Discontinuous Galerkin solution of the convection-diffusion-reaction equations in fluidized beds

被引：2
|
作者：
Varma, V. Dhanya [1 ]
Chamakuri, Nagaiah [2 ,3 ]
Nadupuri, Suresh Kumar [1 ]
机构：
[1] Natl Inst Technol Calicut, Dept Math, Calicut, Kerala, India
[2] MEC, Dept Math, Hyderabad, India
[3] Univ Hohenheim, Inst Appl Math & Stat, D-70599 Stuttgart, Germany
来源：
APPLIED NUMERICAL MATHEMATICS | 2020年 / 153卷
关键词：
Fluidized bed; Convection-diffusion-reaction; Discontinuous Galerkin schemes; EOC; A priori error estimates; FINITE-ELEMENT-METHOD; SPRAY GRANULATION; INTERIOR PENALTY; GAS; IMPLEMENTATION;
D O I：
10.1016/j.apnum.2020.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, the Discontinuous Galerkin (DG) schemes were studied for the solution of convection-diffusion-reaction equations which arise from mathematical modeling of fluidized bed spray granulation process (FBSG). The discontinuous Galerkin method for space discretization is employed to treat the dominated convection behavior in the governing equations. The implicit Euler method for the temporal discretization is used. The mathematical analysis of the governing equations with a priori bounds for all the state variables is demonstrated. The investigation of experimental order of convergence is presented for test functions of degrees one and two. Finally, parallel efficiency of strong scaling is presented for the employed DG schemes. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：188 / 201
页数：14
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