An operator splitting algorithm for the three-dimensional advection-diffusion equation

DOI<461::AID-FLD723>3.0.CO;2-H 10.1002/(SICI)1097-0363(19980915)28:3<461::AID-FLD723>3.0.CO;2-HzbMath0931.76044OpenAlexW2001486770MaRDI QIDQ4236147

Philip L.-F. Liu, Liaqat Ali Khan

Publication date: 28 February 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19980915)28:3<461::aid-fld723>3.0.co;2-h

zbMATH Keywords

concentration gradientsbackward method of characteristicsHermite interpolation functionadvection stepadvection-dominated transport problemsHolly-Preissmann schemeinterpolation of concentration

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Diffusion and convection (76R99)

Related Items (5)

A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids ⋮ Numerical Solution of Two-Dimensional Advection–Diffusion Equation Using Generalized Integral Representation Method ⋮ Multi-Stages Iterative Process for Conservative Economic Finite-Difference Schemes Realization for the Problem of Nonlinear Laser Pulse Interaction with a Medium ⋮ A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems ⋮ A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes

Cites Work

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• An operator‐splitting algorithm for two‐dimensional convection–dispersion–reaction problems
• An operator‐splitting algorithm for the three‐dimensional diffusion equation
• On the Construction and Comparison of Difference Schemes

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