Upwinding of high order Galerkin methods in conduction−convection problems | Zendy

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Upwinding of high order Galerkin methods in conduction−convection problems

Author(s) -

Christie I.,

Mitchell A. R.

Publication year - 1978

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620121113

Subject(s) - galerkin method , upwind scheme , mathematics , thermal conduction , péclet number , convection , grid , finite element method , discontinuous galerkin method , boundary value problem , mathematical analysis , mechanics , geometry , physics , thermodynamics , discretization

Upwinded parabolic and cubic elements are derived on a uniform grid of size h for the finite element Galerkin method applied to the solution of the model conduction−convection problem ε u ″ — Ku ′ = 0, ε, K > 0, subject to the boundary conditions u (0) = 1, u (1) = 0. Extension of the results to more complicated problems is indicated. Finally numerical results are given comparing some of the methods derived for a range of L (= Kh /2ε), the grid Peclet number.

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