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

doi:10.1007/s10483-016-2106-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (11): 1467-1478.doi: https://doi.org/10.1007/s10483-016-2106-8

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

Junqiang GAO^1,2, Zhenghui XIE¹, Aiwen WANG³, Zhendong LUO²

1. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
2. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;
3. School of Applied Science, Beijing Information and Science Technology University, Beijing 100192, China

收稿日期:2016-01-26 修回日期:2016-06-20 出版日期:2016-11-01 发布日期:2016-11-01
通讯作者: Zhenghui XIE E-mail:zxie@lasg.iap.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.41575096 and 91125016) and the Strategic Priority Research Program of the Chinese Academy of Sciences (No.XDA05110102)

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

Junqiang GAO^1,2, Zhenghui XIE¹, Aiwen WANG³, Zhendong LUO²

1. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
2. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;
3. School of Applied Science, Beijing Information and Science Technology University, Beijing 100192, China

Received:2016-01-26 Revised:2016-06-20 Online:2016-11-01 Published:2016-11-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.41575096 and 91125016) and the Strategic Priority Research Program of the Chinese Academy of Sciences (No.XDA05110102)

摘要/Abstract

摘要：

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.

关键词: sensitivity test, frost and thaw front (FTF), freeze and thaw algorithm, thermal diffusion equation

Abstract:

Key words: frost and thaw front (FTF), thermal diffusion equation, sensitivity test, freeze and thaw algorithm

中图分类号:

65M06

Junqiang GAO, Zhenghui XIE, Aiwen WANG, Zhendong LUO. Numerical simulation based on two-directional freeze and thaw algorithm for thermal diffusion model[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(11): 1467-1478.

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

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

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