{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:04:45Z","timestamp":1740107085678,"version":"3.37.3"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T00:00:00Z","timestamp":1695772800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T00:00:00Z","timestamp":1695772800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CMMI1854532"],"award-info":[{"award-number":["CMMI1854532"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s00366-023-01894-9","type":"journal-article","created":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T18:02:28Z","timestamp":1695837748000},"page":"1831-1856","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Simulations of modulated plane waves using weakly compressible smoothed particle hydrodynamics"],"prefix":"10.1007","volume":"40","author":[{"given":"Samarpan","family":"Chakraborty","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kayo","family":"Ide","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3132-1937","authenticated-orcid":false,"given":"Balakumar","family":"Balachandran","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,27]]},"reference":[{"key":"1894_CR1","doi-asserted-by":"publisher","first-page":"3004","DOI":"10.1098\/rspa.2011.0049","volume":"467","author":"TAA Adcock","year":"2011","unstructured":"Adcock TAA, Taylor PH, Yan S, Ma QW, Janssen PAEM (2011) Did the Draupner wave occur in a crossing sea? Proc. R. Soc. Math. Phys. Eng. Sci. 467:3004\u20133021. https:\/\/doi.org\/10.1098\/rspa.2011.0049","journal-title":"Proc. R. Soc. Math. Phys. Eng. Sci."},{"key":"1894_CR2","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/77\/10\/105901","author":"TAA Adcock","year":"2014","unstructured":"Adcock TAA, Taylor PH (2014) The physics of anomalous (\u2018rogue\u2019) ocean waves. Rep Prog Phys. https:\/\/doi.org\/10.1088\/0034-4885\/77\/10\/105901","journal-title":"Rep. Prog. Phys."},{"key":"1894_CR3","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1016\/j.physleta.2008.12.036","volume":"373","author":"N Akhmediev","year":"2009","unstructured":"Akhmediev N, Ankiewicz A, Taki M (2009) Waves that appear from nowhere and disappear without a trace. Phys Lett A 373:675\u2013678. https:\/\/doi.org\/10.1016\/j.physleta.2008.12.036","journal-title":"Phys Lett A"},{"key":"1894_CR4","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.coastaleng.2017.06.004","volume":"127","author":"C Altomare","year":"2017","unstructured":"Altomare C, Dom\u00ednguez JM, Crespo AJC, Gonz\u00e1lez-Cao J, Suzuki T, G\u00f3mez-Gesteira M, Troch P (2017) Long-crested wave generation and absorption for SPH-based DualSPHysics model. Coast Eng 127:37\u201354. https:\/\/doi.org\/10.1016\/j.coastaleng.2017.06.004","journal-title":"Coast Eng"},{"key":"1894_CR5","doi-asserted-by":"publisher","first-page":"532","DOI":"10.1016\/j.cpc.2009.11.002","volume":"181","author":"M Antuono","year":"2010","unstructured":"Antuono M, Colagrossi A, Marrone S, Molteni D (2010) Free-surface flows solved by means of SPH schemes with numerical diffusive terms. Comput Phys Commun 181:532\u2013549. https:\/\/doi.org\/10.1016\/j.cpc.2009.11.002","journal-title":"Comput Phys Commun"},{"key":"1894_CR6","unstructured":"Barratt, M., 2016. What conditions led to the Draupner freak wave? [WWW Document]. ECMWF. URL https:\/\/www.ecmwf.int\/en\/newsletter\/148\/meteorology\/what-conditions-led-draupner-freak-wave (accessed 2.19.23)."},{"key":"1894_CR7","volume-title":"An Introduction to Fluid Dynamics","author":"CK Batchelor","year":"1967","unstructured":"Batchelor CK, Batchelor GK (1967) An Introduction to Fluid Dynamics. Cambridge University Press"},{"key":"1894_CR8","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1051\/lhb\/1951033","volume":"37","author":"F Bi\u00e9sel","year":"1951","unstructured":"Bi\u00e9sel F, Suquet F (1951) Laboratory wave generating apparatus. Houille Blanche 37:147\u2013165. https:\/\/doi.org\/10.1051\/lhb\/1951033","journal-title":"Houille Blanche"},{"key":"1894_CR9","unstructured":"Bluecrab HPC Cluster [WWW Document], n.d. UMD High Perform. Comput. URL http:\/\/hpcc.umd.edu\/\/hpcc\/bluecrab.html (Accessed 2.19.23)."},{"key":"1894_CR10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevFluids.5.034802","author":"F Bonnefoy","year":"2020","unstructured":"Bonnefoy F, Tikan A, Copie F, Suret P, Ducrozet G, Pradehusai G, Michel G, Cazaubiel A, Falcon E, El G, Randoux S (2020) From modulational instability to focusing dam breaks in water waves. Phys Rev Fluids. https:\/\/doi.org\/10.1103\/PhysRevFluids.5.034802","journal-title":"Phys Rev Fluids"},{"key":"1894_CR11","doi-asserted-by":"publisher","first-page":"2377","DOI":"10.1016\/j.physleta.2014.06.013","volume":"378","author":"C Chabalko","year":"2014","unstructured":"Chabalko C, Moitra A, Balachandran B (2014) Rogue waves: new forms enabled by GPU computing. Phys Lett A 378:2377\u20132381. https:\/\/doi.org\/10.1016\/j.physleta.2014.06.013","journal-title":"Phys Lett A"},{"key":"1894_CR12","doi-asserted-by":"publisher","DOI":"10.3390\/jmse9020233","author":"S Chakraborty","year":"2021","unstructured":"Chakraborty S, Balachandran B (2021) Wave propagation studies in numerical wave tanks with weakly compressible smoothed particle hydrodynamics. J Mar Sci Eng. https:\/\/doi.org\/10.3390\/jmse9020233","journal-title":"J Mar Sci Eng"},{"key":"1894_CR13","doi-asserted-by":"publisher","first-page":"16602","DOI":"10.1063\/1.2432303","volume":"19","author":"D Chalikov","year":"2007","unstructured":"Chalikov D (2007) Numerical simulation of the Benjamin-Feir instability and its consequences. Phys Fluids 19:16602. https:\/\/doi.org\/10.1063\/1.2432303","journal-title":"Phys Fluids"},{"key":"1894_CR14","doi-asserted-by":"publisher","first-page":"1068","DOI":"10.1111\/j.1365-2966.2012.21439.x","volume":"425","author":"W Dehnen","year":"2012","unstructured":"Dehnen W, Aly H (2012) Improving convergence in smoothed particle hydrodynamics simulations without pairing instability. Mon Not R Astron Soc 425:1068\u20131082. https:\/\/doi.org\/10.1111\/j.1365-2966.2012.21439.x","journal-title":"Mon Not R Astron Soc"},{"key":"1894_CR15","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1016\/j.cpc.2008.12.004","volume":"180","author":"M Diego","year":"2009","unstructured":"Diego M, Colagrossi A (2009) A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. Comput Phys Commun 180:861\u2013872. https:\/\/doi.org\/10.1016\/j.cpc.2008.12.004","journal-title":"Comput Phys Commun"},{"key":"1894_CR16","doi-asserted-by":"publisher","first-page":"2343","DOI":"10.1038\/s41467-022-30025-z","volume":"13","author":"D Eeltink","year":"2022","unstructured":"Eeltink D, Branger H, Luneau C, He Y, Chabchoub A, Kasparian J, van den Bremer TS, Sapsis TP (2022) Nonlinear wave evolution with data-driven breaking. Nat Commun 13:2343. https:\/\/doi.org\/10.1038\/s41467-022-30025-z","journal-title":"Nat Commun"},{"key":"1894_CR17","doi-asserted-by":"publisher","first-page":"1718","DOI":"10.1038\/s41598-022-05671-4","volume":"12","author":"J Gemmrich","year":"2022","unstructured":"Gemmrich J, Cicon L (2022) Generation mechanism and prediction of an observed extreme rogue wave. Sci Rep 12:1718. https:\/\/doi.org\/10.1038\/s41598-022-05671-4","journal-title":"Sci Rep"},{"key":"1894_CR18","doi-asserted-by":"publisher","first-page":"3557","DOI":"10.1016\/j.camwa.2012.09.006","volume":"64","author":"MA Helal","year":"2012","unstructured":"Helal MA, Seadawy AR (2012) Benjamin-Feir instability in nonlinear dispersive waves. Comput Math Appl 64:3557\u20133568. https:\/\/doi.org\/10.1016\/j.camwa.2012.09.006","journal-title":"Comput Math Appl"},{"key":"1894_CR19","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/0378-4754(95)00034-8","volume":"40","author":"VI Karpman","year":"1996","unstructured":"Karpman VI, Lynov JP, Michelsen PK, Juul Rasmussen J (1996) Modulational instability of plasma waves in two dimensions. Math Comput Simul 40:223\u2013234. https:\/\/doi.org\/10.1016\/0378-4754(95)00034-8","journal-title":"Math Comput Simul"},{"key":"1894_CR20","unstructured":"Kharif, C., Pelinovsky, E., Slunyaev, A., 2008. Rogue Waves in the Ocean. Springer Science and Business Media."},{"key":"1894_CR21","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.neucom.2017.03.092","volume":"277","author":"NK Kumar","year":"2018","unstructured":"Kumar NK, Savitha R, Al Mamun A (2018) Ocean wave height prediction using ensemble of Extreme Learning Machine. Neurocomputing, Hierarchical Extreme Learning Machines 277:12\u201320. https:\/\/doi.org\/10.1016\/j.neucom.2017.03.092","journal-title":"Neurocomputing, Hierarchical Extreme Learning Machines"},{"key":"1894_CR22","doi-asserted-by":"publisher","first-page":"1499","DOI":"10.1016\/j.jcp.2011.10.027","volume":"231","author":"SJ Lind","year":"2012","unstructured":"Lind SJ, Xu R, Stansby PK, Rogers BD (2012) Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves. J Comput Phys 231:1499\u20131523. https:\/\/doi.org\/10.1016\/j.jcp.2011.10.027","journal-title":"J Comput Phys"},{"key":"1894_CR23","doi-asserted-by":"publisher","first-page":"26","DOI":"10.3390\/jmse7020026","volume":"7","author":"M Manolidis","year":"2019","unstructured":"Manolidis M, Orzech M, Simeonov J (2019) Rogue Wave Formation in Adverse Ocean Current Gradients. J Mar Sci Eng 7:26. https:\/\/doi.org\/10.3390\/jmse7020026","journal-title":"J Mar Sci Eng"},{"key":"1894_CR24","unstructured":"MATLAB - MathWorks [WWW Document], n.d. URL https:\/\/www.mathworks.com\/products\/matlab.html (Accessed 6.14.22)."},{"key":"1894_CR25","unstructured":"Modulational Instability and Rogue Waves in Crossing Sea States in: Journal of Physical Oceanography Volume 48 Issue 6 (2018) [WWW Document], n.d. URL https:\/\/journals.ametsoc.org\/view\/journals\/phoc\/48\/6\/jpo-d-18-0006.1.xml?tab_body=fulltext-display (Accessed 3.2.21)."},{"key":"1894_CR26","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.ijnonlinmec.2016.03.011","volume":"83","author":"A Moitra","year":"2016","unstructured":"Moitra A, Chabalko C, Balachandran B (2016) Extreme wave solutions: Parametric studies and wavelet analysis. Int J Non-Linear Mech 83:39\u201347. https:\/\/doi.org\/10.1016\/j.ijnonlinmec.2016.03.011","journal-title":"Int J Non-Linear Mech"},{"key":"1894_CR27","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1146\/annurev-fluid-120710-101220","volume":"44","author":"JJ Monaghan","year":"2012","unstructured":"Monaghan JJ (2012) Smoothed particle hydrodynamics and Its diverse applications. Annu Rev Fluid Mech 44:323\u2013346. https:\/\/doi.org\/10.1146\/annurev-fluid-120710-101220","journal-title":"Annu Rev Fluid Mech"},{"key":"1894_CR28","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1146\/annurev.aa.30.090192.002551","volume":"30","author":"JJ Monaghan","year":"1992","unstructured":"Monaghan JJ (1992) Smoothed Particle Hydrodynamics. Annu Rev Astron Astrophys 30:543\u2013574. https:\/\/doi.org\/10.1146\/annurev.aa.30.090192.002551","journal-title":"Annu Rev Astron Astrophys"},{"key":"1894_CR29","unstructured":"Morlet wavelet - MATLAB morlet [WWW Document], n.d. URL https:\/\/www.mathworks.com\/help\/wavelet\/ref\/morlet.html (Accessed 6.14.22)."},{"key":"1894_CR30","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1006\/jcph.1997.5776","volume":"136","author":"JP Morris","year":"1997","unstructured":"Morris JP, Fox PJ, Zhu Y (1997) Modeling low reynolds number incompressible flows using SPH. J Comput Phys 136:214\u2013226. https:\/\/doi.org\/10.1006\/jcph.1997.5776","journal-title":"J Comput Phys"},{"key":"1894_CR31","unstructured":"NVIDIA CUDA Toolkit Release Notes [WWW Document], n.d. URL https:\/\/docs.nvidia.com\/cuda\/cuda-toolkit-release-notes\/index.html (Accessed 6.14.22)."},{"key":"1894_CR32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.014503","author":"M Onorato","year":"2006","unstructured":"Onorato M, Osborne AR, Serio M (2006) Modulational instability in crossing sea states: a possible mechanism for the formation of freak waves. Phys Rev Lett. https:\/\/doi.org\/10.1103\/PhysRevLett.96.014503","journal-title":"Phys. Rev. Lett."},{"key":"1894_CR33","doi-asserted-by":"crossref","unstructured":"Pelinovsky, E., Kharif, C., 2008. Extreme Ocean Waves. Springer Science and Business Media.","DOI":"10.1007\/978-1-4020-8314-3"},{"key":"1894_CR34","doi-asserted-by":"publisher","DOI":"10.1063\/1.4807055","author":"L Shemer","year":"2013","unstructured":"Shemer L, Alperovich L (2013) Peregrine breather revisited. Phys Fluids DOI. https:\/\/doi.org\/10.1063\/1.4807055","journal-title":"Phys. Fluids. DOI"},{"key":"1894_CR35","doi-asserted-by":"crossref","unstructured":"Wang L, Li JX, Liu, SX, Fan YP, 2020. Experimental and Numerical Studies on the Focused Waves Generated by Double Wave Groups. Front. Energy Res. 8.","DOI":"10.3389\/fenrg.2020.00133"},{"key":"1894_CR36","doi-asserted-by":"publisher","first-page":"1864","DOI":"10.1016\/j.physleta.2018.04.050","volume":"382","author":"R Wang","year":"2018","unstructured":"Wang R, Balachandran B (2018) Extreme wave formation in unidirectional sea due to stochastic wave phase dynamics. Phys Lett A 382:1864\u20131872. https:\/\/doi.org\/10.1016\/j.physleta.2018.04.050","journal-title":"Phys Lett A"},{"key":"1894_CR37","first-page":"62","volume":"34","author":"VE Zakharov","year":"1972","unstructured":"Zakharov VE, Shabat AB (1972) Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media. Sov J Exp Theor Phys 34:62","journal-title":"Sov J Exp Theor Phys"},{"key":"1894_CR38","unstructured":"Zaratan HPC Cluster, UMD High Performance Computing. http:\/\/hpcc.umd.edu\/\/hpcc\/zaratan.html. Accessed 21 Sep 2023"},{"key":"1894_CR39","doi-asserted-by":"publisher","unstructured":"Zou, Q., Chen, H., 2017. Wind and Current Effects on Extreme Wave Formation and Breaking. https:\/\/doi.org\/10.1175\/JPO-D-16-0183.1","DOI":"10.1175\/JPO-D-16-0183.1"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-023-01894-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00366-023-01894-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-023-01894-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T09:16:10Z","timestamp":1719911770000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00366-023-01894-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,27]]},"references-count":39,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["1894"],"URL":"https:\/\/doi.org\/10.1007\/s00366-023-01894-9","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"type":"print","value":"0177-0667"},{"type":"electronic","value":"1435-5663"}],"subject":[],"published":{"date-parts":[[2023,9,27]]},"assertion":[{"value":"23 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 August 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 September 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}