An analysis of numerical errors in large-eddy simulations of turbulence
Journal of Computational Physics
On the effect of numerical errors in large eddy simulations of turbulent flows
Journal of Computational Physics
Fully conservative higher order finite difference schemes for incompressible flow
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A further study of numerical errors in large-eddy simulations
Journal of Computational Physics
A numerical method for large-eddy simulation in complex geometries
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A velocity-estimation subgrid model constrained by subgrid scale dissipation
Journal of Computational Physics
A study of differentiation errors in large-eddy simulations based on the EDQNM theory
Journal of Computational Physics
A family of dynamic finite difference schemes for large-eddy simulation
Journal of Computational Physics
Error-Landscape Assessment of Large-Eddy Simulations: A Review of the Methodology
Journal of Scientific Computing
Hi-index | 31.48 |
This paper develops a dynamic error analysis procedure for the numerical errors arising from spatial discretization in large-eddy simulation. The analysis is based on EDQNM closure theory, and is applied to the LES of decaying isotropic turbulence. First, the effects of finite-differencing truncation error, aliasing error and the dynamic Smagorinsky model are independently considered. The time-evolution of kinetic energy and spectra predicted by the analysis are compared to actual LES using the Navier-Stokes equations, and good agreement is obtained. The analysis is then extended to simultaneously consider all sources of error in a second-order discretely energy conserving, central-difference LES solver. Good agreement between the analysis and actual LES is obtained. The analysis is used to compare the contribution of the subgrid model to that of numerical errors, and it is shown that the contribution of the subgrid scale model is much higher than the numerical errors. The proposed one-dimensional EDQNM-LES model shows potential as a more general tool for the analysis of numerical error, and SGS model in simulations of turbulent flow.