Artículo
Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Effective large-scale fluid equations |
| Autor: | Minotti, F.O.; Bender, L.E.; Dasso, S. |
| Filiación: | Instituto de Fisica del Plasma, Departamento de Fisica, Universidad de Buenos Aires, Buenos Aires, Argentina IAFE, CONICET-UBA, Buenos Aires, Argentina |
| Palabras clave: | Approximation theory; Computer simulation; Incompressible flow; Navier Stokes equations; Nonlinear systems; Pressure; Burgers flow; Kinematic viscosity; Large-scale fluid equations; Subgrid scale stresses; Nonlinear equations |
| Año: | 2003 |
| Volumen: | 21 |
| Número: | 1 |
| Página de inicio: | 115 |
| Página de fin: | 119 |
| Título revista: | International Journal of Heat and Technology |
| Título revista abreviado: | Int. J. Heat Technol. |
| ISSN: | 03928764 |
| CODEN: | HETEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p115_Minotti |
Referencias:
- Minotti, F.O., Self-consistent derivation of subgrid stresses for large-scale fluid equations (2000) Phys. Rev. E, 61, pp. 429-434
- Minotti, F.O., Dasso, S., Formulation of subgrid stresses for large-scale fluid equations (2001) Phys. Rev. E, 63, pp. 036306/1-036306/7
- Germano, M., Turbulence: The filtering approach (1992) J. Fluid Mech., 238, pp. 325-336
- 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
- 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
- Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in FORTRAN, , chap. 19, Cambridge University Press
Citas:
---------- APA ----------
Minotti, F.O., Bender, L.E. & Dasso, S. (2003) . Effective large-scale fluid equations. International Journal of Heat and Technology, 21(1), 115-119.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p115_Minotti [ ]
---------- CHICAGO ----------
Minotti, F.O., Bender, L.E., Dasso, S. "Effective large-scale fluid equations" . International Journal of Heat and Technology 21, no. 1 (2003) : 115-119.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p115_Minotti [ ]
---------- MLA ----------
Minotti, F.O., Bender, L.E., Dasso, S. "Effective large-scale fluid equations" . International Journal of Heat and Technology, vol. 21, no. 1, 2003, pp. 115-119.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p115_Minotti [ ]
---------- VANCOUVER ----------
Minotti, F.O., Bender, L.E., Dasso, S. Effective large-scale fluid equations. Int. J. Heat Technol. 2003;21(1):115-119.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03928764_v21_n1_p115_Minotti [ ]
