Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation

DOI10.1098/rspa.2019.0552zbMath1472.82044OpenAlexW2987695221WikidataQ91866710 ScholiaQ91866710MaRDI QIDQ5160816

Gavin Walker, Mehakpreet Singh, Ahmad B. Albadarin, Hamza Y. Ismail, Themis Matsoukas

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6894538

zbMATH Keywords

aggregationgrowthintegral equationscomputational mathematicsnucleationfinite volume schemechemical engineeringnonlinear integro-partial differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) PDEs in connection with statistical mechanics (35Q82) Finite volume methods applied to problems in statistical mechanics (82M12)

Related Items (9)

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation ⋮ Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation ⋮ Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis ⋮ Rate of convergence of two moments consistent finite volume scheme for non-classical divergence coagulation equation ⋮ Laplace transform‐based approximation methods for solving pure aggregation and breakage equations ⋮ Finite volume approximation of multidimensional aggregation population balance equation on triangular grid ⋮ Finite volume approach for fragmentation equation and its mathematical analysis ⋮ Convergence analysis of volume preserving scheme for mass based coalescence equation ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Cites Work

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