Compressive advection and multi-component methods for interface-capturing

Pavlidis, Dimitrios, Gomes, Jefferson L. M. A., Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427, Percival, James R., Pain, Christopher C. and Matar, Omar K. 2016. Compressive advection and multi-component methods for interface-capturing. International Journal for Numerical Methods in Fluids 80 (4) , pp. 256-282. 10.1002/fld.4078

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Abstract

This paper develops methods for interface-capturing in multiphase flows. The main novelties of these methods are as follows: (a) multi-component modelling that embeds interface structures into the continuity equation; (b) a new family of triangle/tetrahedron finite elements, in particular, the P1DG-P2(linear discontinuous between elements velocity and quadratic continuous pressure); (c) an interface-capturing scheme based on compressive control volume advection methods and high-order finite element interpolation methods; (d) a time stepping method that allows use of relatively large time step sizes; and (e) application of anisotropic mesh adaptivity to focus the numerical resolution around the interfaces and other areas of important dynamics. This modelling approach is applied to a series of pure advection problems with interfaces as well as to the simulation of the standard computational fluid dynamics benchmark test cases of a collapsing water column under gravitational forces (in two and three dimensions) and sloshing water in a tank. Two more test cases are undertaken in order to demonstrate the many-material and compressibility modelling capabilities of the approach. Numerical simulations are performed on coarse unstructured meshes to demonstrate the potential of the methods described here to capture complex dynamics in multiphase flows.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	John Wiley & Sons
ISSN:	0271-2091
Funders:	Engineering and Physical Sciences Research Council (EPSRC)
Date of Acceptance:	14 July 2015
Last Modified:	02 Nov 2022 10:10
URI:	https://orca.cardiff.ac.uk/id/eprint/97691

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