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Title: H-adaptivity and honest GFEM for advection-dominated transport
Authors: Usmani, AS
Mayne, DA
Crapper, M
Issue Date: 2002
Publisher: Taylor & Francis
Citation: Numerical Heat Transfer, Part B: Fundamentals, 41 (3-4): pp. 339 - 359, (2002)
Abstract: A standard two-dimensional Galerkin nite-element method (GFEM) code for coupled Navier–Stokes and energy equations is used with h-adaptive meshing based on a posteriori error estimation using the superconvergent patch recovery technique for solving a range of advection-dominated transport problems. It is demonstrated that such a method provides a highly effective, simple, and ef cient way of dealing with the perennial problems in numerical modeling of advection-dominated transport, such as oscillations or wiggles with central difference-type discretizations (such as GFEM) and numerical (‘‘false’’) diffusion when wiggle-suppressant schemes are used. Additionally, the auto-adaptive nite-element method provides a powerful means of achieving optimal solutions without having to prede ne a mesh, which may be either inadequate or too expensive. A number of benchmark problems are presented as application examples for this method before solving a problem of natural convection in an air- lled cavity with various orientations, for which experimental results are available.
ISSN: 1040-7790
Appears in Collections:Dept of Mechanical Aerospace and Civil Engineering Research Papers

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