h-adaptivity and "honest" GFEM for advection-dominated transport

Usmani, Asif, Mayne, David and Crapper, Martin (2002) h-adaptivity and "honest" GFEM for advection-dominated transport. Numerical Heat Transfer, Part B: Fundamentals, 41 (3-4). pp. 339-359. ISSN 1040-7790

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Official URL: http://dx.doi.org/10.1080/104077902753541050

Abstract

A standard two-dimensional Galerkin finite-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 efficient 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 finite-element method provides a powerful means of achieving optimal solutions without having to predefine 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-filled cavity with various orientations, for which experimental results are available.

Item Type: Article
Subjects: H200 Civil Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Becky Skoyles
Date Deposited: 08 Jun 2016 09:04
Last Modified: 08 Jun 2016 09:04
URI: http://nrl.northumbria.ac.uk/id/eprint/27056

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