摘要
本文应用辛卜生数值积分的方法求解热传导方程中的偏微分项,推导出计算土壤热交换中的两个重要物理量——土壤导温率和土壤热通量,从理论上分析了它与目前热平衡台站规范法(拉氏法)的异同。指出拉氏方法中对土壤容积热容量的不同假设,必定给计算结果带来较大的误差,而本文提出的这一方法就不存在这一问题;它的另一优点是在计算通过20厘米处的热通量时考虑了二阶微分项的作用,即温度的非线性作用且该方法有较大的适用范围。
The paper studies partial differential coefficient temr in heat transmit equation by the way of Sipson numerical integral which equces the two physical parameter, heat flux of soil and coefficient of soil temperature for numerical calculating the heat exchange in soil. The essay discuss the similarities and difference between the method and canonical method ( Mothod) in theory, the idea point out difference on the assumption that soil heat capacity in the way of canonical method would cause larger error to the numerical calculate result. However, the method will ot do problem as canonical method. The other strongpoint is that it consider the effect of quadratic partial differential coefficient temr when we numerical calculate heat flux in soil passing 20cm layer, that in the function of nonlinear temperature and it is seasoned with larger zone.
出处
《数学的实践与认识》
CSCD
1999年第3期74-79,共6页
Mathematics in Practice and Theory
关键词
土壤
热交换
数值计算
热通量
导温率
近地气层
heat exchange in soil, numerical calculate, heat flux in soil, coefficient of soil temperature