Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD

DOI10.1007/s10483-007-0711-xzbMath1231.35150OpenAlexW1997972113MaRDI QIDQ940357

Zhi-Hua Xie, Jian-Guo Lin, Jun-Tao Zhou

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0711-x

zbMATH Keywords

lid-driven cavity flowcompact schemeexplicitarbitrary order of accuracythree-point stencil

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Small-stencil Padé schemes to solve nonlinear evolution equations
• Compact finite difference schemes with spectral-like resolution
• A family of high order finite difference schemes with good spectral resolution
• On performance of methods with third- and fifth-order compact upwind differencing
• A three-point combined compact difference scheme
• The stability of numerical boundary treatments for compact high-order finite-difference schemes
• Numerical schemes with high order of accuracy for the computation of shock waves
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A staggered compact finite difference formulation for the compressible Navier-Stokes equations
• Analysis of super compact finite difference method and application to simulation of vortex-shock interaction
• Numerical solution of the incompressible Navier-Stokes equations with an upwind compact difference scheme
• A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients
• Spatial Finite Difference Approximations for Wave-Type Equations
• Prefactored small-stencil compact schemes

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