Modeling Groundwater Flow in Unconfined Conditions: Numerical Model and Solvers’ Efficiency

被引：7

作者：

Anuprienko D.V. ^{[1
]}

Kapyrin I.V. ^{[1
,2
]}

机构：

[1] Nuclear Safety Institute of the Russian Academy of Sciences, ul. Bol’shaya Tul’skaya 52, Moscow

[2] Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, ul. Gubkina 8, Moscow

来源：

Lobachevskii Journal of Mathematics | 2018年 / 39卷 / 7期

关键词：

Groundwater flow; nonlinear solvers; unconfined conditions;

D O I：

10.1134/S1995080218070053

中图分类号：

学科分类号：

摘要：

A mathematical model for variably saturated flow in unconfined conditions is presented. The model is based on pseudo-unsaturated approach using Richards equation with piecewise linear dependencies between hydraulic head, water content and relative permeability. It is implemented in GeRa (Geomigration of Radionuclides) software package, which is designed for modeling groundwater flow and contaminant transport in porous media and uses finite volume methods on unstructured grids. We consider two nonlinear solvers for nonlinear equations arising from discretization of the Richards equation, namely Newton and Picard methods. A special method for correction of hydraulic head values within the iterations of nonlinear solvers is proposed. The developed numerical techniques are applied to two test cases: dam seepage and real-world groundwater flow problems. © 2018, Pleiades Publishing, Ltd.

引用

页码：867 / 873

页数：6

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