Effective large-scale fluid equations

A general procedure for deriving effective large-scale fluid equations is presented. It is applicable to a large class of non-linear systems. Starting from the original dynamical equations, the formalism determines closed equations governing the large-scale component of the fields. In this way, comp...

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Autor principal: Minotti, Fernando Oscar
Otros Autores: Bender, Laurence Eugene, Dasso, Sergio Ricardo
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: International Information and Engineering Technology Association 2003
Acceso en línea:Registro en Scopus
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100 1 |a Minotti, Fernando Oscar 
245 1 0 |a Effective large-scale fluid equations 
260 |b International Information and Engineering Technology Association  |c 2003 
270 1 0 |m Minotti, F.O.; Instituto de Fisica del Plasma, Departamento de Fisica, Universidad de Buenos Aires, Buenos Aires, Argentina 
504 |a Minotti, F.O., Self-consistent derivation of subgrid stresses for large-scale fluid equations (2000) Phys. Rev. E, 61, pp. 429-434 
504 |a Minotti, F.O., Dasso, S., Formulation of subgrid stresses for large-scale fluid equations (2001) Phys. Rev. E, 63, pp. 036306/1-036306/7 
504 |a Germano, M., Turbulence: The filtering approach (1992) J. Fluid Mech., 238, pp. 325-336 
504 |a Schumann, U., Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli (1975) J. Comp. Phys., 18, pp. 376-404 
504 |a Clark, R.A., Ferziger, J.H., Reynolds, W.C., Evaluation of subgrid-scale models using an accurately simulated turbulent flow (1979) J. Fluid Mech., 91, pp. 1-16 
504 |a Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in FORTRAN, , chap. 19, Cambridge University Press 
506 |2 openaire  |e Política editorial 
520 3 |a A general procedure for deriving effective large-scale fluid equations is presented. It is applicable to a large class of non-linear systems. Starting from the original dynamical equations, the formalism determines closed equations governing the large-scale component of the fields. In this way, complex flows can be numerically simulated with moderate computational resources. The procedure is applied to the two-dimensional Navier-Stokes equation for incompressible flow and to a decaying one dimensional Burgers flow. The resulting systems are numerically solved on a coarse grid. The solutions are compared to direct numerical simulations of the Navier-Stokes equation and of Burgers equation, which require a much finer grid. The characteristic features of the flow at all stages of its evolution are well reproduced, including a correct energy exchange between large and small scales.  |l eng 
593 |a Instituto de Fisica del Plasma, Departamento de Fisica, Universidad de Buenos Aires, Buenos Aires, Argentina 
593 |a IAFE, CONICET-UBA, Buenos Aires, Argentina 
690 1 0 |a APPROXIMATION THEORY 
690 1 0 |a COMPUTER SIMULATION 
690 1 0 |a INCOMPRESSIBLE FLOW 
690 1 0 |a NAVIER STOKES EQUATIONS 
690 1 0 |a NONLINEAR SYSTEMS 
690 1 0 |a PRESSURE 
690 1 0 |a BURGERS FLOW 
690 1 0 |a KINEMATIC VISCOSITY 
690 1 0 |a LARGE-SCALE FLUID EQUATIONS 
690 1 0 |a SUBGRID SCALE STRESSES 
690 1 0 |a NONLINEAR EQUATIONS 
700 1 |a Bender, Laurence Eugene 
700 1 |a Dasso, Sergio Ricardo 
773 0 |d International Information and Engineering Technology Association, 2003  |g v. 21  |h pp. 115-119  |k n. 1  |p Int. J. Heat Technol.  |x 03928764  |t International Journal of Heat and Technology 
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