Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions
Numerical Analysis
2020-08-04 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2008.00730,
title = {Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions},
author = {Denis Anuprienko and Ivan Kapyrin},
journal= {arXiv preprint arXiv:2008.00730},
year = {2020}
}