Comparison of Finite Difference Schemes for Fluid Flow in Unsaturated Porous Medium (Soil)

Water movement in an unsaturated porous medium (soil) can be expressed by Richards equation with the mass conservation law and Darcy-Buckingham's law. This three different forms as pressure head-based, moisture content based mixed from. In this study, we solve one dimensional Equation form numerically using finite difference method various time-stepping schemes: Forward Euler, Backward Crank-Nicolson a Stabilized Runge-Kutta-Legendre Super Time-Stepping compare their performances Dirichlet boundary condition on isotropic homogeneous vertical soil column.