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冻土区体育场馆类建筑地基非稳态温度场的数值研究

宋证远1,2,李焕荣2,3   

  1. 1. 重庆工商大学体育学院, 重庆 400067; 2. 经济社会 应用统计重庆市重点实验室, 重庆 400067; 3. 重庆工商大 学数学与统计学院,  重庆 400067
  • 出版日期:2018-04-25 发布日期:2021-06-29

宋证远, 李焕荣. 冻土区体育场馆类建筑地基非稳态温度场的数值研究[J]. 系统科学与数学, 2021, 41(4): 1121-1130.

SONG Zhengyuan, LI Huanrong. Numerical Simulation for Unsteady Temperature Field of Stadium Building Foundation in Permafrost Area[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(4): 1121-1130.

Numerical Simulation for Unsteady Temperature Field of Stadium Building Foundation in Permafrost Area

SONG Zhengyuan1,2 ,LI Huanrong2,3   

  1. 1. College of Physical Education, Chongqing Technology and Business University, Chongqing 400067; 2. Chongqing Key Laboratory of Social Economic and Applied Statistics, Chongqing 400067; 3. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067
  • Online:2018-04-25 Published:2021-06-29
季节性冻土区体育场馆类大空间建筑的地基强度直接影响着整个建 筑的稳定性, 而冻土温度是影响地基强度的重要因素. 文章简单描述了冻土区体育场馆类建筑地基非稳态温度场的数学模型, 利用 广义差分方法建立了二维温度场问题的数值离散格式, 分析了其广义差分解 的最优误差估计. 最后举实例数值计算了四川西北地区季节性冻土区一建 筑地基温度场受地表温度影响的变化情况, 模拟结果验证了该数值方法的有效性, 同时 该研究对冻土区建筑地基基坑深度具有一定的指导意义.
The strength of building foundation in seasonally frozen area directly affects the stability of the entire stadium building, and the permafrost temperature is an important factor affecting the permafrost strength. We briefly introduced the mathematical model of the unsteady temperature field of the stadium building foundation in seasonal frozen soil region, established a generalized difference scheme, and analyzed the error estimates of the fully discrete generalized difference solutions. Finally, a numerical example of permafrost temperature in the northwest of Sichuan province was given to calculate the temperature variation of the building foundation under the influence of surface temperature. Numerical results verified the effectiveness of our numerical method, and the research has a certain guiding significance for the foundation pit depth of the building in the frozen soil area.
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