Efficient numerical method for solving multidimensional population balance equations in batch cooling crystallization

Chuan Li

doi:10.1016/j.partic.2026.01.024

Efficient numerical method for solving multidimensional population balance equations in batch cooling crystallization

2026-01-30

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DOI：10.1016/j.partic.2026.01.024

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• Proposed a numerical method for solving multidimensional PBEs with fourth-order accuracy in both space and time. • Computational cost is significantly reduced while maintaining precision and stability. • Four cases involving growth and nucleation verify the method’s performance. • It overcomes sharp CSD gradients and transient dynamics issues common in other methods.

Efficient numerical method for solving multidimensional population balance equations in batch cooling crystallization

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