Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Ten lectures on wavelets
High-order ENO schemes applied to two- and three-dimensional compressible flow
Applied Numerical Mathematics
Adaptive multiresolution schemes for shock computations
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
Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I
SIAM Journal on Scientific Computing
High resolution schemes for hyperbolic conservation laws
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A general class of commutative filters for LES in complex geometries
Journal of Computational Physics
Journal of Computational Physics
Conservative hybrid compact-WENO schemes for shock-turbulence interaction
Journal of Computational Physics
Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
SIAM Journal on Scientific Computing
Fully adaptive multiresolution finite volume schemes for conservation laws
Mathematics of Computation
A family of low dispersive and low dissipative explicit schemes for flow and noise computations
Journal of Computational Physics
Journal of Computational Physics
Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
Journal of Computational Physics
Journal of Computational Physics
Selective monotonicity preservation in scalar advection
Journal of Computational Physics
Hybrid weighted essentially non-oscillatory schemes with different indicators
Journal of Computational Physics
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
Journal of Computational Physics
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws
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
Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations
Journal of Scientific Computing
Journal of Computational Physics
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In this article we present a high resolution hybrid central finite difference-WENO scheme for the solution of conservation laws, in particular, those related to shock-turbulence interaction problems. A sixth order central finite difference scheme is conjugated with a fifth order weighted essentially non-oscillatory WENO scheme in a grid-based adaptive way. High order multi-resolution analysis is used to detect the high gradients regions of the numerical solution in order to capture the shocks with the WENO scheme while the smooth regions are computed with the more efficient and accurate central finite difference scheme. The application of high order filtering to mitigate the dispersion error of central finite difference schemes is also discussed. Numerical experiments with the 1D compressible Euler equations are shown.