On the Approximate Solution and Modeling of the Kernel of Nonlinear Breakage Population Balance Equation

DOI10.1137/19M1301266zbMath1461.65003MaRDI QIDQ5856677

Jitendra Kumar, Ashok Das, Stefan Heinrich, Maksym Dosta

Publication date: 29 March 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo simulationfinite volume schemecollision frequencypopulation balance equationnonlinear breakagecollisional breakage kernel

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)

Related Items (3)

Population balance modeling of volume and time dependent spray fluidized bed aggregation kernel using Monte Carlo simulation results ⋮ Moments preserving finite volume approximations for the non-linear collisional fragmentation model ⋮ Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation

Cites Work

• Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique
• Global classical solutions to the continuous coagulation equation with collisional breakage
• Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations
• MOMENT PRESERVING FINITE VOLUME SCHEMES FOR SOLVING POPULATION BALANCE EQUATIONS INCORPORATING AGGREGATION, BREAKAGE, GROWTH AND SOURCE TERMS
• The nonlinear fragmentation equation
• On the similarity solution of the fragmentation equation
• A study of the nonlinear breakage equation: analytical and asymptotic solutions
• An existence‐uniqueness result for the pure binary collisional breakage equation
• Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation
• The Monte Carlo Method
• The discrete coagulation equations with collisional breakage.

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