Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Nonlinearly stable compact schemes for shock calculations
SIAM Journal on Numerical Analysis
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
Compact high-order accurate nonlinear schemes
Journal of Computational Physics
Multidimensional dissipation for upwind schemes: stability and applications to gas dynamics
Journal of Computational Physics
Low-dissipative high-order shock-capturing methods using characteristic-based filters
Journal of Computational Physics
Journal of Computational Physics
Developing high-order weighted compact nonlinear schemes
Journal of Computational Physics
An essentially nonoscillatory high-order padé-type (ENO-padé) scheme
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
High-resolution finite compact difference schemes for hyperbolic conservation laws
Journal of Computational Physics
Journal of Computational Physics
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
A Hermite upwind WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
Stability criteria for hybrid difference methods
Journal of Computational Physics
A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes
Journal of Computational Physics
Prediction of cavitating flow noise by direct numerical simulation
Journal of Computational Physics
The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws
Journal of Computational Physics
A massively parallel multi-block hybrid compact-WENO scheme for compressible flows
Journal of Computational Physics
A hybrid numerical simulation of isotropic compressible turbulence
Journal of Computational Physics
An adaptive central-upwind weighted essentially non-oscillatory scheme
Journal of Computational Physics
New shock detector for shock-boundary layer interaction
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Hi-index | 31.51 |
This paper presents a fifth-order conservative hybrid compact-WENO scheme for shock-capturing calculation. The hybrid scheme is considered as the weighted average of two sub-schemes: the conservative compact scheme proposed by Pirozzoli and the WENO scheme. The weight function is designed so that the abrupt transition from one sub-scheme to another is avoided and the resulting hybrid scheme is essentially oscillation free near the flow discontinuities. A Roe type, characteristic-wise finite difference scheme is proposed which generalizes the hybrid scheme for the scalar equation to the system of conservation laws. Several test cases are presented to validate the proposed scheme.