Campus Units
Chemical and Biological Engineering, Ames Laboratory
Document Type
Article
Research Focus Area
Computational Fluid Dynamics
Publication Version
Submitted Manuscript
Publication Date
2020
Journal or Book Title
arXiv
Abstract
QBMMlib is an open source Mathematica package of quadrature-based moment methods and their algorithms. Such methods are commonly used to solve fully-coupled disperse flow and combustion problems, though formulating and closing the corresponding governing equations can be complex. QBMMlib aims to make analyzing these techniques simple and more accessible. Its routines use symbolic manipulation to formulate the moment transport equations for a population balance equation and a prescribed dynamical system. However, the resulting moment transport equations are unclosed. QBMMlib trades the moments for a set of quadrature points and weights via an inversion algorithm, of which several are available. Quadratures then closes the moment transport equations. Embedded code snippets show how to use QBMMlib, with the algorithm initialization and solution spanning just 13 total lines of code. Examples are shown and analyzed for linear harmonic oscillator and bubble dynamics problems.
Copyright Owner
The Author(s)
Copyright Date
2020
Language
en
File Format
application/pdf
Recommended Citation
Bryngelsona, Spencer H.; Colonius, Tim; and Fox, Rodney O., "QBMMlib: A library of quadrature-based moment methods" (2020). Chemical and Biological Engineering Publications. 443.
https://lib.dr.iastate.edu/cbe_pubs/443
Comments
This is a pre-print of the article Bryngelson, Spencer H., Tim Colonius, and Rodney O. Fox. "QBMMlib: A library of quadrature-based moment methods." arXiv preprint arXiv:2008.05063 (2020). Posted with permission.