Numerical modeling of groundwater flow based on explicit and fully implicit schemes of finite volume method

This paper documents a novel numerical model for calculating the behavior of unsteady, one-dimensional groundwater flow by using finite volume method. The developed determined water table fluctuations different scenarios as follows: Drainage and recession from an unconfined aquifer, above inclined leaky layer due to ditch recharge with constant variable upper boundary condition. Boussinesq equation, which is governing equation in this domain, linearized solved numerically both explicit fully implicit conditions. Meanwhile, upwind scheme employed discretize equation. computed outcomes approaches agreed well results analytical solution laboratory experiments. main reason that first half simulation process obtains slightly better second predicts more reliable are hidden neighbor node points. As final point, confirm capable satisfactory engineering science applications.