相变传热问题的再生核粒子-最小二乘配点法  

REPRODUCING KERNEL PARTICLE-LEAST SQUARES COLLOCATION METHOD FOR PHASE CHANGE PROBLEM

作　　者：穆磊[1] 王振华[1] 贺志宏[1] 董士奎[1] 谈和平[1] 

机构地区：[1]哈尔滨工业大学能源科学与工程学院,哈尔滨150001

出　　处：《太阳能学报》2016年第5期1270-1276,共7页Acta Energiae Solaris Sinica

基　　金：国家自然科学基金(51176039);教育部博士点基金(20102302110015)

摘　　要：采用再生核粒子法建立相变导热温度场的无网格离散公式,依据最小二乘配点原理建立相变能量传输方程的最小二乘配点格式,然后使用该数值方法处理无限大平板的一维相变问题。计算结果表明,采用该方法在处理相变问题时具有很高的计算精度,从而可验证该方法对于相变问题求解的可行性;对于等温相变和非等温相变问题的研究结果表明,该方法既适用于等温相变的求解,又适用于非等温相变的求解,从而验证该方法在处理相变问题时具有较强的适应性。Reproducing kernel particle method was adopted to establish the meshless discrete formula of phase change heat conduction in temperature field, based on the principle of least squares collocation, the least squares collocation format of the phase change energy transfer equation was constructed. Then the one-dimensional phase change problem in a infinite plate was dealt with, the calculation results showed that this method have high calculation accuracy for phase change problems, thus the feasibility of this method for phase change problems was verified; for isothermal and nonisothermal phase change problems, the results showed that the method is not only applicable to isothermal phase change, but also to the non-isothermal phase change problems, so the method has stronger adaptability in dealing with phase change problems.

关 键 词：相变 导热 再生核粒子 最小二乘法 

分 类 号：TK02[动力工程及工程热物理]