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Grid‐independent depth‐averaged simulations with a collocated unstructured finite volume scheme
Author(s) -
Larmaei M. Moradi,
Behzadi J.,
Mahdi TewFik
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2538
Subject(s) - unstructured grid , finite volume method , grid , scheme (mathematics) , mathematics , computational fluid dynamics , mathematical optimization , convection–diffusion equation , computer science , geometry , mathematical analysis , mechanics , physics
SUMMARY In this article, the depth‐averaged transport equations are written in a new way so that it is possible to solve the transport equations for very small water depths. Variables are interpolated into the cell face with two different schemes and, the schemes are compared in terms of computational cost and accuracy. The bed source terms are computed using two different assumptions. The effect of these assumptions on numerical simulations is then investigated. Solutions of transport equations on different types of unstructured triangular grids are compared and, an appropriate choice of grid is suggested. Copyright © 2011 John Wiley & Sons, Ltd.