Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Total variation diminishing Runge-Kutta schemes
Mathematics of Computation
MPDATA: a finite-difference solver for geophysical flows
Journal of Computational Physics
On the use of shock-capturing schemes for large-eddy simulation
Journal of Computational Physics
Large-eddy simulations of convective boundary layers using nonoscillatory differencing
Physica D - Special issue originating from the 18th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, May 11&mdash ;15, 1998
Journal of Computational Physics
Large Eddy simulation of high-Reynolds-number free and wall-bounded flows
Journal of Computational Physics
Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows
Journal of Computational Physics
An adaptive local deconvolution method for implicit LES
Journal of Computational Physics
A dynamic finite volume scheme for large-eddy simulation on unstructured grids
Journal of Computational Physics
An improved reconstruction method for compressible flows with low Mach number features
Journal of Computational Physics
On entropy generation and dissipation of kinetic energy in high-resolution shock-capturing schemes
Journal of Computational Physics
Letter to the editor: A triple level finite element method for large eddy simulations
Journal of Computational Physics
Exact and approximate solutions of Riemann problems in non-linear elasticity
Journal of Computational Physics
WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions
Journal of Computational Physics
Scale separation for implicit large eddy simulation
Journal of Computational Physics
Journal of Computational Physics
WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows
Journal of Computational Physics
Hi-index | 31.49 |
Simulations of homogeneous decaying turbulence (HDT) in a periodic cube have been used to examine in a detailed and quantitative manner the behaviour of high-resolution and high-order methods in implicit large eddy simulation. Computations have been conducted at grid resolutions from 323 to 2563 for seven different high-resolution methods ranging from second-order to ninth-order spatial accuracy. The growth of the large scales, and dissipation of kinetic energy is captured well at resolutions greater than 323, or when using numerical methods of higher than third-order accuracy. Velocity increment probability distribution functions (PDFs) match experimental results very well for MUSCL methods, whereas WENO methods have lower intermittency. All pressure PDFs are essentially Gaussian, indicating a partial decoupling of pressure and vorticity fields. The kinetic energy spectra and effective numerical filter show that all schemes are too dissipative at high wave numbers. Evaluating the numerical viscosity as a spectral eddy viscosity shows good qualitative agreement with theory, however if the effective cut-off wave number is chosen above kmax/2 then dissipation is higher than the theoretical solution. The fifth and higher-order methods give results approximately equivalent to the lower order methods at double the grid resolution, making them computationally more efficient.