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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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p115_Minotti |
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todo:paper_03928764_v21_n1_p115_Minotti2023-10-03T15:33:54Z Effective large-scale fluid equations Minotti, F.O. Bender, L.E. Dasso, S. 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 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p115_Minotti |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Minotti, F.O. Bender, L.E. Dasso, S. Effective large-scale fluid equations |
| topic_facet |
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 |
| description |
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. |
| format |
JOUR |
| author |
Minotti, F.O. Bender, L.E. Dasso, S. |
| author_facet |
Minotti, F.O. Bender, L.E. Dasso, S. |
| author_sort |
Minotti, F.O. |
| title |
Effective large-scale fluid equations |
| title_short |
Effective large-scale fluid equations |
| title_full |
Effective large-scale fluid equations |
| title_fullStr |
Effective large-scale fluid equations |
| title_full_unstemmed |
Effective large-scale fluid equations |
| title_sort |
effective large-scale fluid equations |
| url |
http://hdl.handle.net/20.500.12110/paper_03928764_v21_n1_p115_Minotti |
| work_keys_str_mv |
AT minottifo effectivelargescalefluidequations AT benderle effectivelargescalefluidequations AT dassos effectivelargescalefluidequations |
| _version_ |
1782026603844337664 |