|Title (Primary)||Are upwind techniques in multi-phase flow models necessary?|
|Author||Park, C.-H.; Böttcher, N.; Wang, W. ; Kolditz, O.|
|Journal||Journal of Computational Physics|
|Keywords||Two-phase flow; Galerkin finite element methods; Upwind schemes|
Two alternatives of primary variables are compared for two-phase flow in heterogeneous media by solving fully established benchmarks. The first combination utilizes pressure of the wetting fluid and saturation of the non-wetting fluid as primary variables, while the second employs capillary pressure of the wetting fluid and pressure of the non-wetting fluid. While the standard Galerkin finite element method (SGFEM) is known to fail in the physical reproduction of two-phase flow in heterogeneous media (unless employing a fully upwind correction), the second scheme with capillary pressure as a primary variable without applying an upwind technique produces correct physical fluid behaviour in heterogeneous media, as observed from experiments.
|Persistent UFZ Identifier||https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=12201|
|Park, C.-H., Böttcher, N., Wang, W., Kolditz, O. (2011):
Are upwind techniques in multi-phase flow models necessary?
J. Comput. Phys. 230 (22), 8304 - 8312