Time-dependent semi-discrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilised formulation
Barrenechea, Gabriel R. and Castillo, Ernesto and Codina, Ramon (2019) Time-dependent semi-discrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilised formulation. IMA Journal of Numerical Analysis, 39 (2). 792–819. ISSN 0272-4979
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Text (Barrenechea-etal-JNA-2018-Time-dependent-semi-discrete-analysis-of-the-viscoelastic-fluid-flow-problem)
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Abstract
In this article we analyse a stabilised finite element formulation recently proposed to approximate viscoelastic fluid flows. The formulation has shown to have accuracy and robustness in the different benchmarks tested in the viscoelastic framework and permitting the use of equal interpolation of the unknown fields. We first present results about a linearised sub-problem, for which well-posedness and stability results can be proved. Then, the semi-discrete nonlinear time-dependent case is addressed using a fixed point theorem, which allows us to prove existence of a semi-discrete solution, along with error estimates.
Creators(s): |
Barrenechea, Gabriel R. ![]() | Item type: | Article |
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ID code: | 64030 |
Keywords: | viscoelastic fluids, stabilised finite element methods, time-dependent flows, Mathematics, Mathematics(all) |
Subjects: | Science > Mathematics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 14 May 2018 10:36 |
Last modified: | 21 Jan 2021 10:04 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/64030 |
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