Uh Zapata, Miguel; Zhang, Wei; Pham Van Bang, Damien 
ORCID: https://orcid.org/0000-0001-8669-0724 et Nguyen, Kim Dan
(2019).
A parallel second-order unstructured finite volume method for 3D free-surface flows using a σ coordinate.
Computers & Fluids
, vol. 190
.
pp. 15-29.
DOI: 10.1016/j.compfluid.2019.06.001.
Résumé
In this paper, we introduce a second-order time- and space-accurate technique, developed to solve in parallel free-surface flows in arbitrary three-dimensional geometries. The discretization is based on a second-order finite-volume technique on prisms elements, consisting of triangular grids on the horizontal and bounded by a free surface and an irregular bottom on the vertical. The equations are transformed vertically to the σ-coordinate system in order to obtain an accurate representation of top and bottom topography. The reconstruction of three presure/velocity decoupling methods using a Crank-Nicolson scheme formulation is proposed. The Momentum Interpolation Method (MIM) is combined with Local Extremum Diminishing (LED) second-order upstream scheme for convective terms is developed. The parallelization is designed by a block domain decomposition technique. The discretization results in non-symmetric variable-coefficient linear systems which are solved using a parallel multi-color Successive Over-Relaxation algorithm. Several test cases of surface wave motion are used to demonstrate the capabilities, numerical stability and performance of the model.
| Type de document: | Article |
|---|---|
| Mots-clés libres: | 3D Navier–Stokes equations; σ Transformation; unstructured grid; finite volume method; projection method; parallel; multi-color SOR method |
| Centre: | Centre Eau Terre Environnement |
| Date de dépôt: | 04 déc. 2019 14:51 |
| Dernière modification: | 15 févr. 2022 21:13 |
| URI: | https://espace.inrs.ca/id/eprint/9640 |
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