The characteristic-Galerkin method for advection-dominated problems - An assessment

DOI10.1016/0045-7825(87)90100-9zbMath0611.76095OpenAlexW1983695232MaRDI QIDQ1087433

O. C. Zienkiewicz, Jaime Peraire, Joseph Hun-Wei Lee

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90100-9

zbMATH Keywords

spatial discretizationoscillating flowaccuracy analysisrectangular channellinear basis functionspure advectionadvection-dominated problemsbottom frictional dissipationcharacteristic-based finite difference schemecharacteristic-based Galerkin methodclassical Lax-Wendroff methodcoastal hydrodynamic applicationsdispersion of a continuous sourceexplicit time-stepping schemeHermitian cubic interpolating polynomialsimplicit Crank-Nicolson schemelong-wave propagationnumerical propagation characteristicsone-dimensional convective diffusion equationsteep Gaussian profile

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Diffusion (76R50) Basic methods in fluid mechanics (76M99)

Related Items (5)

Development of a high-resolution hyperbolic model on quadratic elements. ⋮ Finite element modelling of multisolute activated carbon adsorption ⋮ Conservative Multimoment Transport along Characteristics for Discontinuous Galerkin Methods ⋮ An ALE-FE method for two-phase flows with dynamic boundaries ⋮ Modeling contaminant transport groundwater: An optimized finite element method

Cites Work

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• Continuous source in tidal flow: A numerical study of the transport equation
• Analysis of an upstream weighted collocation approximation to the transport equation
• On the control of noise in finite element tidal computations: A semi- implicit approach
• The solution of non-linear hyperbolic equation systems by the finite element method
• Shallow water problems: A general explicit formulation

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