๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An analysis of the finite element method for natural convection problems

โœ Scribed by J. Boland; W. Layton

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
510 KB
Volume
6
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

โœฆ Synopsis

We derive stability properties and error estimates for the finite element method when used to approximate heat flow in a fluid enclosed by a solid medium. The coupled Navier Stokes system involves the Boussinesq equations in the fluid-filled cavity linked through an interface with heat conduction in the solid enclosing the fluid. As we assume no extra regularity then can be shown to hold under mild restriction on the data (at least over a small time interval in R3), we focus primarily on low order finite element spaces.

๐Ÿ“œ SIMILAR VOLUMES

An adaptive finite element method for fo
An adaptive finite element method for forced convection
โœ D. Pelletier; F. Ilinca; ร‰. Turgeon ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 760 KB

This paper presents an adaptive ยฎnite element method to solve forced convective heat transfer. Solutions are obtained in primitive variables using a high-order ยฎnite element approximation on unstructured grids. Two general-purpose error estimators are developed to analyse ยฎnite element solutions and

An extended finite element method for hy
An extended finite element method for hydraulic fracture problems
โœ Lecampion, Brice ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 404 KB ๐Ÿ‘ 1 views

## Abstract In this paper, the extended finite element method (Xโ€FEM) is investigated for the solution of hydraulic fracture problems. The presence of an internal pressure inside the crack is taken into account. Special tip functions encapsulating tip asymptotics typically encountered in hydraulic