Dynamic Simulation of Batch Crystallization Process by Using Moving Finite Difference Method

摘要

The moving finite difference method combined with Weighted Essentially Non-Oscillatory (WENO) scheme is addressed for the dynamic simulation of batch crystallization processes described by hyperbolic-like PBE (Population Balance Equation) with a discontinuous initial condition. The accurate and stable WENO scheme shows an improvement of numerical results over conventional discretization methods (backward or central) on fixed grids as well as on moving grids. Owing to the moving grid method with the WENO scheme which tracks well a steep front or shock, the physical model of PBEs could be numerically represented more exactly. For illustration, numerical results are compared with experimental results for the crystallization process of the potassium sulfate (K_2SO_4/H_2O). The new approach is considered as an efficient numerical solution procedure for the verification of models described by hyperbolic-like PDEs (Partial Differential Equations).