Nonlinear finite-volume scheme for complex flow processes on corner-point grids. (English) Zbl 1365.76170
Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 417-425 (2017).
Summary: The numerical simulation of subsurface processes requires efficient and robust methods due to the large scales and the complex geometries involved. In this article, a nonlinear finite-volume scheme is presented and applied to non-isothermal two-phase two-component flow in porous media. The idea of the scheme and the model used for the simulations are outlined and a comparison to a standard scheme used in industrial codes is made. Large-scale offshore CO\(_2\) storage in the Johansen formation serves as a benchmark problem, where it is demonstrated that the new scheme can handle highly complex corner-point grids and reproduces the physical processes with a higher accuracy than the standard discretization scheme.
For the entire collection see [Zbl 1371.65001].
For the entire collection see [Zbl 1371.65001].
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 65N08 | Finite volume methods for boundary value problems involving PDEs |
| 35Q30 | Navier-Stokes equations |
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