Numerical solution for the hyperbolic heat conduction problems in the radial - spherical coordinate system using a hybrid Green's function method

Tzer-Ming Chen; Ching-Chih Chen

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Numerical solution for the hyperbolic heat conduction problems in the radial - spherical coordinate system using a hybrid Green's function method

机译：混合格林函数法求解径向-球面坐标系中双曲型导热问题。

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摘要

The hyperbolic heat conduction problems in the radial - spherical coordinate system are investigated by the hybrid Green's function method. The present method combines the Laplace transform for the time domain, Green's function for the space domain and ε-algorithm acceleration method for fast convergence of the series solution. Three different examples problems have been analyzed by the present method. It is found that the present method does not exhibit numerical oscillations at the wave front and the numerical solutions are stable.

机译：利用混合格林函数方法研究了径向-球面坐标系中的双曲导热问题。该方法结合了时域的拉普拉斯变换，空间域的格林函数和ε-算法加速方法，以快速收敛级数解。通过本方法已经分析了三个不同的示例问题。发现本方法在波前没有数值振荡，数值解是稳定的。

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《International Journal of Thermal Sciences》 |2010年第7期|共4页
作者
Tzer-Ming Chen; Ching-Chih Chen;
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正文语种 eng
中图分类热力工程、热机;
关键词
Hyperbolic heat conduction; Green's function; Radial-spherical coordinate system;

机译：双曲热传导;格林函数;Radi球坐标系;

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专利

1. Numerical solution for the hyperbolic heat conduction problems in the radial - spherical coordinate system using a hybrid Green's function method [J] . Tzer-Ming Chen, Ching-Chih Chen International Journal of Thermal Sciences . 2010,第7期

机译：混合格林函数法求解径向-球面坐标系中双曲型导热问题。
2. A hybrid Green's function method for the hyperbolic heat conduction problems [J] . Tzer-Ming Chen International Journal of Heat and Mass Transfer . 2009,第19a20期

机译：双曲热传导问题的混合格林函数方法
3. Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation [J] . Ting-Hui Ning, Xiao-Yun Jiang 力学学报：英文版 . 2011,第006期

机译：球面坐标系中时间分数热传导方程的变量分离法解析解
4. Numerical Method for Three-Dimensional Heat Conduction in Cylindrical and Spherical Coordinates [C] . Xinxin Jia, Zongrui Hao, Hu Wang, International Conference on Computer Engineering, Information Science Application Technology . 2016

机译：圆柱形和球形坐标三维导热的数值方法
5. Accurate and stable numerical methods for solving micro heat transfer models in an N-carrier system in spherical coordinates. [D] . Zhao, Di. 2010

机译：精确稳定的数值方法，用于求解球面坐标系中N载体系统中的微热传递模型。
6. Exact Analytical Solution for 3D Time-Dependent Heat Conduction in a Multilayer Sphere with Heat Sources Using Eigenfunction Expansion Method [O] . Nemat Dalir 2014

机译：本征函数展开法求解带热源的多层球体中3D时变导热的精确解析解
7. Numerical Method for Three-Dimensional Heat Conduction in Cylindrical and Spherical Coordinates [O] . Xinxin Jia, Zongrui Hao, Hu Wang, 2016

机译：圆柱形和球形坐标三维导热的数值方法

Numerical solution for the hyperbolic heat conduction problems in the radial - spherical coordinate system using a hybrid Green's function method

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