Computational modelling of compressible nonisothermal viscoelastic fluids

Mackay, A.T. and Phillips, T.N. ORCID: https://orcid.org/0000-0001-6455-1205 2024. Computational modelling of compressible nonisothermal viscoelastic fluids. Computers and Fluids 272 , 106189. 10.1016/j.compfluid.2024.106189

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Abstract

The prediction of compressible nonisothermal flows of viscoelastic fluids is important in many industrial processes. Until relatively recently, there was a lack of tractable thermodynamically consistent mathematical models for this class of flows. In this paper a stabilised finite element scheme is presented for the models developed by the authors Mackay and Phillips (2019) which incorporates compressibility and nonisothermal effects. Numerical results are presented for variants of a couple of benchmark problems: the lid driven cavity and the natural convection problems. The temporal discretisation is based on the Taylor–Galerkin method. A compressible version of the discrete elastic viscous split stress (DEVSS) formulation is used to stabilise the numerical scheme. The combined and separate influence of compressible, viscoelastic and thermal effects on the characteristics of these benchmark flows is studied for the first time.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	0045-7930
Funders:	EPSRC
Date of First Compliant Deposit:	5 February 2024
Date of Acceptance:	22 January 2024
Last Modified:	16 Apr 2024 08:27
URI:	https://orca.cardiff.ac.uk/id/eprint/165981

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