Central-upwind scheme for 2D turbulent shallow flows using high-resolution meshes with scalable wall functions

•The RANS equations with the algebraic stress model are solved.•The central-upwind scheme is employed.•Very fines meshes up to 3.4 million cells (6.8 million edges) are used.•A strategy is proposed to simulate wet–dry phenomena near the interfaces.•The scalable wall functions are employed for such v...

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Bibliographic Details
Published in:Computers & fluids 2019-01, Vol.179, p.394-421
Main Author: Ginting, Bobby Minola
Format: Article
Language:English
Subjects:
Central-upwind
Computational fluid dynamics
Computer simulation
High resolution
High-resolution meshes
Mathematical models
Scalable wall functions
Shallow flow
Turbulence
Two dimensional flow
Two dimensional models
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Summary:•The RANS equations with the algebraic stress model are solved.•The central-upwind scheme is employed.•Very fines meshes up to 3.4 million cells (6.8 million edges) are used.•A strategy is proposed to simulate wet–dry phenomena near the interfaces.•The scalable wall functions are employed for such very fine meshes. In this paper, the Reynolds-averaged Navier Stokes equations supplemented by the algebraic stress model are solved using the central-upwind scheme for simulating 2D turbulent shallow flows. The model is of spatially and temporally second-order accurate. To increase the accuracy, high-resolution meshes up to 3.4 million cells (6.8 million edges) are used. Consequently, a strategy combining the hydrostatic and topography reconstructions and the scalable wall functions – is proposed to accurately simulate wet–dry phenomena near the interfaces (moving boundary geometries) thus ensuring a proper calculation for the turbulence properties. This strategy has been proven to be accurate and to not deteriorate the results for such very fine meshes thus giving flexibility to users in generating meshes.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2018.11.014