main.tex (5571B)
1 % !TeX spellcheck = en_US 2 \documentclass[8pt]{extarticle} 3 \usepackage[utf8]{inputenc} 4 \usepackage[T1]{fontenc} 5 \usepackage{lmodern} 6 \usepackage{hyperref} 7 \usepackage[pdftex]{graphicx} 8 \usepackage{mmcpauth} 9 10 % START of users changes 11 12 \mmcpDate{\today} % date on which was created agreement 13 14 % \mmcpTitle{Name of abstract} 15 \mmcpTitle{Computational model of unsteady hydromechanics~of~large-amplitude Gerstner waves} 16 17 % \mmcpAuthor{institute number. If multiple, delimited by comma}{Authors name} 18 \mmcpAuthor{1}{Alexander Degtyarev} 19 \mmcpAuthor{1}{Ivan Gankevich}{} 20 \mmcpAuthor{1}{Nataliia Kulabukhova}{} 21 \mmcpAuthor{1,2}{Vasily Khramushin}{} 22 23 % \mmcpAffil{Institute number (exactly one!)}{Institute name and address} 24 \mmcpAffil{1}{Saint Petersburg State University, Russia} 25 \mmcpAffil{2}{Scientific Society of Shipbuilders named after Alexey Krylov, Russia} 26 27 % Full text of abstract. If you use some graphics, don't forget to send it together with abstract. 28 \mmcpAbstract{% 29 30 Numerical experiments in ship hydromechanics involve non-stationary interaction 31 of a ship hull and wavy surface that include formation of vortices, surfaces of 32 jet discontinuities, and discontinuities in fluid under influence of negative 33 pressure. These physical phenomena occur not only near ship hull, but also at 34 a distance where waves break as a result of interference of sea waves and waves 35 reflected from the hull. 36 37 In the study reported here we simulate wave breaking and reflection near the 38 ship hull. We use explicit numerical schemes to simulate propagation of 39 large-amplitude sea waves and their transformation after the impact with a 40 ship. The problem reduces to determining wave kinematics on a moving boundary 41 of a ship hull and a free boundary of a computational domain. We build a grid 42 of large particles having a form of a parallelepiped, and in wave equation in 43 place of velocity field we integrate streams of fluid represented by functions 44 as smooth as wavy surface elevation field. We assume that within boundaries of 45 computational domain waves do not disperse, i.e.~their length and period stays 46 the same. Under this assumption we simulate trochoidal Gerstner 47 waves~\mcite{gerstner} of a particular period. Wavy surface boundary have to 48 satisfy Bernoulli equation: pressure on the surface of the wave becomes 49 non-constant, fluid particles drift in the upper layers of a fluid in the 50 direction of wave propagation~\mcite{shuleikin}, and vortices form as a result. 51 The drift is simulated by changing curvatures of particles trajectories based 52 on the instantaneous change of wavy surface elevation. 53 54 This approach allows to simulate wave breaking and reflection near ship hull. 55 The goal of the research is to develop a new method of taking wave reflection 56 into account in ship motion simulations as an alternative to the classic method 57 that uses added masses. 58 59 } 60 61 % Acknowledgement. Leave parameter empty if nothing should be acknowledged, i.e., \mmcpAcknowledgement{} 62 \mmcpAcknowledgement{Research work is supported by Saint Petersburg State 63 University (grant no.~26520170 and~39417213).} 64 65 \mmcpLiterature{% 66 \begin{thebibliography}{2}\footnotesize 67 \mbibitem{gerstner}F.~J.~Gerstner, Theorie der Wellen samt einer daraus 68 abgeleiteten Theorie der Deichprofile, Prag (1804). 69 \mbibitem{shuleikin}V.~V.~Shuleikin, Physics of the sea, Moscow, Science (1968). 70 \end{thebibliography} 71 } 72 73 % END of users changes 74 75 % Don't edit anything beyond this line without discussion with organizers. 76 \begin{document} 77 \thispagestyle{empty} 78 79 { 80 \begin{center} 81 \Large 82 Conference Mathematical Modeling and Computational Physics \\[1ex] 83 July 1--5, 2019 \\[5mm] 84 85 \huge Abstract License Agreement 86 \end{center} 87 88 \bigskip 89 90 \noindent 91 In submitting this abstract to the MMCP2019 conference, I certify the Conference Organizers that: 92 93 \begin{enumerate} 94 \item I am authorized by my co-authors to enter into these arrangements. 95 \item I warrant, on behalf of myself and my co-authors, that: 96 \begin{itemize} 97 \item the document is original, has not been formally published in any other journal, is not under consideration by any other journal and does not infringe any existing copyright or any other third party rights; 98 \item I am/we are the sole author(s) of the abstract and have full authority to enter into this agreement and in granting rights to the Conference Organizers that are not in breach of any other obligation; 99 \item the document contains nothing that is unlawful, libelous, or which would, if published, constitute a breach of contract or of confidence or of commitment given to secrecy; 100 \item I/we have taken due care to ensure the integrity of the abstract. To my/our -- and currently accepted scientific -- knowledge all statements contained in it purporting to be facts are true and any formula or instruction contained in the abstract will not, if followed accurately, cause any injury, illness or damage to the user. 101 \end{itemize} 102 \item I agree to the Creative Commons Attribution License (\url{https://creativecommons.org/licenses/by/4.0/}) 103 \item \textbf{I agree that the title of the abstract together with the names and the affiliations of the author(s) be published on the webpage of the conference MMCP2019 and in the MMCP2019 Book of Abstracts.} 104 \end{enumerate} 105 106 \medskip 107 108 Title of the conference: 109 110 \textbf{Mathematical Modeling and Computational Physics, 2019} 111 112 \medskip 113 114 Title of the document: 115 116 \textbf{\laTitle} 117 118 \medskip 119 120 Author(s): 121 122 \textbf{\laauthors} 123 124 \bigskip 125 126 \bigskip 127 128 Date: \printMMCPDate 129 130 \bigskip 131 132 \bigskip 133 134 Author's signature: 135 } 136 137 \newpage 138 139 \printAbstract 140 \end{document}