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
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
Journal of Computational Physics
High order Hybrid central-WENO finite difference scheme for conservation laws
Journal of Computational and Applied Mathematics
A new family of high-order compact upwind difference schemes with good spectral resolution
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
A new shock/discontinuity detector
International Journal of Computer Mathematics
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Standard compact scheme or upwind compact scheme have high order accuracy and high resolution, but cannot capture the shock which is a discontinuity. This work developed a modified compact scheme by an effective shock detector to block compact scheme to cross the shock, a control function, and an adaptive scheme which uses some WENO flux near the shock. The new scheme makes the original compact scheme able to capture the shock sharper than WENO and, more important, keep high order accuracy and high resolution in the smooth area which is particularly important for shock boundary layer interaction and shock acoustic interaction. The scheme is robust and has no case-related coefficients.