Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
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 characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
Journal of Computational Physics
Journal of Computational Physics
Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes
Journal of Scientific Computing
A massively parallel multi-block hybrid compact-WENO scheme for compressible flows
Journal of Computational Physics
Journal of Computational Physics
A hybrid numerical simulation of isotropic compressible turbulence
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.48 |
The stability of hybrid difference methods, where different schemes are used in different parts of the domain, is examined for general schemes. It is shown that the energy method with the natural norm does not prove stability, but that the Kreiss or 'GKS' theory yields sufficient criteria for stability. While the analysis is general, it is discussed primarily in the context of hybrid schemes for shock/turbulence interactions, where a robust shock-capturing scheme is used around the discontinuities and an efficient linear scheme is used in other regions. An example of two coupled schemes that are individually stable yet unstable when coupled is given, showing that stability of hybrid methods is an important and non-trivial matter.