Efficient Numerical Simulation of Batch Crystallization Processes Governed by Partial Differential Equations
This paper deals with the simulation problem of crystallization processes. The dynamics of crystallization processes are governed by hyperbolic partial differential equations. We propose to simulate the processes in the one-dimensional size case using the method of characteristics. We observe that the method of characteristics has no numerical diffusion compared with the finite difference method. Moreover the method of characteristics can be extended to simulate the processes in the two-dimensional size case. In the paper we develop an algorithm based on the method of characteristics and carry out different simulations to test the practical reliability of the method. It turns out that the algorithm is notably efficient: fast and accurate. Therefore it takes less time and make less numerical error in order to be used for control of the processes.
infinite dimensional system method of characteristics population balance equation batch crystallization multidimensional cases
Kun Zhang Madiha Nadri Cheng-zhong Xu
Laboratoire d’Automatique et de G(E)nie des Proc(e)d(e)s, Universit(e) Claude Bernard Lyon 1 43 Boulevard du 11 novembre 1918, F-69100, Villeurbanne, France
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
878-883
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）