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

2020/08/03 by Denis Anuprienko, Anuprienko, Denis, Ivan Kapyrin +1
Earth and Planetary Sciences · Engineering · Environmental Science · #FOS: Mathematics #G.1.5 #G.1.8 #Groundwater flow and contamination studies #Numerical Analysis (math.NA) #Seismic Imaging and Inversion Techniques #Soil and Unsaturated Flow

paper · pdf · doi:10.48550/arxiv.2008.00730

openalex publication_date 2020/08/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

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

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