Dispersion-relation-preserving finite difference schemes for computational acoustics
Journal of Computational Physics
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
A further study of numerical errors in large-eddy simulations
Journal of Computational Physics
Optimized prefactored compact schemes
Journal of Computational Physics
A family of low dispersive and low dissipative explicit schemes for flow and noise computations
Journal of Computational Physics
Large-eddy simulation without filter
Journal of Computational Physics
Analysis of numerical errors in large eddy simulation using statistical closure theory
Journal of Computational Physics
The dynamic procedure for accuracy improvement of numerical discretizations in fluid mechanics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A study of differentiation errors in large-eddy simulations based on the EDQNM theory
Journal of Computational Physics
On the spectral and conservation properties of nonlinear discretization operators
Journal of Computational Physics
Hi-index | 31.46 |
A family of dynamic low-dispersive finite difference schemes for large-eddy simulation is developed. The dynamic schemes are constructed by combining Taylor series expansions on two different grid resolutions. The schemes are optimized dynamically during the simulation according to the flow physics and dispersion errors are minimized through the real-time adaption of the dynamic coefficient. In case of DNS-resolution, the dynamic schemes reduce to the standard Taylor-based finite difference schemes with formal asymptotic order of accuracy. When going to LES-resolution, the schemes seamlessly adapt to dispersion-relation preserving schemes. The schemes are tested for large-eddy simulation of Burgers' equation and numerical errors are investigated as well as their interaction with the subgrid model. Very good results are obtained.