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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 BurmanWe 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.
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Publication status
- Published
Journal
Mathematical Models and Methods in Applied SciencesISSN
0218-2025Publisher
World Scientific PublishingExternal DOI
Issue
7Volume
10Page range
963-989Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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