Adaptive finite element methods for compressible two-phase flow I

Burman, Erik (1998) Adaptive finite element methods for compressible two-phase flow I. Doktorsavhandlingar vid Chalmers Tekniska Hogskola (1413). pp. 1-45. ISSN 0346718X

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Abstract

We apply the streamline diffusion finite element method for compressible flow in conservation variables using P1 × P0 finite elements to a model of two-phase flow in one space dimension. A posteriori error estimates are derived in which the error is bounded by the mesh size, the residual and certain stability factors. It is shown analytically for a model problem that the stability factors are bounded by a moderate constant. The stability factors for some related equations of fluid mechanics are computed numerically.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 18:13
Last Modified: 06 Feb 2012 21:30
URI: http://srodev.sussex.ac.uk/id/eprint/15258
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