Abstract
Crystallization models that take into account direction-dependent growth rates give rise to multi-dimensional population balances that require a high computational cost. We propose a model reduction technique based on the quadrature method of moments (QMOM) that simplifies a two-dimensional population balance to a one-dimensional advection system. Our method returns the crystal volume distribution and other volume dependent moments of the crystal size distribution, in contrast to many other QMOM based reduction methods that lose all the volume dependent information. The method is applied to the direction-dependent growth of barium sulphate crystals, showing a close agreement with the solution of the full two-dimensional population balance.
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