Construction of explicit and implicit symmetric tvd schemes and their applications
Journal of Computational Physics
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
A comparison of ENO and TVD schemes for the computation of shock-turbulence interaction
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
A well-behaved TVD limiter for high-resolution calculations of unsteady flow
Journal of Computational Physics
Low-dissipative high-order shock-capturing methods using characteristic-based filters
Journal of Computational Physics
Large-eddy simulation of the shock/turbulence interaction
Journal of Computational Physics
On the use of shock-capturing schemes for large-eddy simulation
Journal of Computational Physics
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws
A family of low dispersive and low dissipative explicit schemes for flow and noise computations
Journal of Computational Physics
Short note: On the spectral properties of shock-capturing schemes
Journal of Computational Physics
Journal of Computational Physics
A shock-detecting sensor for filtering of high-order compact finite difference schemes
Journal of Computational Physics
SIAM Journal on Scientific Computing
On the spectral and conservation properties of nonlinear discretization operators
Journal of Computational Physics
Generalized finite compact difference scheme for shock/complex flowfield interaction
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.47 |
A shock-capturing methodology is developed for non-linear computations using low-dissipation schemes and centered finite differences. It consists in applying an adaptative second-order filtering to handle discontinuities in combination with a background selective filtering to remove grid-to-grid oscillations. The shock-capturing filtering is written in its conservative form, and its magnitude is determined dynamically from the flow solutions. A shock-detection procedure based on a Jameson-like shock sensor is derived so as to apply the shock-capturing filtering only around shocks. A second-order filter with reduced errors in the Fourier space with respect to the standard second-order filter is also designed. Linear and non-linear 1D and 2D problems are solved to show that the methodology is capable of capturing shocks without providing dissipation outside shocks. The shock detection allows in particular to distinguish shocks from linear waves, and from vortices when it is performed from dilatation rather than from pressure. Finally the methodology is simple to implement and reasonable in terms of computational cost.