Convergence analysis of volume preserving scheme for mass based coalescence equation

被引：4
|
作者：
Singh, Mehakpreet [1 ]
Nayak, R. K. [2 ]
Walker, Gavin [1 ]
机构：
[1] Univ Limerick, Bernal Inst, Dept Chem Sci, Limerick V94 T9PX, Ireland
[2] KIIT Deemed Univ, Dept Math, Bhubaneswar, Orissa, India
来源：
APPLIED NUMERICAL MATHEMATICS | 2022年 / 173卷
关键词：
Coalescence; Integro-partial differential equations; Finite volume scheme; Consistency; Grids; Order of convergence; POPULATION BALANCE-EQUATIONS; COAGULATION-FRAGMENTATION EQUATIONS; SECTIONAL METHODS; SIMULATION; GELATION;
D O I：
10.1016/j.apnum.2021.12.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study presents the convergence analysis of a mass based volume preserving scheme [Singh et al. (2019) [42]] for approximating a coalescence equation by establishing Lipschitz continuity of the numerical fluxes. The scheme accomplished the volume conservation law by modifying the coalescence kernel based on the principle of overlapping cells. A detailed investigation of the consistency of the method to show second-order convergence on the uniform, non-uniform smooth, and locally uniform grids independently of the coalescence kernel further reinforces the convergence study. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：365 / 379
页数：15
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