| Full text | |
| Author(s): |
Devloo, Philippe R. B.
;
Fernandes, Jeferson W. D.
;
Gomes, Sonia M.
;
Orlandini, Francisco T.
;
Shauer, Nathan
Total Authors: 5
|
| Document type: | Journal article |
| Source: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 402, p. 28-pg., 2022-12-01. |
| Abstract | |
Exact finite element de Rham subcomplexes relate conforming subspaces in H1(12), H(curl; 12), H(div; 12), and L2(12) in a simple way by means of differential operators (gradient, curl, and divergence). The characteristics of such strong couplings are crucial for the design of stable and conservative discretizations of mixed formulations for a variety of multiphysics systems. This work explores these aspects for the construction of divergence-free vector shape functions in a robust fashion allowing stable and faster simulations of mixed formulations of incompressible porous media flows. The resulting schemes are verified by means of numerical tests with known smooth solutions and applied to a benchmark problem to confirm the expected theoretical and computational performance results.(c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 17/15736-3 - Engineering Research Centre in Reservoir and Production Management |
| Grantee: | Denis José Schiozer |
| Support Opportunities: | Research Grants - Applied Research Centers Program |
| FAPESP's process: | 21/03791-5 - Multiscale method and flow diagnostics for reservoir management |
| Grantee: | Nathan Shauer |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 21/02187-7 - MHM as preconditioner |
| Grantee: | Jeferson Wilian Dossa Fernandes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |