{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T17:20:17Z","timestamp":1776446417351,"version":"3.51.2"},"reference-count":33,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T00:00:00Z","timestamp":1707696000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Inventions"],"abstract":"<jats:p>In the present study, the added resistance, heave, and pitch of the KRISO Container Ship (KCS) in waves, at both model scale and full scale, are predicted numerically in regular head waves, for four wavelengths and three wave heights. The ISIS-CFD viscous flow solver, implemented in the Fidelity Fine Marine software provided by CADENCE, was employed for the numerical simulations. The spatial discretization was based on the finite volume method using an unstructured grid. The unsteady Reynolds-averaged Navier\u2013Stokes (RANS) equations were solved numerically, with the turbulence modeled by shear stress transport (k-\u03c9) (SST). The free-surface capturing was based on the volume-of-fluid method. The computed solutions were validated through comparisons with towing test data available in the public domain. To predict the uncertainties in the numerical solution, a systematic grid convergence study based on the Richardson extrapolation method was performed for a single wave case on three different grid resolutions. Specific attention was given to the free-surface and wake flow in the propeller plane. The purpose was to compare the numerical results from the model- and full-scale tests to examine the scale\u2019s effect on the ship\u2019s performance in regular head waves. The comparison between the model scale and full scale showed obvious differences, less accentuated for the free-surface topology and clearly observed in terms of boundary layer formation in the propeller\u2019s vicinity.<\/jats:p>","DOI":"10.3390\/inventions9010022","type":"journal-article","created":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T11:30:12Z","timestamp":1707737412000},"page":"22","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Numerical Study of a Model and Full-Scale Container Ship Sailing in Regular Head Waves"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4605-1140","authenticated-orcid":false,"given":"Andreea","family":"Mandru","sequence":"first","affiliation":[{"name":"Department of Naval Architecture, Faculty of Naval Architecture, \u201cDunarea de Jos\u201d University of Galati, Domneasca Street 111, 800201 Galati, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8179-1347","authenticated-orcid":false,"given":"Liliana","family":"Rusu","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Faculty of Engineering, \u201cDunarea de Jos\u201d University of Galati, Domneasca Street 111, 800201 Galati, Romania"}]},{"given":"Adham","family":"Bekhit","sequence":"additional","affiliation":[{"name":"Department of Naval Architecture, Faculty of Naval Architecture, \u201cDunarea de Jos\u201d University of Galati, Domneasca Street 111, 800201 Galati, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6168-3886","authenticated-orcid":false,"given":"Florin","family":"Pacuraru","sequence":"additional","affiliation":[{"name":"Department of Naval Architecture, Faculty of Naval Architecture, \u201cDunarea de Jos\u201d University of Galati, Domneasca Street 111, 800201 Galati, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Spinelli, F., Mancini, S., Vitiello, L., Bilandi, R.N., and De Carlini, M. (2022). Shipping Decarbonization: An Overview of the Different Stern Hydrodynamic Energy Saving Devices. J. Mar. Sci. Eng., 10.","DOI":"10.3390\/jmse10050574"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"110496","DOI":"10.1016\/j.oceaneng.2021.110496","article-title":"Scale effects and full-scale ship hydrodynamics: A review","volume":"245","author":"Terziev","year":"2022","journal-title":"Ocean Eng."},{"key":"ref_3","unstructured":"Larsson, L., and Raven, H.C. (2010). Principles of Naval Architecture: Ship Resistance and Flow, Publisher Society of Naval Architects and Marine Engineers."},{"key":"ref_4","first-page":"31","article-title":"Towards a CFD-based prediction of ship performance\u2014Progress in predicting full-scale resistance and scale effects","volume":"150","author":"Raven","year":"2008","journal-title":"Int. J. Marit. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"101930","DOI":"10.1016\/j.apor.2019.101930","article-title":"A geosim analysis of ship resistance decomposition and scale effects with the aid of CFD. Appl","volume":"92","author":"Terziev","year":"2019","journal-title":"Ocean Res."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"108022","DOI":"10.1016\/j.oceaneng.2020.108022","article-title":"Detailed analysis of the flow within the boundary layer and wake of a full-scale ship","volume":"218","author":"Pena","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"106435","DOI":"10.1016\/j.oceaneng.2019.106435","article-title":"Full-scale CFD simulations for the determination of ship resistance as a rational, alternative method to towing tank experiments","volume":"190","author":"Niklas","year":"2019","journal-title":"Ocean Eng."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"179","DOI":"10.5957\/jsr.2009.53.4.179","article-title":"Model and Full-Scale URANS Simulations of Athena Resistance, Powering, Seakeeping, and 5415 Maneuvering","volume":"53","author":"Bhushan","year":"2009","journal-title":"J. Ship Res."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/j.oceaneng.2015.01.011","article-title":"Full-scale unsteady RANS CFD simulations of ship behaviour and performance in head seas due to slow steaming","volume":"97","author":"Tezdogan","year":"2015","journal-title":"Ocean Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"102968","DOI":"10.1016\/j.apor.2021.102968","article-title":"Numerical study of nominal wake fields of a container ship in oblique regular waves","volume":"119","author":"Mikkelsen","year":"2022","journal-title":"Appl. Ocean Res."},{"key":"ref_11","unstructured":"Schuiling, B., Lafeber, F.H., van der Ploeg, A., and van Wijngaarden, E. (2011, January 15\u201317). The influence of the wake scale effect on the prediction of hull pressures due to cavitating propellers. Proceedings of the Second International Symposium on Marine Propulsors, Hamburg, Germany."},{"key":"ref_12","first-page":"1","article-title":"Numerical analysis of the scale effect of the nominal wake field of KCS","volume":"12","author":"Zhang","year":"2017","journal-title":"Chin. J. Ship Res."},{"key":"ref_13","first-page":"A467","article-title":"Telfer\u2019s GEOSIM method revisited by CFD","volume":"161","author":"Delen","year":"2019","journal-title":"Int. J. Marit. Eng."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"108052","DOI":"10.1016\/j.oceaneng.2020.108052","article-title":"Effective wake estimation of KCS hull at full-scale by GEOSIM method based on CFD","volume":"218","author":"Can","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_15","unstructured":"Guilmineau, E., Deng, G.B., Leroyer, A., Queutey, P., Visonneau, M., and Wackers, J. (2015, January 31). Influence of the turbulence closures for the wake prediction of a marine propeller. Proceedings of the 4th International Symposium on Marine Propulsors, Austin, TX, USA."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1598","DOI":"10.2514\/3.12149","article-title":"Two-equation eddy-viscosity turbulence models for engineering applications","volume":"32","author":"Menter","year":"1994","journal-title":"AIAA J."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1525","DOI":"10.2514\/3.8284","article-title":"A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation","volume":"17","author":"Rhie","year":"1983","journal-title":"AIAA J."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1016\/j.compfluid.2006.11.007","article-title":"An interface capturing method for free-surface hydrodynamic flows","volume":"36","author":"Queutey","year":"2007","journal-title":"Comput. Fluids"},{"key":"ref_19","unstructured":"Queutey, P., Visonneau, M., Leroyer, A., Deng, G., and Guilmineau, E. (2008, January 7\u20139). RANSE simulations of a naval combatant in head waves. Proceedings of the 11th Numerical Towing Tank Symposium, Brest, France."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1016\/S1001-6058(09)60239-0","article-title":"RANS prediction of the KVLCC2 tanker in head waves","volume":"22","author":"Deng","year":"2010","journal-title":"J. Hydrodyn."},{"key":"ref_21","unstructured":"Van, S.H., Kim, W.J., Yim, G.T., Kim, D.H., and Lee, C.J. (1998, January 25\u201327). Experimental Investigation of the Flow Characteristics Around Practical Hull Forms. Proceedings of the 3rd Osaka Colloquium on Advanced CFD Applications to Ship Flow and Hull Form Design, Osaka, Japan."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1007\/s003480100332","article-title":"Measurement of flows around modern commercial ship models","volume":"31","author":"Kim","year":"2001","journal-title":"Exp. Fluids"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Zou, L., and Larsson, L. (2013). Numerical Ship Hydrodynamics: An Assessment of the Gothenburg 2010 Workshop, Springer Business Media.","DOI":"10.1007\/978-94-007-7189-5"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/s00773-013-0219-0","article-title":"EFD and CFD for KCS heaving and pitching in regular head waves","volume":"18","author":"Simonsen","year":"2013","journal-title":"J. Mar. Sci. Technol."},{"key":"ref_25","first-page":"61","article-title":"Numerical Ship Hydrodynamics","volume":"Volume 94","author":"Hino","year":"2021","journal-title":"An Assessment of the Tokyo 2015 Workshop"},{"key":"ref_26","unstructured":"(2023, December 30). T2015 Workshop. Available online: http:\/\/www.t2015.nmri.go.jp."},{"key":"ref_27","unstructured":"ITTC (2011). Recommended Procedures and Guidelines: Practical Guidelines for Ship CFD Applications, 7.5-03 02-03, 2011, Rev. 01."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"12102","DOI":"10.1088\/1757-899X\/591\/1\/012102","article-title":"URANSE simulation for the Seakeeping of the KVLCC2 Ship Model in Short and Long Regular Head Waves","volume":"Volume 591","author":"Bekhit","year":"2019","journal-title":"Proceedings of the IOP Conference Series: Materials Science and Engineering"},{"key":"ref_29","unstructured":"ITTC (2017). Recommended Procedures and Guidelines, Uncertainty Analysis in CFD Verification and Validation Methodology and Procedures, Rev. 03."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Sun, W., Hu, Q., Hu, S., Su, J., Xu, J., Wei, J., and Huang, G. (2020). Numerical Analysis of Full-Scale Ship Self-Propulsion Performance with Direct Comparison to Statistical Sea Trail Results. J. Mar. Sci. Eng., 8.","DOI":"10.3390\/jmse8010024"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"107428","DOI":"10.1016\/j.oceaneng.2020.107428","article-title":"Scale effect on ship resistance components and form factor","volume":"209","author":"Dogrul","year":"2020","journal-title":"Ocean Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1002\/fld.1279","article-title":"Single-Phase Level Set Method for Unsteady Viscous Free Surface Flows","volume":"53","author":"Carrica","year":"2007","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"ref_33","first-page":"24","article-title":"Propulsive performance of a container ship in waves","volume":"15","author":"Nakamura","year":"1977","journal-title":"J. Soc. Nav. Archit. Jpn."}],"container-title":["Inventions"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2411-5134\/9\/1\/22\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T13:59:00Z","timestamp":1760104740000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2411-5134\/9\/1\/22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,12]]},"references-count":33,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,2]]}},"alternative-id":["inventions9010022"],"URL":"https:\/\/doi.org\/10.3390\/inventions9010022","relation":{},"ISSN":["2411-5134"],"issn-type":[{"value":"2411-5134","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2,12]]}}}