A shock-detecting sensor for filtering of high-order compact finite difference schemes

DOI10.1016/j.jcp.2010.09.028zbMath1283.76045OpenAlexW2018745768MaRDI QIDQ617453

Vahid Esfahanian, Kazem Hejranfar, Hossein Mahmoodi Darian

Publication date: 21 January 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.09.028

zbMATH Keywords

shock-capturing schemescompact finite differencenumerical filtersshock-detecting sensors

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Cites Work

• Unnamed Item
• Adaptive filtering and limiting in compact high order methods for multiscale gas dynamics and MHD systems
• A high-wavenumber viscosity for high-resolution numerical methods
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations
• Some results on uniformly high-order accurate essentially nonoscillatory schemes
• Hyperviscosity for compressible flows using spectral methods
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Compact finite difference schemes with spectral-like resolution
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Low-dissipative high-order shock-capturing methods using characteristic-based filters
• On some numerical dissipation schemes
• Weighted essentially non-oscillatory schemes
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Multiresolution wavelet-based adaptive numerical dissipation control for high-order methods
• A spectral vanishing viscosity method for large eddy simulations
• Hyperviscosity for shock-turbulence interactions
• On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
• Fourth-order difference methods for hyperbolic IBVPs
• Efficient implementation of weighted ENO schemes
• The Shuman filtering operator and the numerical computation of shock waves
• Switched numerical Shuman filters for shock calculations
• A STUDY OF THE SHORT WAVE COMPONENTS IN COMPUTATIONAL ACOUSTICS
• VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES
• Implementation of high-order compact finite-difference method to parabolized Navier-Stokes schemes
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Nonlinear Filters for Efficient Shock Computation
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• The Artificial Compression Method for Computation of Shocks and Contact Discontinuities: III. Self-Adjusting Hybrid Schemes
• Practical aspects of higher-order numerical schemes for wave propagation phenomena
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• Weak solutions of nonlinear hyperbolic equations and their numerical computation