Calculation of compressible flows about complex moving geometries using a three-dimensional Cartesian cut cell method.

*(English)*Zbl 0980.76052Summary: A three-dimensional Cartesian cut cell method is described for modelling compressible flows around complex geometries, which may be either static or in relative motion. A background Cartesian mesh is generated, and any solid bodies cut out of it. Accurate representation of the geometry is achieved by employing different types of cut cell. A modified finite volume solver is used to deal with boundaries that are moving with respect to the stationary background mesh. The current flow solver is an unsplit MUSCL-Hancock method of the Godunov type, which is implemented in conjunction with a cell-merging technique to maintain numerical stability in the presence of arbitrarily small cut cells and to retain strict conservation at moving boundaries. The method is applied to some steady and unsteady compressible flows involving both static and moving bodies in three dimensions.

##### MSC:

76M12 | Finite volume methods applied to problems in fluid mechanics |

76N15 | Gas dynamics (general theory) |

##### Keywords:

Riemann-based schemes; three-dimensional Cartesian cut cell method; compressible flows; complex geometries; finite volume solver; unsplit MUSCL-Hancock method; cell-merging technique; numerical stability; moving boundaries
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\textit{G. Yang} et al., Int. J. Numer. Methods Fluids 33, No. 8, 1121--1151 (2000; Zbl 0980.76052)

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