Analysis of a high-order finite difference detector for discontinuities

DOI10.1080/00207160.2015.1124100zbMath1364.76144OpenAlexW2390075512MaRDI QIDQ5737890

Vitor Alves Pires, Maria Luísa Bambozzi de Oliveira

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1124100

zbMATH Keywords

derivativesfinite differencejump discontinuitylimiterdiscontinuity detector

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Numerical interpolation (65D05) Compressible fluids and gas dynamics (76N99) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

• High order hybrid central-WENO finite difference scheme for conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Compact finite difference schemes with spectral-like resolution
• Low-dissipative high-order shock-capturing methods using characteristic-based filters
• Weighted essentially non-oscillatory schemes
• Adaptive multiresolution schemes for shock computations
• A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
• Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks.
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
• A new family of high-order compact upwind difference schemes with good spectral resolution
• A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis
• A new shock/discontinuity detector