【摘要】 本文针对具有自由袭面稳定渗流问题所建立的变分不等式Ⅴ.Ⅰ.,提出了一种整体逼近的近似解析方法,其结果是近似解析式,便于分析流场中水头、流速、压力等物理量;利用这种方法导出1这一问题在地面有入渗情形的近似解析解,对研究在不同入渗条件下流场各物理量的变化带来极大的方便。本文所提供的算例与现有国外资料比较,方法简单,有较高精度,能清晰地分析各物理量。这也表明,用近似解析方法求解变分不等式的问题,仍是一种不容忽视的途径。更多还原

【Abstract】 In this paper, a free boundary problem related to the statinary flow in a porous medium with infiltration is transformed to a variational inequality, and a special approximate analytic method is employed to solve the variational inequality The approximate analytic solution reveals its advantages in analysing physical characters in the fluid field, such as velocity, pressure and so on. The numerical examples presented in this paper show that this method is much simpler, the computing time required is significantly shortened and satisfactory accuracy canbe reached.更多还原