On the computational efficiency of certain upwinding schemes

DOI10.1016/0045-7825(93)90228-PzbMath0845.76056OpenAlexW1968825161MaRDI QIDQ1912207

A. H. Al-Rabeh

Publication date: 15 September 1996

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(93)90228-p

zbMATH Keywords

method of linesQUICK schemesecond order upwind schemefirst order upwind schemeone-dimensional advection dominated transport equationweighted scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Diffusion and convection (76R99)

Cites Work

• Unnamed Item
• Upwind compact finite difference schemes
• A study of finite difference approximations to steady state, convection- dominated flow problems
• Assessment of finite difference approximations for the advection terms in the simulation of practical flow problems
• 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
• Towards a general integration algorithm for time-dependent one- dimensional systems of parabolic partial differential equations using the method of lines
• A critical evaluation of upstream differencing applied to problems involving fluid flow
• Skew upstream differencing schemes for problems involving fluid flow
• Discretization of nonlinear convection processes: a broad-range comparison of four schemes
• CONDIF: A modified central-difference scheme for convective flows
• An assessment of flow oriented schemes for reducing ‘false diffusion’
• Simple high‐accuracy resolution program for convective modelling of discontinuities
• Curvature-compensated convective transport: SMART, A new boundedness- preserving transport algorithm
• Analysis of error growth for explicit difference schemes in conduction-convection problems
• Stability of finite difference approximations to a diffusion-convection equation
• On an Oscillation Phenomenon in the Numerical Solution of the Diffusion–Convection Equation
• Comparing numerical methods for stiff systems of O.D.E:s
• Efficiency of Navier-Stokes Solvers
• Analysis of explicit difference methods for a diffusion‐convection equation
• Numerical analysis of two‐level finite difference schemes for unsteady diffusion–convection problems
• The automatic integration of ordinary differential equations

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