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

Xie, Zhihua, 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: 29 Mar 2022 16:00
URI: https://orca.cardiff.ac.uk/id/eprint/148627

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