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An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries

Xie, Zhihua ORCID: 2022. An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries. Computer Methods in Applied Mechanics and Engineering 399 , 115449. 10.1016/j.cma.2022.115449

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A versatile conservative three-dimensional Cartesian cut-cell method for simulation of incompressible viscous flows over complex geometries is presented in this paper. The present method is based on the finite volume method on a non-uniform staggered grid together with a consistent mass and momentum flux computation. Contrary to the commonly cut-cell methods, an implicit time integration scheme is employed in the present method, which avoids numerical instability without any additional small cut-cell treatment. Strict conservation of the mass and momentum for both fluid and cut cells is enforced through the PISO algorithm for the pressure–velocity coupling. The versatility and robustness of the present cut-cell method are demonstrated by simulating various two- and three-dimensional canonical benchmarks (flow over a circular cylinder, airfoil, sphere, pipe, and heart sculpture) and the computed results agree well with previous experimental measurements and various numerical results obtained from the boundary-fitted, immersed boundary/interface, and other cut-cell methods, verifying the accuracy of the proposed method.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Additional Information: This is an open access article under the CC BY license (http://creativecommons. org/licenses/by/4.0/).
Publisher: Elsevier
ISSN: 0045-7825
Funders: EPSRC
Date of First Compliant Deposit: 11 August 2022
Date of Acceptance: 19 July 2022
Last Modified: 06 Jun 2023 17:16

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