Analysis of a new high resolution upwind compact scheme

DOI10.1016/j.jcp.2006.02.020zbMath1103.65092OpenAlexW2078425008MaRDI QIDQ853197

V. Eswaran, Arnab Kumar De

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.02.020

zbMATH Keywords

stabilitywave propagationfinite difference methodnumerical examplesdissipationdispersioncompact schemesaeroacousticsdiscontinuous wavedispersion relation preservation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

• Unnamed Item
• Unnamed Item
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• Direct simulations of turbulent flow using finite-difference schemes
• Compact finite difference schemes with spectral-like resolution
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• Highly accurate compact implicit methods and boundary conditions
• A three-point sixth-order nonuniform combined compact difference scheme
• High-order finite-difference schemes for numerical simulation of hypersonic boundary-layer transition
• The stability of numerical boundary treatments for compact high-order finite-difference schemes
• Finite difference schemes for long-time integration
• Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport
• Analysis of central and upwind compact schemes.
• A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
• Compact implicit MacCormack-type schemes with high accuracy
• Fourier analysis of several finite difference schemes for the one-dimensional unsteady convection-diffusion equation
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• High-Accuracy Finite-Difference Schemes for Linear Wave Propagation