Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition

被引:10
|
作者
Krasnyk, Mykhaylo [1 ]
Mangold, Michael [2 ]
Ganesan, Sashikumaar [3 ]
Tobiska, Lutz [4 ]
机构
[1] Donetsk Natl Tech Univ, Donetsk, Ukraine
[2] Max Planck Inst Dynam Complex Tech Syst, Magdeburg, Germany
[3] Weierstrass Inst Applied Anal & Stochast, Berlin, Germany
[4] Otto von Guericke Univ, Inst Anal & Numer Math, Magdeburg, Germany
关键词
Numerical analysis; Population balance; Crystallization; Particulate processes; Model order reduction; Proper orthogonal decomposition; POPULATION BALANCE-EQUATIONS; QUADRATURE METHOD; DYNAMICS; APPROXIMATION; AGGREGATION; NUCLEATION; SIMULATION; MOMENTS; GROWTH;
D O I
10.1016/j.ces.2011.05.053
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Crystallization processes are characterized by close interaction between particle formation and fluid flow. A detailed physical description of these processes leads to complicated high-order models whose numerical solution is challenging and computationally expensive. For advanced process control and other model based real-time applications, reduced order models are required. In this work, a reduced model for a urea crystallizer is derived from a detailed reference model with two external and one internal coordinate. Proper orthogonal decomposition is applied to all three coordinates to obtain a low-order representation of the system. Nonlinear terms are treated efficiently by best points interpolation. Simulations are carried out to show the good agreement between reduced model and reference model. (C) 2011 Elsevier Ltd. All rights reserved.
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页码:77 / 86
页数:10
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