scalings in the boundary layer we obtain different boundary conditions.

Beiträge zu Sammelwerken

M. Arias Chao, D.S. Lilley, P. Mathé, V. Schlosshauer, Calibration and uncertainty quantification of gas turbines performance models, in: ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, Volume 7A: Structures and Dynamics, ASME and Alstom Technologie AG, 2015, pp. V07AT29A001--V07AT29A012.
J. Borchardt, D. Horn, The process simulator BOP, in: Chemical Engineering Transactions, S. Pierucci, ed., 6, AIDIC, Milano, 2005, pp. 251--256.

Vorträge, Poster

N. Alia, V. John, Optimal control of ladle stirring, 1st Leibniz MMS Mini Workshop on CFD & GFD, WIAS Berlin, September 8 - 9, 2016.
R.I.A. Patterson, Monte Carlo simulation of soot, King Abdullah University of Science and Technology (KAUST), Clean Combustion Research Center, Thuwal, Saudi Arabia, January 11, 2016.
R.I.A. Patterson, Population balance simulation, University of Cambridge, Department for Chemical Engineering and Biotechnology, UK, May 5, 2016.
R.I.A. Patterson, Simulations of flame generated particles, Advances in Uncertainty Quantification Methods, Algorithms and Applications (UQAW 2016), January 5 - 10, 2016, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia, January 5, 2016.
H. Mai, Likelihood Inference for SDEs with jumps, Statistics for Stochastic Differential Equations, October 16 - 22, 2011, Forschungszentrum Oberwolfach (MFO), October 18, 2011.
K. Gärtner, Charge explosion simulations, 7th Meeting of the Detector Advisory Committee for the European XFEL, European XDAC, Hamburg, May 26, 2010.
K. Gärtner, Plasma effects --- Status of simulations (10'), 8th Meeting of the Detector Advisory Committee for the European XFEL, European XDAC, Hamburg, November 15, 2010.
J. Borchardt, The block oriented process simulator BOP, The Seventh Italian Conference on Chemical and Process Engineering (ICheaP-7), May 15 - 18, 2005, Giardini di Naxos, Italy, May 18, 2005.
J. Borchardt, F. Grund, D. Horn, Block-Orientierter Prozesssimulator BOP, ACHEMA 2003, Frankfurt am Main, May 19 - 24, 2003.
J. Borchardt, Solution of linear systems with sparse matrices and its application within the process simulator BOP, 5th International Congress on Industrial and Applied Mathematics (ICIAM 2003), July 7 - 11, 2003, Sydney, Australia, July 8, 2003.
J. Borchardt, Prozess-Simulation auf Parallelrechnern mit dem Simulator BOP, 23. Norddeutsches Kolloquium über Angewandte Analysis und Numerische Mathematik, May 31 - June 1, 2002, Universität Bremen, June 1, 2002.