Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 393, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2021.113502
Keywords
Groundwater flow; Unsaturated conditions; Vadose zone; Richards equation; Newton method; Continuation
Categories
Funding
- Russian Science Foundation [18-71-10111]
- Russian Academy of Sciences Research program [26]
- Russian Science Foundation [18-71-10111] Funding Source: Russian Science Foundation
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This paper presents the application of the nonlinearity continuation method in the numerical solution of steady-state groundwater flow in variably saturated conditions. By solving a series of increasingly nonlinear problems using the Newton method, the system of nonlinear equations obtained from the finite volume discretization of steady-state Richards equation is addressed. A comparison is made with the pseudo-transient method on various test cases, including real site problems and parallel computations.
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. (c) 2021 Elsevier B.V. All rights reserved.
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