Confined Seepage underneath Hydraulic Structures Using Strong form Differential Quadrature Element Method.

Mohamed, Aya Bakr Attya; El-Masry, Adel Abdou; Masria, Ali; Abdel Gawad, Hossam Abdal Aziz

doi:10.21608/bfemu.2020.93302

Confined Seepage underneath Hydraulic Structures Using Strong form Differential Quadrature Element Method.

Document Type : Research Studies

Authors

¹ Teaching Assistant, Irrigation and Hydraulics Engineering Dept., Mansoura University, Mansoura 35516, Egypt

² Prof. of, Irrigation and Hydraulics Engineering Dept., Mansoura University, Mansoura 35516, Egypt

³ Lecturer, Currently, at College of Engineering, Jouf University, Sakaka, Aljouf 2018, Kingdom of Saudi Arabia Lecturer, Irrigation and Hydraulics Engineering Dept., Mansoura University, Mansoura 35516, Egypt

⁴ Associate Prof. of, Irrigation and Hydraulics Engineering Dept., Mansoura University, Mansoura 35516, Egypt

10.21608/bfemu.2020.93302

Abstract

Strong Form Differential Quadrature Element Method (DQEM) is a non-ubiquitous technique for solving various physical and engineering problems having arbitrary domain configurations and complicated boundary conditions. In the present paper, the DQEM is adopted to simulate 2D steady-state confined seepage using quadrilateral elements unprecedentedly. The method discretizes the studied domain to a number of homogenous isotropic or anisotropic zones/elements. Techniques for defining boundary conditions are presented. The numerical modeling process is implemented in a PYTHON computer code. Various problems are solved in the present paper and the obtained results are compared with the available results of theoretical and numerical methods pre-published in the literature. Numerical results demonstrate the rigor and eligibility of the unfamiliar approach (DQEM) with less computational efforts.

Keywords