计算力学学报2018，Vol.35Issue(1)：44-50,7.DOI:10.7511/jslx20161215001
瞬态热传导问题的精细积分数值流形方法研究
Transient heat conduction analysis by the numerical manifold method and the precise time integration
摘要
Abstract
Owing to the unique dual cover systems,i.e.,the mathematical cover system and the physical cover system,the numerical manifold method (NMM) is predominant method in domain discretization.As for the precise time integration method (PTIM),it is of high accuracy,absolutely stable,immune from oscillation and the solution is independent of the time step size.In this paper,the NMM,combined with the PTIM,is developed to study two-dimensional (2D) transient heat conduction problems.Based on the governing equations and associated boundary conditions,the NMM discrete equations for the considered problems are derived using the modified variational principle.The details of the PTIM and also the spatial integration scheme are presented for the solution of the time-dependent system of equations.To validate the proposed method,two typical numerical examples are carefully examined.The simulated results show that the 2D unsteady heat conduction problems can be efficiently and accurately tackled by the present approach.关键词
瞬态热传导/数值流形方法/精细积分/温度场/二维Key words
transient heat conduction/numerical manifold method/precise time integration/temperature/two-dimensional分类
能源科技引用本文复制引用
张慧华,韩尚宇,胡国栋,谭育新..瞬态热传导问题的精细积分数值流形方法研究[J].计算力学学报,2018,35(1):44-50,7.基金项目
国家自然科学基金(11462014) （11462014）
江西省自然科学基金(20151BAB202003) （20151BAB202003）
江西省教育厅科技项目(GJJ14526,GJJ150752)资助项目. （GJJ14526,GJJ150752）
