非饱和土中温度引起水分迁移的光滑粒子法数值模拟

SPH NUMERICAL SIMULATION OF MOISTURE MIGRATION CAUSED BY TEMPERATURE IN UNSATURATED SOILS

  • 摘要: 基于光滑粒子法(Smoothed particle hydrodynamics,SPH)的基本原理,尝试着对给出的非饱和土中水热耦合问题进行数值模拟。首先,采用基于SPH算法自行编制的程序对抛物型偏微分方程进行求解,并与解析解做出对比。计算结果表明,SPH算法用来数值模拟抛物型偏微分方程是可行的及有效的,这就为进一步采用SPH算法计算非饱和土在温度作用下的水分迁移问题提供了理论依据。然后,对非饱和土介质中热能传输以及水分迁移的规律进行了数值计算,其中重点计算了不同热扩散系数、温度诱致的水分扩散系数、等温条件下的水分扩散系数和热源条件下的体积含水率和温度分布的特点,并对其演化过程和机理进行分析,从而将SPH算法的应用范围作了扩展。

     

    Abstract: Based on the basic principle of Smoothed particle hydrodynamics (SPH), this paper tries to calculate numerically the unsaturated soil moisture-heat coupling problem. Firstly, the parabolic partial differential equations were solved by programming based on SPH algorithm, and then a comparison was made with analytic solution. The calculation results show that SPH algorithm used for the numerical simulation of parabolic partial differential equation is feasible and effective; it provides a theoretical basis for the calculation of moisture migration problem under the action of temperature in the unsaturated soil. Then, the numerical calculations of heat transfer and moisture migration were carried out in unsaturated soil. Considering the difference in thermal diffusion coefficient, moisture diffusion coefficient caused by temperate, moisture diffusion coefficient and heat source, the paper investigated the distribution characteristics of moisture and temperature by number simulation, and the process and mechanism of moisture-heat evolution was analyzed, thus the application scope of SPH was extended.

     

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