摘要
带相变瞬态传热问题是寒区工程多场耦合问题求解的关键.在剖析常规有限元法在求解带相变瞬态温度场问题的不足的基础上,结合冻土冻融温度变化的特点,提出采用扩展有限元法求解冻土工程带相变瞬态传热问题的新方法,以四边形单元为例推导了冻土工程温度场的求解格式,详细剖析了瞬态传热过程中移动界面水平集函数的构造、单元刚度矩阵的形成及高斯积分的求解.据此编写了相应的扩展有限元程序,通过经典Stefan问题全面验证了程序的正确性与合理性.
Transient heat transfer with phase change is the key to the solving of the multi-field coupling problems in cold regions. The freezing process of frozen soil can be divided into four stages based on the measured freezing curves in Changchun. Analyzing the shortage of the traditional finite element method in solving the phase change problem and the characteristic of frozen soil＇ s freezing process,the extended finite element method（ XFEM） was proposed for solving the transient heat transfer problem with phase change for permafrost engineering. The XFEMinterpolating function and solving format of temperature field with phase change was derived that taking quadrilateral element as an example. Based on the study of the constructing and solving of the level set function,building of the stiffness matrix and subdividing of the elements,a XFEMprogram for the transient heat transfer problem with phase change was proposed in this paper which has been verified by classical Stefan problem.
出处
《冰川冻土》
CSCD
北大核心
2016年第4期1044-1051,共8页
Journal of Glaciology and Geocryology
基金
国家自然科学基金项目(11572246
5117913)
西安理工大学博士学位论文创新基金项目(207-002J1306)资助
关键词
水热力耦合
相变
瞬态温度场
扩展有限元
THMcoupling
ice-water phase change
transient temperature field
extended finite element method
