Green-Ampt入渗模型的一种显式近似解

发布时间：2018-04-30 19:56

本文选题：Green-Ampt入渗模型 + 累积入渗量　；参考：《水电能源科学》2017年06期

【摘要】：为解决Green-Ampt(GA)入渗模型只有隐格式解的问题,给出了高精度的显格式近似解,该显格式构造一组幂函数作为基函数,通过最小化近似解与精确解之间的误差,达到对GA模型的逼近。在对误差函数最小化的过程中,首先证明优化解的存在性,同时采用自适应的优化分段方法,在满足精度的条件下减少基函数的级数,达到简化计算的目的。针对入渗时间趋于无穷导致近似解发散问题,建立了修正公式,确保了该逼近方法的全局收敛性。通过与其他近似解的比较,验证了该方法的稳定性和精确性。
[Abstract]:In order to solve the problem that Green-AmptGaA) infiltration model has only implicit scheme solution, a high-precision approximate solution of explicit scheme is given. The explicit scheme constructs a set of power functions as basis functions. By minimizing the error between the approximate solution and the exact solution, the approximation to GA model is achieved. In the process of minimizing the error function, the existence of the optimal solution is first proved. At the same time, the adaptive optimization piecewise method is used to reduce the series of the basis function under the condition of satisfying the accuracy, so as to simplify the calculation. To solve the problem that the infiltration time tends to infinity, a modified formula is established to ensure the global convergence of the approximation method. The stability and accuracy of the method are verified by comparison with other approximate solutions.
【作者单位】：长江工程职业技术学院水利工程系;
【分类号】：S152.7

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