A moving boundary problem derived from heat and water transfer processes in frozen and thawed soils and its numerical simulation
文献类型：期刊论文
| 作者 | Xie ZhengHui1; Song LiYe1,2; Feng XiaoBing3 |
| 刊名 | Science in china series a-mathematics
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 51期号:8页码:1510-1521 |
| 关键词 | Frost and thaw depth Moving boundary Stefan problem Heat and water transfer Numerical solution |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-008-0096-x |
| 通讯作者 | Xie zhenghui(zxie@lasg.iap.ac.cn) |
| 英文摘要 | The seasonal change in depths of the frozen and thawed soils within their active layer is reduced to a moving boundary problem, which describes the dynamics of the total ice content using an independent mass balance equation and treats the soil frost/thaw depths as moving (sharp) interfaces governed by some stefan-type moving boundary conditions, and hence simultaneously describes the liquid water and solid ice states as well as the positions of the frost/thaw depths in soil. an adaptive mesh method for the moving boundary problem is adopted to solve the relevant equations and to determine frost/thaw depths, water content and temperature distribution. a series of sensitivity experiments by the numerical model under the periodic sinusoidal upper boundary condition for temperature are conducted to validate the model, and to investigate the effects of the model soil thickness, ground surface temperature, annual amplitude of ground surface temperature and thermal conductivity on frost/thaw depths and soil temperature. the simulated frost/thaw depths by the model with a periodical change of the upper boundary condition have the same period as that of the upper boundary condition, which shows that it can simulate the frost/thaw depths reasonably for a periodical forcing. |
| WOS关键词 | BINARY-ALLOYS ; PERMAFROST ; EQUATIONS ; RUNOFF ; MODELS ; VOLUME |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258074400013 |
| 出版者 | SCIENCE PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2388685 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Xie ZhengHui |
| 作者单位 | 1.Chinese Acad Sci, Inst Atmospher Phys, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China 3.Univ Tennessee, Dept Math, Knoxville, TN 37996 USA |
| 推荐引用方式 GB/T 7714 | Xie ZhengHui,Song LiYe,Feng XiaoBing. A moving boundary problem derived from heat and water transfer processes in frozen and thawed soils and its numerical simulation[J]. Science in china series a-mathematics,2008,51(8):1510-1521. |
| APA | Xie ZhengHui,Song LiYe,&Feng XiaoBing.(2008).A moving boundary problem derived from heat and water transfer processes in frozen and thawed soils and its numerical simulation.Science in china series a-mathematics,51(8),1510-1521. |
| MLA | Xie ZhengHui,et al."A moving boundary problem derived from heat and water transfer processes in frozen and thawed soils and its numerical simulation".Science in china series a-mathematics 51.8(2008):1510-1521. |
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来源：中国科学院大学
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