A Method for Choosing the Spatial and Temporal Approximations for the LES Approach
Analysis and optimization of the hybrid upwind-central numerical methods for modern versions of large eddy simulations (LESs) are presented herein. Optimization was performed based on examination of the characteristics of the spatial and temporal finite-volume approximations of the convective terms...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Fluids |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2311-5521/7/12/376 |
| _version_ | 1827639623728234496 |
|---|---|
| author | Sergei Bakhne Vladimir Sabelnikov |
| author_facet | Sergei Bakhne Vladimir Sabelnikov |
| author_sort | Sergei Bakhne |
| collection | DOAJ |
| description | Analysis and optimization of the hybrid upwind-central numerical methods for modern versions of large eddy simulations (LESs) are presented herein. Optimization was performed based on examination of the characteristics of the spatial and temporal finite-volume approximations of the convective terms of filtered Navier–Stokes equations. A method for selecting level of subgrid viscosity that corresponds to the chosen numerical scheme and makes it possible to obtain an extended inertial interval of the energy spectrum is proposed. A series of LESs of homogeneous isotropic turbulence decay were carried out, and the optimal values of the subgrid model constants included in the hybrid shear stress transport delay detached eddy simulation (SST-DDES) method were determined. A procedure for generating a consistent initial field of subgrid parameters for these simulations is described. The three-stage explicit Runge–Kutta method was demonstrated to be sufficient for stable time integration, while the popular explicit midpoint method was not. The slope of the energy spectrum was shown to be almost independent of the central-difference scheme order and of the mesh spacing when the correct numerical method was applied. Numerical viscosity was found to become much greater than subgrid viscosity when the upwind scheme contributed about 10% or more to the convective flux approximation. |
| first_indexed | 2024-03-09T16:42:54Z |
| format | Article |
| id | doaj.art-4be027a9063e4db49e55e63429565e5d |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-09T16:42:54Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-4be027a9063e4db49e55e63429565e5d2023-11-24T14:49:25ZengMDPI AGFluids2311-55212022-12-0171237610.3390/fluids7120376A Method for Choosing the Spatial and Temporal Approximations for the LES ApproachSergei Bakhne0Vladimir Sabelnikov1Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., 140180 Zhukovsky, RussiaCentral Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., 140180 Zhukovsky, RussiaAnalysis and optimization of the hybrid upwind-central numerical methods for modern versions of large eddy simulations (LESs) are presented herein. Optimization was performed based on examination of the characteristics of the spatial and temporal finite-volume approximations of the convective terms of filtered Navier–Stokes equations. A method for selecting level of subgrid viscosity that corresponds to the chosen numerical scheme and makes it possible to obtain an extended inertial interval of the energy spectrum is proposed. A series of LESs of homogeneous isotropic turbulence decay were carried out, and the optimal values of the subgrid model constants included in the hybrid shear stress transport delay detached eddy simulation (SST-DDES) method were determined. A procedure for generating a consistent initial field of subgrid parameters for these simulations is described. The three-stage explicit Runge–Kutta method was demonstrated to be sufficient for stable time integration, while the popular explicit midpoint method was not. The slope of the energy spectrum was shown to be almost independent of the central-difference scheme order and of the mesh spacing when the correct numerical method was applied. Numerical viscosity was found to become much greater than subgrid viscosity when the upwind scheme contributed about 10% or more to the convective flux approximation.https://www.mdpi.com/2311-5521/7/12/376numerical dissipationcentral differencesWENOhybrid schemesDEShomogeneous isotropic turbulence |
| spellingShingle | Sergei Bakhne Vladimir Sabelnikov A Method for Choosing the Spatial and Temporal Approximations for the LES Approach Fluids numerical dissipation central differences WENO hybrid schemes DES homogeneous isotropic turbulence |
| title | A Method for Choosing the Spatial and Temporal Approximations for the LES Approach |
| title_full | A Method for Choosing the Spatial and Temporal Approximations for the LES Approach |
| title_fullStr | A Method for Choosing the Spatial and Temporal Approximations for the LES Approach |
| title_full_unstemmed | A Method for Choosing the Spatial and Temporal Approximations for the LES Approach |
| title_short | A Method for Choosing the Spatial and Temporal Approximations for the LES Approach |
| title_sort | method for choosing the spatial and temporal approximations for the les approach |
| topic | numerical dissipation central differences WENO hybrid schemes DES homogeneous isotropic turbulence |
| url | https://www.mdpi.com/2311-5521/7/12/376 |
| work_keys_str_mv | AT sergeibakhne amethodforchoosingthespatialandtemporalapproximationsforthelesapproach AT vladimirsabelnikov amethodforchoosingthespatialandtemporalapproximationsforthelesapproach AT sergeibakhne methodforchoosingthespatialandtemporalapproximationsforthelesapproach AT vladimirsabelnikov methodforchoosingthespatialandtemporalapproximationsforthelesapproach |