A conservative and consistent implicit Cartesian cut-cell method for moving geometries with reduced spurious pressure oscillations

Xie, Zhihua ORCID: https://orcid.org/0000-0002-5180-8427, Lin, Pengzhi and Stoesser, Thorsten 2022. A conservative and consistent implicit Cartesian cut-cell method for moving geometries with reduced spurious pressure oscillations. Journal of Computational Physics 459 , 111124. 10.1016/j.jcp.2022.111124

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Abstract

A conservative and consistent three-dimensional Cartesian cut-cell method is presented for reducing the spurious pressure oscillations often observed in moving body simulations in sharp-interface Cartesian grid methods. By analysing the potential sources of the oscillation in the cut-cell framework, an improved moving body algorithm is proposed for the cut-cell method for the temporal discontinuity of the solid volume change. Strict conservation of mass and momentum for both fluid and cut cells is enforced through pressure-velocity coupling to reduce local mass conservation errors. A consistent mass and momentum flux computation is employed in the finite volume method. In contrary to the commonly cut-cell methods, an implicit time integration scheme is employed in the present method, which prevents numerical instability without any additional small cut-cell treatment. The effectiveness of the present cut-cell method for reducing spurious pressure oscillations is demonstrated by simulating various two- and three-dimensional benchmark cases (in-line and transversely oscillating cylinder, oscillating and free-falling sphere), with good agreement with previous experimental measurements and other numerical methods available in the literature.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0021-9991
Funders:	Royal Society, EPSRC
Date of First Compliant Deposit:	29 March 2022
Date of Acceptance:	2 March 2022
Last Modified:	17 May 2023 16:35
URI:	https://orca.cardiff.ac.uk/id/eprint/148627

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