计算力学学报2016，Vol.33Issue(6)：826-833,8.DOI:10.7511/jslx201606004
水坝瞬态热传导分析中的拟初始条件边界元法
Application of quasi-initial condition boundary element method in transient heat conduction problem on gravity dams
摘要
Abstract
T his paper applies a quasi‐initial condition boundary element method (BEM ) to solve the transient heat conduction problems on gravity dam .In this application ,a quasi‐initial condition method is utilized to calculate the integral over time .In the time‐stepping scheme ,the effects of the results compu‐ted forward on the current step are treated as the initial condition of the current step computation .In the quasi‐initial condition method ,however ,numerical stability problem appears when the utilized time step is very small .The computational error increases gradually with the time stepping .To solve this numerically unstable problem ,a virtual time point method is presented in this paper .In this method ,the computational time step is amplified to some virtual time step which is usually with larger scale .The physical variables at the virtual time point are evaluated at first .In the evaluation of the physical variables at virtual time point ,the boundary condition at that time is assumed and computed through a linear extra‐interpolation scheme .The variables at the computational time point are then evaluated through an interpolation scheme .Validity of this method in the case that the physical variables vary linearly with time is proved .Two numerical examples are presented finally to show the accuracy and the stability of the present method .关键词
时域边界元法/数值稳定性/瞬态热传导问题/拟初始条件法/虚拟时刻法Key words
time domain boundary element method/numerical stability/transient heat conduction/quasi-initial condition method/virtual time point method分类
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周枫林,李光,孙晓,张见明..水坝瞬态热传导分析中的拟初始条件边界元法[J].计算力学学报,2016,33(6):826-833,8.基金项目
国家自然科学基金（11472102；11602082）资助项目． （）
