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Adaptive finite element methods for compressible two-phase flow I

journal contribution
posted on 2023-06-07, 19:14 authored by Erik Burman
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.

History

Publication status

  • Published

Journal

Doktorsavhandlingar vid Chalmers Tekniska Hogskola

ISSN

0346718X

Issue

1413

Page range

1-45

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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