摘要
以三维无限域内单位强度点热源作用的温度场为基本解，用二维虚拟热源法求解三维热传导问题的稳态温度场。由于间接边界元方法的数值离散特性，应用二次非协调单元简便可行地解决了数值计算中的角域问题和边界点法向取值不确定问题。对于含ｒ－１的奇异积分取其柯西主值积分，含ｒ－２的奇异积分由间接方法求得。算例表明此方法有很高的精度。为碾压混凝土拱坝仿真计算提供了有力工具。
Study on the 3-D steady temperature field by fictitious thermal source method is given. According to the numerical discrete character of indirect boundary element method, quadratic inharmonical element may be used for efficiently solving the problem of corner region and indetermination of normal direction of boundary point in numerical process. Numerical results for examples show high precision of present method which offers a useful method for the actual simulation calculation of 3-D temperature field in engineering, especially in roller compacted concrete arch dam.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1996年第1期8-12,共5页
Journal of Tsinghua University(Science and Technology)
关键词
虚拟热源
间接边界元法
温度场
角域
热传导
fictitious thermal source
indirect boundary element method
quadratic inharmonical element
temperature field
corner region
