An accurate and efficient discrete formulation of aggregation population balance equation

DOI10.3934/krm.2016.9.373zbMath1333.45008OpenAlexW2331711105MaRDI QIDQ264442

Evangelos Tsotsas, Gurmeet Kaur, Jitendra Kumar

Publication date: 31 March 2016

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2016.9.373

zbMATH Keywords

aggregationfinite volume methodnonuniform meshespopulation balancespreservation of moments

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (12)

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation ⋮ Population balance modeling of volume and time dependent spray fluidized bed aggregation kernel using Monte Carlo simulation results ⋮ On the approximate solutions of fragmentation equations ⋮ Numerical approximation of a coagulation-fragmentation model for animal group size statistics ⋮ Numerical methods for particle agglomeration and breakage in lid-driven cavity flows at low Reynolds numbers ⋮ Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation ⋮ Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models ⋮ Enhancing efficiency in particle aggregation simulations: coarse-grained particle modeling in the DEM-PBM coupled framework ⋮ Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation ⋮ Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation ⋮ On equilibrium solution to a singular coagulation equation with source and efflux ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Cites Work

• Stochastic particle approximations for Smoluchowski's coagulation equation
• MOMENT PRESERVING FINITE VOLUME SCHEMES FOR SOLVING POPULATION BALANCE EQUATIONS INCORPORATING AGGREGATION, BREAKAGE, GROWTH AND SOURCE TERMS
• Numerical Simulation of the Smoluchowski Coagulation Equation
• A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence

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