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**Momentum/continuity coupling with large non-isotropic momentum source terms.**
*(English)*
Zbl 1252.76063

Summary: Pressure-based methods such as the SIMPLE algorithm are frequently used to determine a coupled solution between the component momentum equations and the continuity equation. This paper presents a colocated variable pressure correction algorithm for control volumes of polyhedral/polygonal cell topologies. The correction method is presented independent of spatial approximation. The presence of non-isotropic momentum source terms is included in the proposed algorithm to ensure its applicability to multi-physics applications such as gas and particulate flows. Two classic validation test cases are included along with a newly proposed test case specific to multiphase flows. The classic validation test cases demonstrate the application of the proposed algorithm on truly arbitrary polygonal/polyhedral cell meshes. A comparison between the current algorithm and commercially available software is made to demonstrate that the proposed algorithm is competitively efficient. The newly proposed test case demonstrates the benefits of the current algorithm when applied to a multiphase flow situation. The numerical results from this case show that the proposed algorithm is more robust than other methods previously proposed.

### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

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\textit{J. D. Franklin} and \textit{J. S. Lee}, Int. J. Numer. Methods Fluids 61, No. 9, 946--969 (2009; Zbl 1252.76063)

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