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arXiv · 2008.00730

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

Denis Anuprienko·Ivan Kapyrin
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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.

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Denis Anuprienko, Ivan Kapyrin. 2020-08-03. Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions. https://arxiv.org/abs/2008.00730

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