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http://bura.brunel.ac.uk/handle/2438/11820
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. |
URI: | http://www.tandfonline.com/doi/abs/10.1080/104077902753541050 http://bura.brunel.ac.uk/handle/2438/11820 |
DOI: | http://dx.doi.org/10.1080/104077902753541050 |
ISSN: | 1040-7790 1521-0626 |
Appears in Collections: | Dept of Mechanical and Aerospace Engineering Research Papers |
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