Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 459, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2022.111124
Keywords
Cartesian cut-cell method; Moving body problem; Pressure oscillation; Complex geometries; Three-dimensional
Funding
- Engineering and Physical Sciences Research Council (EPSRC) [EP/R022135/1, EP/S016376/1, EP/V040235/1]
- Royal Society Newton Advanced Fellowship [NAF/R1/201156]
- International Exchanges Award [IES/R2/202095]
- National Natural Science Foundation of China [52031002]
- Open Fund of the State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University [SKHL1904]
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A conservative and consistent three-dimensional Cartesian cut-cell method is proposed to reduce spurious pressure oscillations in moving body simulations. The method improves the moving body algorithm and enforces strict conservation of mass and momentum through pressure-velocity coupling. A consistent mass and momentum flux computation is employed, and an implicit time integration scheme is used to prevent numerical instability.
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. (c) 2022 The Author(s). Published by Elsevier Inc.
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