Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Nonlinearly stable compact schemes for shock calculations
SIAM Journal on Numerical Analysis
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
Higher order KFVS algorithms using compact upwind difference operators
Journal of Computational Physics
Journal of Computational Physics
Developing high-order weighted compact nonlinear schemes
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
Application of Compact Schemes to Large Eddy Simulation of Turbulent Jets
Journal of Scientific Computing
Short Note: Hyperviscosity for shock-turbulence interactions
Journal of Computational Physics
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
Journal of Computational Physics
High-resolution finite compact difference schemes for hyperbolic conservation laws
Journal of Computational Physics
An artificial nonlinear diffusivity method for supersonic reacting flows with shocks
Journal of Computational Physics
A characteristic-based shock-capturing scheme for hyperbolic problems
Journal of Computational Physics
A new family of high-order compact upwind difference schemes with good spectral resolution
Journal of Computational Physics
Development of nonlinear weighted compact schemes with increasingly higher order accuracy
Journal of Computational Physics
Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
Hi-index | 31.45 |
A class of generalized high order finite compact difference schemes is proposed for shock/vortex, shock/boundary layer interaction problems. The finite compact difference scheme takes the region between two shocks as a compact stencil. The high order WENO fluxes on shock stencils are used as the internal boundary fluxes for the compact scheme. A lemma based on the property of smoothness estimators on a 5-points stencil is given to detect the shock position. There is no free parameter introduced to switch the compact scheme and the WENO scheme. Some numerical experiments are given and they demonstrate that the present scheme has low dissipation due to the compact central differencing scheme used in the smooth regions.