Volume: 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
, Уear of publication: 2022
Multi-volume edition: 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
Publisher: Springer International Publishing
Pages: 72-82
Abstract
We consider the three-dimensional steady-state incompressible fluid flow problem in a heterogeneous porous medium using the framework of the Newtonian rheology. The Stokes-Darcy equations are applied as a mathematical model of the mentioned physical process with the Biver-Joseph-Suffman interface conjugation conditions. For spatial approximation of the mathematical model, computational schemes of non-conforming finite element methods based on the discontinuous Galerkin technique are chosen. This approach allows one to use inconsistent macroscale mesh partitions and to satisfy the "inf-sup"-conditions when the Stokes-Darcy problem is solved. We proposed to apply the domain decomposition method based on the modified Schwartz procedure, which allows realizing a parallel computational algorithm. The effectiveness of the developed algorithms is shown by solving the fluid flow problem in the channels and pores of a geological rock. A three-dimensional geometric model of the geological rock is built using the results of computer tomography of cores.
