Finite elements and characteristics applied to advection-diffusion equations

DOI10.1016/0045-7930(83)90002-6zbMath0511.76089OpenAlexW2063101316MaRDI QIDQ1839154

E. Livne, Yitzhak Hasbani, Michel Bercovier

Publication date: 1983

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(83)90002-6

zbMATH Keywords

one dimensionaltwo dimensionalalgorithm for advection-diffusion equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)

Related Items (14)

Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations ⋮ A mass conservative TR-BDF2 semi-implicit semi-Lagrangian DG discretization of the shallow water equations on general structured meshes of quadrilaterals ⋮ Advection-dispersion simulation by minimization characteristics and alternate direction-explicit methods ⋮ Numerical method of characteristics for one-dimensional blood flow ⋮ An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics ⋮ Semi-Lagrangian finite element exterior calculus for incompressible flows ⋮ An adaptive characteristics method for advective-diffusive transport ⋮ Convergence of lowest-order semi-Lagrangian schemes ⋮ Characteristic stabilized finite element method for the transient Navier-Stokes equations ⋮ Numerical methods for contaminant transport in rivers and estuaries ⋮ A Crank-Nicolson type space-time finite element method for computing on moving meshes ⋮ Fully discrete semi-Lagrangian methods for advection of differential forms ⋮ Analysis of an algorithm for the Galerkin-characteristic method ⋮ The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids

Uses Software

• SHASTA

Cites Work

• Out-of-core solution of linear equations with non-symmetric coefficient matrix
• Finite elements and characteristics for some parabolic-hyperbolic problems
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• The Vortex Method with Finite Elements
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
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