Least-squares spectral method for solving advective population balance problems

Authors:
C. A. Dorao;H. A. Jakobsen
Affiliations:
Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

The combined CFD-PBE (population balance models) are computationally intensive requiring efficient numerical methods for solving practical problems. In this paper, a high order method is presented based on the least-squares method (LSM) for the solution of a spatial-dependent population balance equation which includes advective processes. Numerical experiments are performed in order to study the behavior of the proposed method for one-dimensional cases using model problems with analytical solutions.