New developments of the extended quadrature method of moments to solve population balance equations

DOI10.1016/j.jcp.2018.03.027zbMath1396.65079OpenAlexW2793119187MaRDI QIDQ1783438

Maxime Pigou, Pascal Fede, Marie-Isabelle Penet, Geoffrey Laronze, Jérôme Morchain

Publication date: 20 September 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.03.027

zbMATH Keywords

Gauss quadraturemathematical modelingpopulation balanceextended quadrature method of momentsquadrature based method of moments

Mathematics Subject Classification ID

Complexity and performance of numerical algorithms (65Y20) Numerical integration (65D30)

Related Items (12)

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation ⋮ A Gauss/anti-Gauss quadrature method of moments applied to population balance equations with turbulence-induced nonlinear phase-space diffusion ⋮ Performance and accuracy of the basic closure algorithm of quadrature-based moment methods ⋮ A second-order realizable scheme for moment advection on unstructured grids ⋮ Zero-flux approximations for multivariate quadrature-based moment methods ⋮ Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation ⋮ Two moments consistent discrete formulation for binary breakage population balance equation and its convergence ⋮ Stability Analysis of Quadrature-Based Moment Methods for Kinetic Equations ⋮ Finite volume approach for fragmentation equation and its mathematical analysis ⋮ A novel finite-volume TVD scheme to overcome non-realizability problem in quadrature-based moment methods ⋮ Quadrature-based moment methods for kinetic plasma simulations ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Uses Software

• Matlab
• OpenFOAM
• OPQ

Cites Work

• Modified moments and Gaussian quadratures
• Hausdorff moment problem and maximum entropy: A unified approach
• Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes
• A Robust Moment Method for Evaluation of the Disappearance Rate of Evaporating Sprays
• Error Bounds in Equilibrium Statistical Mechanics
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