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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。
Based on the basic principle of smoothed particle hydrodynamics (SPH), this paper attempts to numerically simulate the hydrothermal coupling problems in unsaturated soils. First, the parabolic partial differential equation is solved by a program based on SPH algorithm and compared with the analytical solution. The results show that the SPH algorithm is feasible and effective for numerical simulation of parabolic partial differential equations. This provides a theoretical basis for the further calculation of the migration of unsaturated soil under the action of temperature by the SPH algorithm. Then, the laws of heat transfer and moisture migration in unsaturated soil are numerically calculated. The thermal diffusivities, temperature-induced water diffusion coefficients, water diffusion coefficients under isothermal conditions and volumetric water content Rate and temperature distribution characteristics, and its evolution process and mechanism analysis, which will SPH algorithm extended the scope of application.