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Numerical viscosity reduction in the resolution of the shallow water equations with turbulent term
Author(s) -
Fe J.,
CuetoFelgueroso L.,
Navarrina F.,
Puertas J.
Publication year - 2008
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.1759
Subject(s) - upwind scheme , finite volume method , discretization , turbulence , term (time) , turbulence modeling , euler equations , viscosity , mathematics , shallow water equations , numerical diffusion , euler's formula , mechanics , mathematical analysis , physics , thermodynamics , quantum mechanics
A first‐order finite volume model for the resolution of the 2D shallow water equations with turbulent term is presented. An upwind discretization of the equations that include the turbulent term is carried out. A method to reduce the excess of numerical viscosity (or diffusion) produced by the upwinding of the flux term is proposed. Two different discretizations of the turbulent term are compared, and results for uniform distributions of the viscosity are presented. Finally, two discretizations of the time derivative which are more efficient than Euler's are proposed and compared. Copyright © 2008 John Wiley & Sons, Ltd.