A Volume Conserving Approximation of Multidimensional Agglomeration Population Balance Equation on Unstructured Grid
In this work, the first ever volume conserving finite volume scheme is developed for approximating a multidimensional agglomeration population balance equations on a unstructured grid. Previous applications of the finite volume scheme were restricted only to structured rectangular and triangular grids. The main hindrance of using the unstructured grid is the less knowledge of the relation between the quality of solution and the nature of elements. The use of unstructured grid offers improved numerical results as compared to the structured grid due to the flexibility of placing the pivot in the space and serves to refine the grid to any desired location. The demonstration of the accuracy and efficiency of the finite volume scheme with unstructured grid is verified by comparing with the finite volume scheme with a structured grid for analytically tractable kernels. The numerical results reveal that the finite volume approximation with a unstructured grid estimate the number density function as well as various order moments with higher quality at lesser computational cost as compared to the finite volume approximation with a structured grid.
|A Volume Conserving Approximation of Multidimensional Agglomeration Population Balance Equation on Unstructured Grid
|CC BY 4.0 (Attribution)
|August 16, 2020
|Publisher Identifier (DOI)
|February 24, 2021
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