A Taylor-series approach to numerical accuracy and a third-order scheme for strong convective flows

DOI10.1016/0045-7825(88)90184-3zbMath0631.76100OpenAlexW2073959938MaRDI QIDQ1094990

B. George

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(88)90184-3

zbMATH Keywords

error analysisaccuracy of numerical discretization schemessecond-order QUICK schemestable third-order accurate numerical methodTaylor-series theoremTaylor-series truncation errorstwo-dimensional test problem

Mathematics Subject Classification ID

Forced convection (76R05) Basic methods in fluid mechanics (76M99)

Related Items (9)

Order of accuracy of QUICK and related convection-diffusion schemes ⋮ Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems ⋮ Multigrid line smoothers for higher order upwind discretizations of convection- dominated problems ⋮ Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems ⋮ Analysis and Design of a Class of Limiter Schemes in Presence of Physical Diffusion ⋮ Flux-limiting techniques for simulation of pollutant transport in porous media: application to groundwater management ⋮ Flux-limiter schemes for oceanic tracers: Application to the English Channel tidal model ⋮ Higher-Order Flux-Limiting Schemes for the Finite Volume Computation of Incompressible Flow ⋮ A high-order finite difference method for 1D nonhomogeneous heat equations

Cites Work

• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Practical evaluation of three finite difference schemes for the computation of steady-state recirculating flows
• Formulae for Numerical Integration
• Formulae for Numerical Differentiation
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