ACCURATE NUMERICAL SIMULATION OF ADVECTION USING LARGE TIME STEPS

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1097-0363(19970130)24:2<127::AID-FLD477>3.0.CO;2-R" /><127::AID-FLD477>3.0.CO;2-R 10.1002/(SICI)1097-0363(19970130)24:2<127::AID-FLD477>3.0.CO;2-RzbMath0952.76064OpenAlexW1980046885MaRDI QIDQ4359256

J. Russell Manson, Steve G. Wallis

Publication date: 28 December 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19970130)24:2<127::aid-fld477>3.0.co;2-r

zbMATH Keywords

monotonicityadvectionmethod of characteristicsuniform gridsemi-Lagrangianuniform velocity fieldfractional time stepconservative control-volume-based discretizationLeonard's QUICKEST algorithmone-dimensional pure convectionULTIMATE DISCUS schemeULTIMATE flux limiter

Mathematics Subject Classification ID

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

Related Items (3)

A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion ⋮ Accurate simulation of transport processes in two-dimensional shear flow ⋮ Limitations of an analytical solution for advection–diffusion with spatially variable coefficients

Cites Work

• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Sharp monotonic resolution of discontinuities without clipping of narrow extrema
• A numerical study of vortex shedding from rectangles
• Discretization of a convection-diffusion equation
• A flux‐based modified method of characteristics
• The nirvana scheme applied to one‐dimensional advection
• An accurate numerical algorithm for advective transport

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