Compact finite difference schemes with spectral-like resolution

DOI10.1016/0021-9991(92)90324-RzbMath0759.65006OpenAlexW2103606462MaRDI QIDQ1201687

Sanjiva K. Lele

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90324-r

zbMATH Keywords

numerical differentiationFinite difference schemeevaluation of derivativesorder of the truncation errorspectral-like resolution

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical differentiation (65D25)

Uses Software

• symrcm

Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• A compact finite difference scheme on a non-equidistant mesh
• Time dependent boundary conditions for hyperbolic systems
• Stability charts in the numerical approximation of partial differential equations: A review
• Initial boundary value problems for the method of lines
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• A hermitian finite difference method for the solution of parabolic equations
• Highly accurate compact implicit methods and boundary conditions
• A simple heuristic method for analyzing the effect of boundary conditions on numerical stability
• Polynomial interpolation methods for viscous flow calculations
• Comparison of conservative and rotational forms in large eddy simulation of turbulent channel flow
• Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence
• Direct simulation of a turbulent boundary layer up to R_θ = 1410
• The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
• Decay of two-dimensional homogeneous turbulence
• Turbulence statistics in fully developed channel flow at low Reynolds number
• Numerical simulation of incompressible flows within simple boundaries: accuracy