Том: High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production. 12th International Conference, HPCST 2022, Barnaul, Russia, May 20-21, 2022, Revised Selected Papers. Communications in Computer and Information Science, Vol. 1733
Том: 1733
, Год издания: 2022
Многотомное издание: High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production. 12th International Conference, HPCST 2022, Barnaul, Russia, May 20-21, 2022, Revised Selected Papers. Communications in Computer and Information Science, Vol. 1733
Издатель: Springer International Publishing
Страницы: 83-96
Аннотация
The possibility of using a mixed non-conformal finite element formulation to solve the fluid filtration problem in a porous geological medium with clay inclusions, as well as in a layered medium under pressure is analyzed. Within the framework of this work, for the construction of a computational scheme based on a mixed method for Darcy flow, the use of a set of hierarchic basis functions on rectangular finite elements for the velocity in the vector-valued function space H(div) is implemented for the first time. A software package in the C++ programming language that accepts as input a grid partition of the computational domain in the "msh" format, obtained using a finite element mesh generator Gmsh, has been developed and verified. For further detailed analysis of the numerical pressure and velocity fields obtained as a result of solving the filtration problem, and also graphical display of the solution the Tecplot program can be used.
