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Nonlinearity continuation method for steady-state groundwater flow modeling in variably saturated conditions. (English) Zbl 1462.76130
Summary: 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.
MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
86A05 Hydrology, hydrography, oceanography
Software:
PETSc; GeRa; INMOST
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References:
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