论文标题

在多种饱和条件下稳态地下水流量建模的非线性延续方法

Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions

论文作者

Anuprienko, Denis, Kapyrin, Ivan

论文摘要

提出了非线性持续方法在可变饱和条件下的稳态地下水流量的数值解中的应用。为了解决通过稳态Richards方程的有限体积离散化获得的非线性方程系统,使用Newton方法解决了一系列非线性问题。将这种方法与几种测试用例的伪频率方法进行了比较,包括实际站点问题和涉及并行计算。

Application of nonlinearity continuation method to numerical solution of steady-state groundwater flow in variably saturated conditions is presented. In order to solve the system of nonlinear equations obtained by finite volume discretization of steady-state Richards equation, a series of problems with increasing nonlinearity are solved using the Newton method. This approach is compared to pseudo-transient method on several test cases, including real site problems and involving parallel computations.

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