冻结土壤温度场数值模拟的改进  

Numerical Simulation Improvement of Freezing Soil's Temperature Field

作　　者：商翔宇[1] 周国庆[1] 别小勇[1] 

机构地区：[1]中国矿业大学建筑工程学院,江苏徐州221008

出　　处：《中国矿业大学学报》2005年第2期179-183,共5页Journal of China University of Mining & Technology

基　　金：国家973项目(2002CB412704);中国科学院知识创新工程重大项目(KZCX1-SW-04);中国科学院冻土工程国家重点实验室开放基金项目(SKLFSE200304)

摘　　要：针对土壤冻结过程的数值分析,基于显热容法用有限差分法构造出热传导方程变空间步长的半隐格式和全隐格式.结合实例分析了FEM和FDM方法造成的'相变遗漏',提出一种自调节时间步长、半隐和全隐格式交替使用的方法,使模型求解迭代大为简化,有效避免了'相变遗漏'引起的温度场分析误差.该方法能够较为精确求解冻土温度场,是对传统方法的有效改进,也为土体冻结及冻胀融沉过程的精确分析创造了条件.Based on the numerical calculus of soil freezing and the apparent heat capacity method, completely and partly implicit difference schemes of the heat transfer equation were deduced by the finite difference method with variable space step. Then the phenomenon of 'phase change lost', resulted from the fixed time step, was analyzed through a typical numerical example. And then a method with self-adjusted time step in which completely and partly implicit difference schemes were used alternately was put forward. This method can avoid the 'phase change lost' successfully, and as a result, the iteration procedure can be simplified greatly. At the same time, it can reduce the calculation time efficiently. The method proposed is an important improvement to the traditional numerical simulation, which can help to analyze the process of soil freezing, frost heave and thaw subsidence accurately.

关 键 词：隐格式 相变 热传导方程 迭代 热容 求解 遗漏 土壤温度场 土体 冻结 

分 类 号：TD265[矿业工程—矿井建设] O177[理学—数学]