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Keywords = projective plane of order five

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32 pages, 9547 KB  
Article
Assessment of Numerical Captive Model Tests for Underwater Vehicles: The DARPA SUB-OFF Test Case
by Vito Vasilis Zheku, Diego Villa, Benedetto Piaggio, Stefano Gaggero and Michele Viviani
J. Mar. Sci. Eng. 2023, 11(12), 2325; https://doi.org/10.3390/jmse11122325 - 8 Dec 2023
Cited by 14 | Viewed by 2611
Abstract
During the early design stage of an underwater vehicle, the correct assessment of its manoeuvrability is a crucial task. Conducting experimental tests still has high costs, especially when dealing with small vehicles characterized by low available budget. In the current investigation, virtual towing [...] Read more.
During the early design stage of an underwater vehicle, the correct assessment of its manoeuvrability is a crucial task. Conducting experimental tests still has high costs, especially when dealing with small vehicles characterized by low available budget. In the current investigation, virtual towing tank tests are simulated using the open-source OpenFOAM library in order to assess the reliability of CFD methods for the prediction of hydrodynamic forces and moments. A well-known case study, the Defence Advanced Research Projects Agency (DARPA) SUB-OFF model, is used, and the outcomes are compared to the experimental results available in the literature. Five different configurations are investigated for pure drift tests, rudder tests and pure rotation in both vertical and horizontal plane. The results show an overall good agreement with the experimental data with a quite low demanding mesh arrangement of 3M cells, a favourable balance between accuracy and computational time. In more detail, the expected error in the most significant forces during manoeuvres is less than 2% for the fully appended configuration (the submarine real operative condition), whereas the accuracy is moderately reduced for the barehull configuration (a case not representative of a real hull) with an expected error of 15%. A possible reason for the differences observed could be attributed to the description of the two streamwise vortices generated when manoeuvring. Apart from the lateral force and yaw moment, the results of the longitudinal force are also presented, having a greater disparity when compared to the experimental data. Nevertheless, the longitudinal force has no important role for the purpose of making stability and control predictions. The study contributes to the validation and consolidation of CFD methods, offering insights into their accuracy and limitations for practical applications in underwater vehicles. Full article
(This article belongs to the Special Issue CFD Applications in Ship and Offshore Hydrodynamics)
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5 pages, 882 KB  
Article
Note on Discovering Doily in PG(2,5)
by Stefano Innamorati
Mathematics 2023, 11(9), 2210; https://doi.org/10.3390/math11092210 - 8 May 2023
Cited by 1 | Viewed by 1671
Abstract
W. L. Edge proved that the internal points of a conic in PG(2,5), together with the collinear triples on the non-secant lines, form the Desargues configuration. M. Saniga showed an intimate connection between Desargues configurations and the generalized quadrangles of order 2, GQ(2,2), [...] Read more.
W. L. Edge proved that the internal points of a conic in PG(2,5), together with the collinear triples on the non-secant lines, form the Desargues configuration. M. Saniga showed an intimate connection between Desargues configurations and the generalized quadrangles of order 2, GQ(2,2), whose representation was dubbed “the doily” by Stan Payne in 1973. In this note, we prove that the external points of a conic in PG(2,5), together with the collinear and non-collinear triples on the non-tangent lines, form the generalized quadrangle of order 2. Full article
(This article belongs to the Special Issue Discrete Mathematics, Graph Theory and Applications)
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