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QBMMlib: A library of quadrature-based moment methods

Bryngelson, Spencer H. and Colonius, Tim and Fox, Rodney O. (2020) QBMMlib: A library of quadrature-based moment methods. . (Unpublished)

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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.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Bryngelson, Spencer H.0000-0003-1750-7265
Colonius, Tim0000-0003-0326-3909
Fox, Rodney O.0000-0003-1944-1861
Additional Information:The authors appreciate the insights of Professor Alberto Passalacqua when developing this library. The US Office of Naval Research supported this work under grant numbers N0014-17-1-2676 and N0014-18-1-2625. We wish to confirm that there are no known conflicts of interest associated with this publication and there has been no significant financial support for this work that could have influenced its outcome.
Funding AgencyGrant Number
Office of Naval Research (ONR)N0014-17-1-2676
Office of Naval Research (ONR)N0014-18-1-2625
Subject Keywords:population balance equation, quadrature based moment methods, method of moments
Record Number:CaltechAUTHORS:20200918-102621101
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105448
Deposited By: Tony Diaz
Deposited On:18 Sep 2020 17:32
Last Modified:18 Sep 2020 17:32

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