Assessment of finite difference approximations for the advection terms in the simulation of practical flow problems

DOI10.1016/0021-9991(88)90074-5zbMath0638.76081OpenAlexW2051027458MaRDI QIDQ1099731

M. A. R. Sharif, Ahmed A. Busnaina

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90074-5

zbMATH Keywords

transport equationnumerical diffusionoscillationssteady-state solutionsslot jetbounding techniquesnumerical dispersiondiscretization schemesadvection- dominated flowsinteracting parallel streamslaminar flow problems

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Basic methods in fluid mechanics (76M99)

Related Items (9)

An investigation into the numerical dispersion problem of the skew upwind finite difference scheme ⋮ A modified skew upwind scheme for fluid flow and heat transfer computations ⋮ On the computational efficiency of certain upwinding schemes ⋮ On the spatial stability of tube flows subject to body forces ⋮ A non-oscillating solution technique for skew upwind and QUICK-family schemes ⋮ Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation ⋮ On the Fourth-Order Accurate Compact ADI Scheme for Solving the Unsteady Nonlinear Coupled Burgers' Equations ⋮ Solution of the advection-diffusion equation using the Eulerian-Lagrangian boundary element method ⋮ Multi‐dimensional monotone flux discretization scheme for convection dominated flows

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• A study of finite difference approximations to steady state, convection- dominated 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
• Flux-corrected transport. II: Generalizations of the method
• Skew upstream differencing schemes for problems involving fluid flow
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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