非饱和土壤水流问题的降阶外推仿真模型

腾飞; 罗振东

doi:10.3879/j.issn.1000-0887.2014.02.004

非饱和土壤水流问题的降阶外推仿真模型

doi: 10.3879/j.issn.1000-0887.2014.02.004

腾飞¹,
罗振东²

¹凯里学院数学科学学院, 贵州凯里 556011;²华北电力大学数理学院, 北京 102206

基金项目: 国家自然科学基金(11271127)；贵州省教育厅自然科学研究项目(黔教合KY字[2013]207)

详细信息

作者简介:
腾飞(1986—),女,吉林人,硕士,讲师(E-mail: tengfeikl@126.com)

中图分类号: O242.21
计量
- 文章访问数: 1195
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- 被引次数: 0
出版历程
- 收稿日期: 2013-09-02
- 修回日期: 2013-12-25
- 刊出日期: 2014-02-15

A Reduced-Order Extrapolating Simulation Model for Unsaturated Soil Water Flow Problem

TENG Fei¹,
LUO Zhen-dong²

¹School of Mathematical Sciencea, Kaili University, Kaili, Guizhou 556011, P.R.China;²School of Mathematics and Physics, North China Electric Power University, Beijing 102206, P.R.China

Funds: The National Natural Science Foundation of China(11271127)

摘要

摘要: 利用Crank-Nicolson有限体积元方法和特征投影分解方法建立二维非饱和土壤水流问题的一种很少自由度、精度足够高的降阶外推仿真模型,并给出这种降阶外推仿真模型的降阶近似解误差估计和算法实现.最后用数值例子说明数值结果与理论结果相吻合,并阐明这种降阶外推仿真模型的优越性.
- 非饱和土壤水流问题 /
- 降阶外推仿真模型 /
- 二阶时间精度 /
- 误差估计
Abstract: A reduced-order extrapolating simulation model with sufficiently high accuracy and fews degress of freedom for the two-dimensional unsaturated soil water flow problem was established by means of the Crank-Nicolson finite volume element (CNFVE) method and POD technique. The error estimates of the reduced-order approximate solutions and the algorithm implementation for the reduced-order extrapolating simulation model were provided. Finally, a numerical example was taker to illustrate that the results of numerical computation are consistent with those of theoretical solutions. Moreover, the advantage of the reduced-order extrapolating simulation model lies in its simpler computation and higher accuracy.
- unsaturated soil water flow problem /
- reduced-order extrapolating simulation model /
- second order time accuracy /
- error estimate

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参考文献(17)

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