An accurate numerical algorithm for advective transport

DOI10.1002/cnm.1640111210zbMath0840.76056OpenAlexW2027311905MaRDI QIDQ4868061

J. Russell Manson, Steve G. Wallis

Publication date: 4 July 1996

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640111210

zbMATH Keywords

characteristicsLagrangian treatmentEulerian schemesQUICKEST schemelarge Courant numbersDISCUS scheme

Mathematics Subject Classification ID

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

Related Items (6)

ACCURATE NUMERICAL SIMULATION OF ADVECTION USING LARGE TIME STEPS ⋮ A conservative semi-Lagrangian method for oscillation-free computation of advection processes ⋮ Accuracy characteristics of traditional finite volume discretizations for unsteady computational fluid dynamics ⋮ A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion ⋮ Adaptive stochastic numerical scheme in parallel random walk models for transport problems in shallow water ⋮ Accurate simulation of transport processes in two-dimensional shear flow

Cites Work

• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Sharp monotonic resolution of discontinuities without clipping of narrow extrema
• Advection-diffusion modelling using the modified QUICK scheme
• A flux‐based modified method of characteristics

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