✦ LIBER ✦

Variable upwinding and adaptive mesh refinement in convection-diffusion

✍ Scribed by G. F. Carey; T. Plover

Publisher: John Wiley and Sons
Year: 1983
Tongue: English
Weight: 653 KB
Volume: 19
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620190304

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✦ Synopsis

An analysis of the stability and oscillation properties of upwind finite element methods for convectiondiffusion is given and used to develop a variable upwinding formulation. This formulation is particularly well suited to problems with nonconstant coefficients, nonlinearity or non-uniform meshes. We present the theoretical analysis and numerical studies for a standard steady-state and transient model onedimensional convection-diffusion problem. The variable upwind strategy can also be used to significant advantage in conjunction with adaptive mesh refinement. Numerical results for the steady-state case in which convection dominates and the mesh is adaptively refined into a boundary layer confirm the efficacy of the scheme.

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