NUMERICAL SOLUTIONS FOR MULTIDIMENSIONAL FRAGMENTATION PROBLEMS USING FINITE VOLUME METHODS

被引：19

作者：

Saha, Jitraj ^{[1
]}

Das, Nilima ^{[2
]}

Kumar, Jitendra ^{[2
]}

Bueck, Andreas ^{[3
]}

机构：

[1] Natl Inst Technol Tiruchirappalli, Dept Math, Tiruchirappalli 620015, Tamil Nadu, India

[2] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

[3] Friedrich Alexander Univ Erlangen Nurnberg, Inst Particle Technol LFG, D-91058 Erlangen, Germany

来源：

关键词：

Population balance equations; fragmentation; finite volume scheme; moment conservation; convergence; POPULATION BALANCE-EQUATIONS; MONTE-CARLO-SIMULATION; 2-COMPONENT AGGREGATION; BIVARIATE EXTENSION; QUADRATURE METHOD; BREAKAGE; MOMENTS; DISCRETIZATION; SCHEME; SPACE;

D O I：

10.3934/krm.2019004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a finite volume scheme for approximating a general multidimensional fragmentation problem. The scheme estimates several physically significant moment functions with good accuracy, and is robust with respect to use of different nonuniform daughter distribution functions. Moreover, it possess simple mathematical formulation for defining in higher dimensions. The efficiency of the scheme is validated over several test problems.

引用

页码：79 / 103

页数：25

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