A volume-consistent discrete formulation of aggregation population balance equations

DOI10.1002/mma.3638zbMath1338.35453OpenAlexW2158858978MaRDI QIDQ2814086

Andreas Bück, Jitendra Kumar, Mehakpreet Singh, Evangelos Tsotsas

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3638

zbMATH Keywords

aggregationparticlesfinite volume schemenon-uniform gridspopulation balance equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (14)

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation ⋮ Low-rank method for fast solution of generalized Smoluchowski equations ⋮ Analytical approach for solving population balances: a homotopy perturbation method ⋮ On the approximate solutions of fragmentation equations ⋮ Convergence and error estimation of weighted finite volume scheme for coagulation‐fragmentation equation ⋮ Rate of convergence of two moments consistent finite volume scheme for non-classical divergence coagulation equation ⋮ Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation ⋮ Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation ⋮ Finite volume approximation of multidimensional aggregation population balance equation on triangular grid ⋮ Two moments consistent discrete formulation for binary breakage population balance equation and its convergence ⋮ New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis ⋮ 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

• Development of a mass conserving discretization technique for breakage problems and its convergence analysis
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Stochastic particle approximations for Smoluchowski's coagulation equation
• Adomian decomposition method for solving fragmentation and aggregation population balance equations
• MOMENT PRESERVING FINITE VOLUME SCHEMES FOR SOLVING POPULATION BALANCE EQUATIONS INCORPORATING AGGREGATION, BREAKAGE, GROWTH AND SOURCE TERMS
• An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence
• A Note on Moment Preservation of Finite Volume Schemes for Solving Growth and Aggregation Population Balance Equations
• Numerical Simulation of the Smoluchowski Coagulation Equation
• A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence

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