Nonlinear multigrid methods for solving Richards’ equation in two space dimensions
Gh. Juncu ♦ A. Nicola ♦ T. Udrescu
Abstract
carpathian_2009_25_1_082_091_abstractFull PDF
carpathian_2009_25_1_082_091We propose in this paper a nonlinear multigrid algorithm of Full Approximation Storage (MG-FAS) for efficient numerical solution of two dimensional Richards' equation modelling water infiltration into an isotropic, homogeneous, unsaturated porous medium. Comparisons with the nonlinear Alternating Line Gauss-Seidel iterations (ALGS) ilustrate the much better behaviour of our solver.