| 非线性瞬态热传导的精细积分方法 |
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| 引用本文： | 顾元宪,陈飚松,张洪武,关振群.非线性瞬态热传导的精细积分方法[J].大连理工大学学报,2000,40(Z1):S24-S28. |
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| 作者姓名： | 顾元宪 陈飚松 张洪武 关振群 |
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| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室!辽宁大连116024大连理工大学工程力学系，辽宁大连116024，大连理工大学工业装备结构分析国家重点实验室!辽宁大连116024大连理工大学工程力学系，辽宁大连116024，大连理工大学工业装备结构分析国家重点实验室!辽宁大连116024大连理工 |
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| 摘 要： | 采用精细积分法求解非线性瞬态热传导方程 .非线性因素包括热辐射边界条件和物性参数可变 .推导了瞬态非线性热传导方程中精细积分法的具体列式 .指出可利用指数矩阵的对称性和带宽特性提高算法的效率 ,并结合预测校正算法求解非线性方程 .数值算例验证了方法的有效性
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| 关 键 词： | 非线性 瞬态热传导/精细积分 |
| 修稿时间： | : |
Precise time integration method for solution of nonlinear transient heat conduction |
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| GU Yuan xian ,CHEN Biao song ,ZHANG Hong wu ,GUAN Zhen qun.Precise time integration method for solution of nonlinear transient heat conduction[J].Journal of Dalian University of Technology,2000,40(Z1):S24-S28. |
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| Authors: | GU Yuan xian CHEN Biao song ZHANG Hong wu GUAN Zhen qun |
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| Institution: | GU Yuan xian 1,2,CHEN Biao song 1,2,ZHANG Hong wu 1,2,GUAN Zhen qun 1,2 |
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| Abstract: | Precise time integration (PTI) is a very special and new numerical integration scheme for transient system. It is explicit, stable and of high precision for linear transient system. In this paper, PTI is employed to solve the equations of nonlinear heat transfer in conjunction with finite elements method. The nonlinear problem includes the radiation boundary conditions and the temperature dependent parameters of the material. Basic formulations are proposed to solve the nonlinear equations of heat transfer. It is pointed out that the matrix exponential of PTI is symmetry and narrow bandwidth, which can be used to improve the computational efficiency of the algorithm. Predictor corrector technique is adopted for solving the equations. Numerical examples can validate the algorithm. |
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| Keywords: | nonlinear transient heat transfer/precise time integration |
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