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Adaptive finite element methods for compressible two-phase flow

journal contribution
posted on 2023-06-07, 22:56 authored by Erik Burman
We apply the adaptive streamline diffusion method for compressible flow in conservation variables using P1 × P0 finite elements to a conservative model of two-phase flow. The adaptive algorithm is based on an a posteriori error estimate involving certain stability factors related to a linearized dual problem. For a model problem we prove that the stability factors are bounded. We compute the stability factors for some numerical examples in one- and two-space dimensions.

History

Publication status

  • Published

Journal

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

Publisher

World Scientific Publishing

Issue

7

Volume

10

Page range

963-989

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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