Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
On the rotation and skew-symmetric forms for incompressible flow simulations
Applied Numerical Mathematics - Special issue: Transition to turbulence
Journal of Computational Physics
Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
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
Unsteady simulation of jets in a cross flow
Journal of Computational Physics
On performance of methods with third- and fifth-order compact upwind differencing
Journal of Computational Physics
Journal of Computational Physics
On the use of shock-capturing schemes for large-eddy simulation
Journal of Computational Physics
Implicit, high-resolution, compact schemes for gas dynamics and aeroacoustics
Journal of Computational Physics
Turbulence spectra characteristics of high order schemes for direct and large eddy simulation
Applied Numerical Mathematics
Journal of Computational Physics
An essentially nonoscillatory high-order padé-type (ENO-padé) scheme
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
Large Eddy simulation of high-Reynolds-number free and wall-bounded flows
Journal of Computational Physics
A further study of numerical errors in large-eddy simulations
Journal of Computational Physics
Analysis of numerical errors in large eddy simulation using statistical closure theory
Journal of Computational Physics
A new family of high-order compact upwind difference schemes with good spectral resolution
Journal of Computational Physics
A velocity-estimation subgrid model constrained by subgrid scale dissipation
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
High-order incompressible large-eddy simulation of fully inhomogeneous turbulent flows
Journal of Computational Physics
What does Finite Volume-based implicit filtering really resolve in Large-Eddy Simulations?
Journal of Computational Physics
Hi-index | 31.49 |
The suitability of high-order accurate, centered and upwind-biased compact difference schemes for large eddy simulation (LES) is evaluated through the static and dynamic analyses. For the static error analysis, the power spectra of the finite-differencing and aliasing errors are evaluated in the discrete Fourier space, and for the dynamic error analysis LES of isotropic turbulence is performed with various dissipative and non-dissipative schemes. Results from the static analysis give a misleading conclusion that both the aliasing and finite-differencing errors increase as the numerical dissipation increases. The dynamic analysis, however, shows that the aliasing error decreases as the dissipation increases and the finite-differencing error overweighs the aliasing error. It is also shown that there exists an optimal upwind scheme of minimizing the total discretization error because the dissipative schemes decrease the aliasing error but increase the finite-differencing error. In addition, a classical issue on the treatment of nonlinear term in the Navier-Stokes equation is revisited to show that the skew-symmetric form minimizes both the finite-differencing and aliasing errors. The findings from the dynamic analysis are confirmed by the physical space simulations of turbulent channel flow at Re = 23000 and flow over a circular cylinder at Re = 3900.