Sum-accelerated pseudospectral methods: the Euler-accelerated sinc algorithm
Applied Numerical Mathematics
Dispersion-relation-preserving finite difference schemes for computational acoustics
Journal of Computational Physics
Finite difference schemes for long-time integration
Journal of Computational Physics
High-Accuracy Finite-Difference Schemes for Linear Wave Propagation
SIAM Journal on Scientific Computing
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
Journal of Computational Physics
On the effect of numerical errors in large eddy simulations of turbulent flows
Journal of Computational Physics
Optimized compact-difference-based finite-volume schemes for linear wave phenomena
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Optimised boundary compact finite difference schemes for computational aeroacoustics
Journal of Computational Physics
A new family of high-order compact upwind difference schemes with good spectral resolution
Journal of Computational Physics
Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
Journal of Computational Physics
Hi-index | 31.48 |
We propose a new kind of compact difference scheme for the computation of the first and second derivatives in the simulation of high-Reynolds number turbulent flows. The scheme combines and truncates the pseudospectral representation of derivative for convergence acceleration. Comparison of the wave resolution property with available optimized compact schemes minimizing the prescribed wave resolution error reveals our scheme's superiority for the same size of stencils without introducing optimization parameters. An accompanying boundary scheme is also proposed with the stability analysis. The proposed scheme is tested for the evaluation of derivatives of a function that decays very slowly in the wavenumber space, and for the simulation of three-dimensional isotropic turbulence.