Numerical simulation based on two-directional freeze and thaw algorithm for thermal diffusion model

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• 作者：Junqiang Gao ; Zhenghui Xie ; Aiwen Wang ; Zhendong Luo
• 关键词：freeze and thaw algorithm ; frost and thaw front (FTF) ; sensitivity test ; thermal diffusion equation
• 刊名：Applied Mathematics and Mechanics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：37
• 期：11
• 页码：1467-1478
• 全文大小：497 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754
• 卷排序：37

文摘

Freeze-thaw processes significantly modulate hydraulic and thermal characteristics of soil. The changes in the frost and thaw fronts (FTFs) affect the water and energy cycles between the land surface and the atmosphere. Thus, the frozen soil comprising permafrost and seasonally frozen soil has important effects on the land surface hydrology in cold regions. In this study, a two-directional freeze and thaw algorithm is incorporated into a thermal diffusion equation for simulating FTFs. A local adaptive variable-grid method is used to discretize the model. Sensitivity tests demonstrate that the method is stable and FTFs can be tracked continuously. The FTFs and soil temperature at the Qinghai-Tibet Plateau D66 site are simulated hourly from September 1, 1997 to September 22, 1998. The results show that the incorporated model performs much better in the soil temperature simulation than the original thermal diffusion equation, showing potential applications of the method in land-surface process modeling.