Numerical solutions for multidimensional fragmentation problems using finite volume methods

DOI10.3934/krm.2019004zbMath1407.45007OpenAlexW2885859055MaRDI QIDQ1728004

Nilima Das, Jitendra Kumar, Jitraj Saha, Andreas Bück

Publication date: 21 February 2019

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

Full work available at URL: https://doi.org/10.3934/krm.2019004

zbMATH Keywords

convergencefragmentationfinite volume schemepopulation balance equationsmoment conservation

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 (6)

Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis ⋮ Moments preserving finite volume approximations for the non-linear collisional fragmentation model ⋮ Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation ⋮ Population balance equation for collisional breakage: a new numerical solution scheme and its convergence ⋮ A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Cites Work

• An improved and efficient finite volume scheme for bivariate aggregation population balance equation
• A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence

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