A finite volume method for numerical simulation of turbulence flows using a model
Abderrahim Abakouy  1@  , Elmiloud Chaabelasri  2@  , Abdelouahab Amahmouj, Najim Salhi, Imad Elmahi  3@  
1 : LME
Faculté des Sciences, BP. 717, 60000 Oujda, Maroc -  Maroc
2 : ENSA
03, Ajdir Al-Hoceima -  Maroc
3 : ENSA
Complexe Universitaire, Hay El Qods, B.P 669, 60 000 Oujda -  Maroc

We consider in this work an expanded finite volume numerical approximation of the turbulent shallow water equations, on unstructured meshes, we use a simple discretization in wish only physical fluxes and averaged states are used in their formulations. To control the local diffusion in the scheme and also to preserve monotonicity, a parameter is introduced based on the sign matrix of the flux Jacobian. Numerical results are presented and compared with experimental data, for a backward-facing flow problem, to demonstrate and confirm its capability to provide accurate simulation of turbulent flows.


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