Steady discrete shocks of 5th and 7th-order RBC schemes and shock profiles of their equivalent differential equations

DOI10.1016/j.jcp.2014.04.045zbMath1349.76497OpenAlexW2002877246MaRDI QIDQ349384

Alain Lerat

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.04.045

zbMATH Keywords

high-order schemesshock capturingdiscrete shock profilesresidual-based compact schemesequivalent differential equationmodified equation

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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A high-order time formulation of the RBC schemes for unsteady compressible Euler equations ⋮ An efficient high-order compact scheme for the unsteady compressible Euler and Navier-Stokes equations

Cites Work

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• Spectral properties of high-order residual-based compact schemes for unsteady compressible flows
• Steady discrete shocks of high-order RBC schemes
• A simple construction of very high order non-oscillatory compact schemes on unstructured meshes
• On postshock oscillations due to shock capturing schemes in unsteady flows
• High-order residual-based compact schemes for compressible inviscid flows
• Residual distribution schemes: current status and future trends
• Discrete shocks for difference approximations to systems of conservation laws
• The validity of the modified equation for nonlinear shock waves
• Approximate Riemann solvers, parameter vectors, and difference schemes
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Dispersion and Gibbs phenomenon associated with difference approximations to initial boundary-value problems for hyperbolic equations
• A systematic approach for correcting nonlinear instabilities: The Lax- Wendroff scheme for scalar conservation laws
• Residual-based compact schemes for multidimensional hyperbolic systems of conservation laws
• Semi-discrete shock profiles for hyperbolic systems of conservation laws
• On the design of high order residual-based dissipation for unsteady compressible flows
• Residual distribution for general time-dependent conservation laws
• Heuristic stability theory for finite-difference equations
• Discrete shocks
• Models of Difference Schemes for u t + u x = 0 by Partial Differential Equations
• Discrete shock profiles for systems of conservation laws
• Unstable Godunov Discrete Profiles for Steady Shock Waves
• First Differential Approximation Method and Approximate Viscosity of Difference Schemes
• Existence and stability of stationary profiles of the lw scheme
• A residual-based compact scheme for the compressible Navier-Stokes equations

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