An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics

DOI10.1016/0307-904X(89)90083-8zbMath0678.76090OpenAlexW2021356370WikidataQ127946028 ScholiaQ127946028MaRDI QIDQ1124480

S. H. Smith

Publication date: 1989

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(89)90083-8

zbMATH Keywords

advection-diffusion equationSimpson's rulesplit-operator methodnumerical integrationsLagrangian elementweighted residual approach

Mathematics Subject Classification ID

Diffusion (76R50) Basic methods in fluid mechanics (76M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions ⋮ Numerical analyses of operator-splitting algorithms for the two-dimensional advection-diffusion equation

Uses Software

• SHASTA

Cites Work

• Unnamed Item
• A comparison of flux limited difference methods and characteristic Galerkin methods for shock modelling
• A higher order numerical scheme for scalar transport
• Finite elements and characteristics applied to advection-diffusion equations
• Accurate Petrov-Galerkin methods for transient convective diffusion problems
• A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
• An explicit finite difference scheme based on the modified method of characteristics for solving convection-diffusion problems in one space dimension
• Economical alternatives to Gaussian quadrature over isoparametric quadrilaterals
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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