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

İngilizce (OpenAlex)

This paper documents a novel numerical model for calculating the behavior of unsteady, one-dimensional groundwater flow by using the finite volume method. The governing equation is solved numerically in both of the explicit and fully implicit conditions. Meanwhile, the upwind scheme is employed to discretize the governing equation. In order to model the problem domain, the uniform node distribution is employed. To evaluate the proposed model, one analytical solution and two laboratory experiments, which are provided in the literature, are used. The Boussinesq equation, which is the governing equation in this domain, is linearized and solved for the aforementioned case studies. The computed outcomes of both the explicit and implicit approaches are agreed well with the results of analytical solution and laboratory experiments. The main reason that in the first half of simulation process explicit scheme obtains slightly better results and in the second half of the simulation process fully implicit scheme predicts more reliable outcomes is hidden in the neighbor node points. As a final point, the numerical outcomes confirm that the developed model is capable of calculating satisfactory outcomes in engineering and science applications.