In this article a mathematical model for two-dimensional batch crystallization process with fines dissolution is presented. The fines dissolution is useful for improving the quality of a product and facilitates the downstream process like filtration. The crystals growth rates can be size-dependent and a time-delay in the recycle pipe is incorporated in the model. The high resolution finite volume schemes, originally derived for general systems in divergence form, are used to solve the resulting model. The schemes have already been used for the simulation of complex problems in gas dynamics and were found to be computationally efficient, accurate, and robust. The numerical test problems of this manuscript verify the capability of the proposed schemes for solving batch crystallization models. (c) 2010 Elsevier Ltd. All rights reserved.