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A parallel second-order unstructured finite volume method for 3D free-surface flows using a σ coordinate.

Uh Zapata, Miguel; Zhang, Wei; Pham Van Bang, Damien; 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 . p. 15-29. DOI: 10.1016/j.compfluid.2019.06.001.

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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: 04 déc. 2019 14:51
URI: http://espace.inrs.ca/id/eprint/9640

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