内含圆柱域热源的非饱和土介质水热耦合作用的SPH 数值模拟

陈佩佩; 白冰

doi:10.11779/CJGE201506008

内含圆柱域热源的非饱和土介质水热耦合作用的SPH 数值模拟 English Version

陈佩佩,
白冰

北京交通大学土木建筑工程学院, 北京 100044

基金项目: 国家自然科学基金项目（51279002, 51478034）；高等学校博士学科点专项科研基金博导类课题（20130009110021）；中央高校基本科研业务费专项资金项目（2012YJS083）

详细信息

作者简介:
陈佩佩(1987– ), 男, 博士研究生, 主要从事岩土工程等方面的科研工作。E-mail: wschpp007@163.com

通讯作者:
白冰

中图分类号: TU43
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出版历程
- 收稿日期: 2014-08-10
- 发布日期: 2015-06-18

Numerical simulation of moisture-heat coupling in porous media with circular heat source by SPH method

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

摘要

摘要: 光滑粒子流体动力学(SPH)作为一种拉格朗日型无网格粒子方法, 已经成功地应用于多种类型耦合问题的求解。基于SPH方法探索求解二维求解域内含有圆形局部热源的水热耦合问题, 其中揭示了程序前处理阶段已有粒子布置方案存在的不足。针对所要求解的具体问题, 使用一种新的粒子布置方案以弥补数值计算过程中的精度损失, 该粒子布置方案中径向粒子间距严格相等, 环向间距大致等于径向粒子间距。通过对水热耦合方程数学特性的分析, 表明了SPH算法可以用于此类耦合问题的数值模拟。最后, 基于SPH算法自行编制的程序对一种非饱和土介质内含有局部热源的水热耦合问题进行数值模拟, 对非饱和土介质中热能传输以及水分迁移的规律进行了分析。
- SPH算法 /
- 粒子布置方案 /
- 水热耦合 /
- 热能传输 /
- 水分迁移
Abstract: The smoothed particle hydrodynamics (SPH), as a Lagrange meshless particle method, has been successfully adopted to solve various types of coupling problems. Based on the SPH method, a moisture-heat coupling problem in two-dimensional domain with a circular localized heat source is solved, the shortcomings of the existing particle arrangement scheme are revealed at the preprocessing stage in program. According to the specific problem, a new particle arrangement scheme is proposed to compensate for the loss of accuracy in numerical calculation process, where the radial particle spacing exactly equals and the circumferential spacing is roughly equal to the radial one. The analysis of mathematical properties of the moisture-heat coupling equation shows that the SPH algorithm can be used for the numerical simulation of this type of coupled problem. Finally, the program based on the SPH algorithm is worked out to solve the moisture-heat coupling problem of an unsaturated soil with localized heat source, and the heat transfer and moisture migration regularity in the unsaturated soil medium are analyzed.
- SPH algorithm /
- particle arrangement scheme /
- moisture-heat coupling /
- heat transfer /
- moisture migration

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参考文献(15)

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