基于顺序函数法求解跃阶边界条件导热反问题

Solving inverse heat conduction problem with step-abrupt boundary conditions based on sequential function specification method

基于顺序函数法,采用空间约束先验条件,建立了柱坐标下跃阶边界条件非稳态导热反问题的顺序函数法求解模型,解决了顺序函数法对于跃阶边界条件反问题的不适用性.结果表明:相对于时间约束先验条件,空间约束先验条件的顺序函数法能很好地适应跃阶边界条件的导热反问题.在存在测量误差时,该方法可以有效地利用测量信息和先验条件,避免边界条件突变点引起的计算误差,减小测量误差对计算精度的影响.

Based on the sequential function specification method with the space-constrained prior conditions,a model was established to solve the inverse problem of unsteady heat conduction with step-abrupt boundary conditions in cylindrical coordinates.By using this model,the inappropriateness of the sequential function specification method for the inverse problem of periodic step-abrupt boundary conditions was solved.The results show that compared with the time constrained prior conditions,the sequential function method of spatial constraint prior condition can adapt to the inverse heat conduction problem of step-abrupt boundary conditions very well.In the presence of measurement errors,this method may effectively utilize measurement information and prior knowledge,avoid calculation errors caused by boundary condition breakpoints,and reduce the influence of measurement errors on calculation accuracy.