A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates

A. Brillard; J.-F. Brilhac; P. Gilot

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A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates

机译：二阶有限差分方法，用于解决与球面坐标系中的修正泊松方程相关的边值问题

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摘要

We propose a second-order finite difference method which may be used for a self-contained and efficient numerical resolution of a boundary value problem involving a modified Poisson equation written in spherical coordinates and a Robin type boundary condition. We compare on two realistic examples issued from the combustion of a coal char particle the efficiency of this second-order finite difference method with that of the classical finite difference method and of the finite element method.

机译：我们提出了一种二阶有限差分方法，该方法可用于边界值问题的自包含且有效的数值解决方案，该问题涉及在球形坐标和Robin型边界条件下编写的改进的Poisson方程。我们在燃烧煤焦颗粒的两个实际例子中比较了这种二阶有限差分方法与经典有限差分方法和有限元方法的效率。

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来源
《Applied Mathematical Modelling》 |2017年第9期|182-198|共17页
作者
A. Brillard; J.-F. Brilhac; P. Gilot;
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作者单位

Laboratoire Gestion des Risques et Environnement EA2334, Institut J.B. Bonnet, Universiti de Mulhouse, 3 bis rue Alfred Werner, 68093 Mulhouse Cedex, France;

Laboratoire Gestion des Risques et Environnement EA2334, Institut J.B. Bonnet, Universiti de Mulhouse, 3 bis rue Alfred Werner, 68093 Mulhouse Cedex, France;

Laboratoire Gestion des Risques et Environnement EA2334, Institut J.B. Bonnet, Universiti de Mulhouse, 3 bis rue Alfred Werner, 68093 Mulhouse Cedex, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Second-order finite difference scheme; Coal char combustion model; Modified Poisson's equation; Spherical coordinates;

机译：二阶有限差分方案;煤焦燃烧模型修正的泊松方程;球坐标;

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2. Generalization of the Exact Solution of 1D Poisson Equation with Robin Boundary Conditions, Using the Finite Difference Method [J] . Serigne Bira Gueye, Kharouna Talla, Cheikh Mbow Journal of Electromagnetic Analysis and Applications . 2014,第12期

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3. Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method [J] . Serigne Bira Gueye, Kharouna Talla, Cheikh Mbow Journal of Electromagnetic Analysis and Applications . 2014,第10期

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7. A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system [O] . Zhang Wensheng, Tong Li, Chung Eric T. 2014

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A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates

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