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Journal of the Brazilian Society of Mechanical Sciences

Print version ISSN 0100-7386

Abstract

MANGIAVACCHI, Norberto; COUTINHO, Alvaro L. G. A.  and  EBECKEN, Nelson F. F.. Turbulent shallow-water model for orographic subgrid-scale perturbations. J. Braz. Soc. Mech. Sci. [online]. 2000, vol.22, n.1, pp. 83-92. ISSN 0100-7386.  http://dx.doi.org/10.1590/S0100-73862000000100007.

A parallel pseudo-spectral method for the simulation in distributed memory computers of the shallow-water equations in primitive form was developed and used on the study of turbulent shallow-waters LES models for orographic subgrid-scale perturbations. The main characteristics of the code are: momentum equations integrated in time using an accurate pseudo-spectral technique; Eulerian treatment of advective terms; and parallelization of the code based on a domain decomposition technique. The parallel pseudo-spectral code is efficient on various architectures. It gives high performance onvector computers and good speedup on distributed memory systems. The code is being used for the study of the interaction mechanisms in shallow-water ows with regular as well as random orography with a prescribed spectrum of elevations. Simulations show the evolution of small scale vortical motions from the interaction of the large scale flow and the small-scale orographic perturbations. These interactions transfer energy from the large-scale motions to the small (usually unresolved) scales. The possibility of including the parametrization of this effects in turbulent LES subgrid-stress models for the shallow-water equations is addressed.

Keywords : Turbulent flows; shallow-water equations; subgrid-scale models; orographic perturbations; parallel processing; spectral methods.

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