Numerical viscosity reduction in the resolution of the shallow water equations with turbulent term |
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| Authors: | J. Fe L. Cueto‐Felgueroso F. Navarrina J. Puertas |
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| Affiliation: | 1. Grupo de Métodos Numéricos en Ingeniería, Universidad de A Coru?a, Campus de Elvi?a, 15071 A Coru?a, Spain;2. E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universidad de A Coru?a, Campus de Elvi?a, 15071 A Coru?a, Spain;3. Aerospace Computational Design Laboratory, Department of Aeronautics & Astronautics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, U.S.A.;4. Grupo de Ingeniería del Agua y del Medio Ambiente, Universidad de A Coru?a, Campus de Elvi?a, 15071 A Coru?a, Spain |
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| Abstract: | 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. |
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| Keywords: | finite volume upwind shallow water numerical viscosity reduction turbulent term gradient mean values |
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