An improved and efficient finite volume scheme for bivariate aggregation population balance equation

DOI10.1016/j.cam.2016.04.037zbMath1382.65271OpenAlexW2404568959MaRDI QIDQ738958

Jitendra Kumar, Evangelos Tsotsas, Mehakpreet Singh, Andreas Bück

Publication date: 16 August 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.04.037

zbMATH Keywords

momentsaggregationparticlesfinite volume schemenon-uniform grids

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation ⋮ Analytical approach for solving population balances: a homotopy perturbation method ⋮ On the approximate solutions of fragmentation equations ⋮ Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis ⋮ Numerical solutions for multidimensional fragmentation problems using finite volume methods ⋮ FFT-based evaluation of multivariate aggregation integrals in population balance equations on uniform tensor grids ⋮ 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 ⋮ Finite volume approach for fragmentation equation and its mathematical analysis ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Cites Work

• A comparative study of different discretizations for solving bivariate aggregation population balance equation
• Finite element methods of an operator splitting applied to population balance equations
• Investigation of the 3D model of coupled heat and liquid moisture transfer in hygroscopic porous fibrous media
• Numerical calculation of the moments of the population balance equation
• Exact solution of Smoluchowski's continuous multi-component equation with an additive kernel
• A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence

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