Ключевое слово: «supg»

This paper examines fluid flow and transport modeling in porous media, focusing on the influence of Robin boundary conditions. A mixed finite element method is employed to approximate the Stokes equation governing fluid motion. Additionally, the transport equation for substance concentration is analyzed, with solutions obtained using the Streamline Upwind/Petrov-Galerkin (SUPG) method for different diffusion coefficients. The sequential solution approach integrates fluid dynamics and transport phenomena to enhance accuracy. Numerical results are presented for a three-dimensional model, highlighting the interplay between flow, transport, and boundary conditions. This study provides insights into the behavior of fluids in porous structures, aiding ap-plications in fields like hydrology, petroleum engineering, and environmental science.