The predictor-corrector-type (P-C) numerical solution to the 1D Richards equation only requires one matrix inversion operation per time step, making it attractive in terms of computational cost. However, mass conservation could be violated at saturated-unsaturated interface. A new post-allocation procedure is designed for P-C method, which redistributes moisture after corrector step achieve str...

Abstract Nowadays, infiltration tactics are widely used to manage storm water in urban areas. These techniques and recognized around the world due their benefits, such as reducing negative consequences of urbanization, flow sewage systems recharging groundwater. Richards equation is one most well-known equations for simulating soil unsaturated area. In present study, a one-dimensional approach ...

We analyze a discretization method for a class of degenerate parabolic problems that includes the Richards’ equation. This analysis applies to the pressure-based formulation and considers both variably and fully saturated regimes. To overcome the difficulties posed by the lack in regularity, we first apply the Kirchhoff transformation and then integrate the resulting equation in time. We state ...

Abstract The linear infiltration equations obtained by discretizing Richards’ equation need to be solved iteratively, including two approaches of and nonlinear iterations. first method is use numerical methods directly numerically discretize obtain ordinary differential then iterative iteratively solve, such as Newton’s (Radu et al. in On the convergence Newton for mixed finite element discreti...