Gotowe bibliografie tematyczne / Water waves Mathematical models

Gotowa bibliografia na temat „Water waves Mathematical models”

Autor: Grafiati
Data publikacji: 4 czerwca 2021
Data aktualizacji: 1 lutego 2022

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Artykuły w czasopismach na temat "Water waves Mathematical models"

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Shakhin, Victor M., i Tatiana V. Shakhina. "Waves on the Water Surface — Mathematical Models — Part 1". International Journal of Ocean and Climate Systems 6, nr 3 (wrzesień 2015): 113–35. http://dx.doi.org/10.1260/1759-3131.6.3.113.

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Shakhin, Victor M., i Tatiana V. Shakhina. "Waves on the Water Surface — Mathematical Models — Part 2". International Journal of Ocean and Climate Systems 6, nr 3 (wrzesień 2015): 137–57. http://dx.doi.org/10.1260/1759-3131.6.3.137.

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Seadawy, Aly R., Asghar Ali i Dianchen Lu. "Applications of modified mathematical method on some nonlinear water wave dynamical models". Modern Physics Letters A 33, nr 35 (19.11.2018): 1850204. http://dx.doi.org/10.1142/s0217732318502048.

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The extended simple equation method is applied to construct solitary wave solutions of (3 + 1)-dimensional Kadomtsev–Petviashvili-Benjamin–Bona–Mahony (KP-BBM), Korteweg–de Vries Benjamin–Bona–Mahony (KdV-BBM), Breaking soliton (BS) and (2 + 1) Maccari system waves system of equations. These models have prevalent usage in modern science. This technique can also be functional to solve different kinds of nonlinear evolution problems in contemporary areas of research. It is an effective and powerful mathematical tool in finding solitary wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics.
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Sakhnenko, O. I. "Results of calculation of wave-wind water dynamics at the Tiligul Estuary". Ukrainian hydrometeorological journal, nr 18 (29.10.2017): 140–49. http://dx.doi.org/10.31481/uhmj.18.2016.16.

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Features of spatial distribution of the main parameters of wind waves, such as height, average orbital velocities of wave motions determining transportation of bottom material were specified. Maximum heights of significant waves were obtained in the central, most deep-water part of the estuary, as well as in the southern part and near the windward shores. At the time of storm winds maximum heights of significant waves, according to the simulation results, constitute up to 0,83 m. On the basis of calculations of wind waves with application of the SWAN numerical model (Simulating Waves Nearshore) made using wind observations during 2012, regime functions of wind waves’ heights for different parts of the estuary were built. Statistical estimates of wind waves’ heights at typical points of the estuary waters were analyzed. Spatial fields of wind-wave flows in the estuary under the influence of steady winds of the southern and western directions calculated using the complex of numerical mathematical models of wind wave generation and models of wind-wave water circulation based on Reynolds equations and supplemented with com-ponents of the wave radiation stresses were specified.
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Granero-Belinchón, Rafael, i Stefano Scrobogna. "Models for Damped Water Waves". SIAM Journal on Applied Mathematics 79, nr 6 (styczeń 2019): 2530–50. http://dx.doi.org/10.1137/19m1262899.

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Li, Qinjun, Danyal Soybaş, Onur Alp Ilhan, Gurpreet Singh i Jalil Manafian. "Pure Traveling Wave Solutions for Three Nonlinear Fractional Models". Advances in Mathematical Physics 2021 (9.04.2021): 1–18. http://dx.doi.org/10.1155/2021/6680874.

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Three nonlinear fractional models, videlicet, the space-time fractional 1 + 1 Boussinesq equation, 2 + 1 -dimensional breaking soliton equations, and SRLW equation, are the important mathematical approaches to elucidate the gravitational water wave mechanics, the fractional quantum mechanics, the theoretical Huygens’ principle, the movement of turbulent flows, the ion osculate waves in plasma physics, the wave of leading fluid flow, etc. This paper is devoted to studying the dynamics of the traveling wave with fractional conformable nonlinear evaluation equations (NLEEs) arising in nonlinear wave mechanics. By utilizing the oncoming exp − Θ q -expansion technique, a series of novel exact solutions in terms of rational, periodic, and hyperbolic functions for the fractional cases are derived. These types of long-wave propagation phenomena played a dynamic role to interpret the water waves as well as mathematical physics. Here, the form of the accomplished solutions containing the hyperbolic, rational, and trigonometric functions is obtained. It is demonstrated that our proposed method is further efficient, general, succinct, powerful, and straightforward and can be asserted to install the new exact solutions of different kinds of fractional equations in engineering and nonlinear dynamics.
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Kichenassamy, Satyanad. "Existence of solitary waves for water-wave models". Nonlinearity 10, nr 1 (1.01.1997): 133–51. http://dx.doi.org/10.1088/0951-7715/10/1/009.

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Hong, Woo-Pyo. "Dynamics of Combined Solitary-waves in the General Shallow Water Wave Models". Zeitschrift für Naturforschung A 58, nr 9-10 (1.10.2003): 520–28. http://dx.doi.org/10.1515/zna-2003-9-1008.

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We find new analytic solitary-wave solutions, having a nonzero background at infinity, of the general fifth-order shallow water wave models using the hyperbolic function ansatz method. We study the dynamical properties of the solutions in the combined form of a bright and a dark solitary-wave by using numerical simulations. It is shown that the solitary-waves can be stable or marginally stable, depending on the coefficients of the model.We study the interaction dynamics by using the combined solitary-waves as the initial profiles to show the formation of sech2-type solitary-waves in the presence of a strong nonlinear dispersion term. - PACS: 03.40.Kf, 02.30.Jr, 47.20.Ky, 52.35.Mw
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Lu, Dianchen, Aly R.Seadawy i Asghar Ali. "Structure of traveling wave solutions for some nonlinear models via modified mathematical method". Open Physics 16, nr 1 (31.12.2018): 854–60. http://dx.doi.org/10.1515/phys-2018-0107.

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Abstract We have employed the exp(-φ(ξ))-expansion method to derive traveling waves solutions of breaking solition (BS), Zakharov-Kuznetsov-Burgers (ZKB), Ablowitz-Kaup-Newell-Segur (AKNS) water wave, Unstable nonlinear Schrödinger (UNLS) and Dodd-Bullough-Mikhailov (DBM) equations. These models have valuable applications in mathematical physics. The results of the constructed model, along with some graphical representations provide the basic knowlegde about these models. The derived results have various applications in applied science.
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Lara, Javier L., Inigo J. Losada, Gabriel Barajas, Maria Maza i Benedetto Di Paolo. "RECENT ADVANCES IN 3D MODELLING OF WAVE-STRUCTURE INTERACTION WITH CFD MODELS". Coastal Engineering Proceedings, nr 36 (30.12.2018): 91. http://dx.doi.org/10.9753/icce.v36.waves.91.

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Numerical modelling of the interaction of water waves with coastal structures has continuously been among the most relevant challenges in coastal engineering research and practice. During the last years, 3D modelling based on RANS-type equations, has been the dominant methodology to address the mathematical modelling of wave and coastal structure interaction. However, the three-dimensionality of many flowstructure interactions processes demands overcoming existing modelling limitations. Under some circumstances relevant three-dimensional processes are still tackled using physical modelling. It has been shown that beyond numerical implementation of the well-known mathematical 3-D formulation of the Navier-Stokes equations, the application of 3-D codes to standard coastal engineering problems demands some additional steps to be taken. These steps could be classified into three main groups relevant to: a) the modelling of the physical processes; b) the use of the tool and c) the applicability of the codes. This work presents an analysis of the use of three-dimensional flow models to analyze wave interaction with coastal structures focusing on recent developments overcoming existing limitations. Last modelling advances, including the implementation of new physics and pre-and postprocessing tools will be shown with the aim of extending the use of three-dimensional modelling of wavestructure interaction in both coastal and offshore fields.
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Rozprawy doktorskie na temat "Water waves Mathematical models"

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Marchant, Timothy Robert. "On short-crested water waves". Title page, contents and introduction only, 1988. http://web4.library.adelaide.edu.au/theses/09PH/09phm3151.pdf.

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Chan, Johnson Lap-Kay. "Numerical procedure for potential flow problems with a free surface". Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/28637.

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A numerical procedure based upon a boundary integral method for gravity wave making problems is studied in the time domain. The free-surface boundary conditions are combined and expressed in a Lagrangian notation to follow the free-surface particle's motion in time. The corresponding material derivative term is approximated by a finite difference expression, and the velocity terms are extrapolated in time for the completion of the formulations. The fluid-body intersection position at the free surface is predicted by an interpolation function that requires information from both the free surface and the submerged surface conditions. Solutions corresponding to a linear free-surface condition and to a non-linear free-surface condition are obtained at small time increment values. Numerical modelling of surface wave problems is studied in two dimensions and in three dimensions. Comparisons are made to linear analytical solutions as well as to published experimental results. Good agreement between the numerical solutions and measured values is found. For the modelling of a three dimensional wave diffraction problem, results at high wave amplitude are restricted because of the use of quadrilateral elements. The near cylinder region of the free surface is not considered to be well represented because of the coarse element size. Wave forces calculated on the vertical cylinder are found to be affected by the modelled tank length. When the simulated wave length is comparable to the wave tank's dimension, numerical results are found to be less than the experimental measurements. However, when the wave length is shorter than the tank's length, solutions are obtained with very good precision.
Applied Science, Faculty of
Mechanical Engineering, Department of
Graduate
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Pinilla, Camilo Ernesto. "Numerical simulation of shear instability in shallow shear flows". Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115697.

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The instabilities of shallow shear flows are analyzed to study exchanges processes across shear flows in inland and coastal waters, coastal and ocean currents, and winds across the thermal-and-moisture fronts. These shear flows observed in nature are driven by gravity and governed by the shallow water equations (SWE). A highly accurate, and robust, computational scheme has been developed to solve these SWE. Time integration of the SWE was carried out using the fourth-order Runge-Kutta scheme. A third-order upwind bias finite difference approximation known as QUICK (Quadratic Upstream Interpolation of Convective Kinematics) was employed for the spatial discretization. The numerical oscillations were controlled using flux limiters for Total Variation Diminishing (TVD). Direct numerical simulations (DNS) were conducted for the base flow with the TANH velocity profile, and the base flow in the form of a jet with the SECH velocity profile. The depth across the base flows was selected for the' balance of the driving forces. In the rotating flow simulation, the Coriolis force in the lateral direction was perfectly in balance with the pressure gradient across the shear flow during the simulation. The development of instabilities in the shear flows was considered for a range of convective Froude number, friction number, and Rossby number. The DNS of the SWE has produced linear results that are consistent with classical stability analyses based on the normal mode approach, and new results that had not been determined by the classical method. The formation of eddies, and the generation of shocklets subsequent to the linear instabilities were computed as part of the DNS. Without modelling the small scales, the simulation was able to produce the correct turbulent spreading rate in agreement with the experimental observations. The simulations have identified radiation damping, in addition to friction damping, as a primary factor of influence on the instability of the shear flows admissible to waves. A convective Froude number correlated the energy lost due to radiation damping. The friction number determined the energy lost due to friction. A significant fraction of available energy produced by the shear flow is lost due the radiation of waves at high convective Froude number. This radiation of gravity waves in shallow gravity-stratified shear flow, and its dependence on the convective Froude number, is shown to be analogous to the Mach-number effect in compressible flow. Furthermore, and most significantly, is the discovery from the simulation the crucial role of the radiation damping in the development of shear flows in the rotating earth. Rings and eddies were produced by the rotating-flow simulations in a range of Rossby numbers, as they were observed in the Gulf Stream of the Atlantic, Jet Stream in the atmosphere, and various fronts across currents in coastal waters.
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繆泉明 i Quanming Miao. "Effect of submerged vertical structures on ship waves". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B3025176X.

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Liu, Xia, i 刘霞. "Numerical modeling of landslide-induced waves and their effects on downstream structures". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B48199412.

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Impulse waves in reservoirs, lakes, bays and oceans may be generated by landslides. The resulting impulse waves can propagate and cause disaster to the downstream. Some studies are carried out to investigate such phenomenon but most of them were based on either experimental observations or empirical/semiempirical relationships in simulating the waves generated by landslides. Therefore, the fundamental mechanism of such hazard is not got fully understood (complex motions of landslides with arbitrary geometry and interactions of fluid with landslides or shorelines). In addition, the effects of landslide-induced waves on downstream structures are rarely reported. Therefore, it appears necessary that the coupling numerical model is developed to simulate landslide-induced waves and to investigate generated wave characteristics. Furthermore, their effects on downstream structures should be investigated for mitigating hazard, such as the estimations of wave run-up, rundown and wave overtopping. This thesis presents the numerical modeling of landslide-induced waves and their effects on the downstream structures based on the computational fluid dynamics (CFD) package FLUENT. As there is no existing module to simulate water waves, the redevelopment of FLUENT by the user defined function (UDF) is necessary. For the problem of landslide-induced wave, two simplified numerical models are developed, including piston-type model and inlet boundary-type model. These two numerical models can rapidly assess the landslide-induced waves but be appropriate for the simple cases, such as a vertical wall moving horizontally or slump-type landslide whose particle velocities and free surface displacements at the inlet boundary are known. In order to expand the available range of numerical modeling, the block models aiming for rockslide are developed to investigate landslide-induced waves. Four categories of landslides are considered, such as horizontal landslide, vertical landslide, subaerial landslide and submarine landslide. Except of horizontal landslide, the coupled block model is employed to investigate water waves generated by vertical, subaerial and submarine landslides. The coupling is based on an iterative procedure enforcing the principle of the dynamic equilibrium of the fluid, the slide and their interfaces, and the interaction between landslide and fluid are considered. The wave characteristics generated by above-mentioned different types of landslides are investigated and discussed. For their effects of landslide-induced wave on downstream structures, the focuses of numerical modeling are the run-up and rundown of waves generated by subaerial and submarine landslides and wave overtopping on the downstream structures. The detailed numerical modeling illustrates that the present models can predict fairly well landslide-induced waves and their effects on downstream structures. The results of parametric study indicate that slide volume and impact Froude number ( v / gh ) play important roles on generated wave characteristics. The wave characteristics, propagation distance and geometric characteristics of seaward structural wall (slope and crest freeboard) are major factors in determining the characteristics of wave run-up, rundown and overtopping. Several useful prediction relationships are provided.
published_or_final_version
Civil Engineering
Doctoral
Doctor of Philosophy
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Lai, Wing-chiu Derek, i 黎永釗. "The propagation of nonlinear waves in layered and stratified fluids". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B29750441.

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Nugroho, Widijanto Satyo. "Waves generated by a load moving on an ice sheet over water". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ32720.pdf.

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Poon, Chun-Kin, i 潘俊健. "Numerical simulation of coupled long wave-short wave system with a mismatch in group velocities". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B35381334.

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Boegman, Leon. "The degeneration of internal waves in lakes with sloping topography". University of Western Australia. Centre for Water Research, 2004. http://theses.library.uwa.edu.au/adt-WU2005.0043.

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[Truncated abstract] Observations are presented from Lake Biwa (Japan) and Lake Kinneret (Israel) showing the ubiquitous and often periodic nature of high-frequency internal waves in large stratified lakes. In both lakes, high-frequency wave events were observed within two distinct categories: (1) Vertical mode one solitary waves with wavelength ˜100-500 m and frequency near 103 Hz and (2) sinusoidal vertical mode one waves with wavelength ˜5-30 m and frequency just below the local maximum buoyancy frequency near 102 Hz. The sinusoidal waves were associated with shear instability and were shown to dissipate their energy sporadically within the lake interior. Conversely, the solitary waves were found to be capable of propagating to the lake perimeter where they may break upon sloping topography, each releasing ˜1% of the total basin-scale internal wave energy to the benthic boundary layer.
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Huang, Lingyan, i 黃凌燕. "Mass transport due to surface waves in a water-mud system". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B35380457.

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Książki na temat "Water waves Mathematical models"

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Lin, Pengzhi. Numerical modeling of water waves. London: Taylor & Francis, 2008.

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Lin, Pengzhi. Numerical modeling of water waves. London: Taylor & Francis, 2008.

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Numerical modeling of water waves. Wyd. 2. Boca Raton, Fla: CRC Press, 2004.

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The water waves problem: Mathematical analysis and asymptotics. Providence, Rhode Island: American Mathematical Society, 2013.

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Mandal, B. N. Water wave scattering by barriers. Southampton: WIT Press, 2000.

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Mayumi, Shōji, red. The mathematical theory of permanent progressive water-waves. Singapore: World Scientific, 2001.

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Mader, Charles L. Numerical modeling of water waves. Berkeley: University of California Press, 1988.

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Mader, Charles L. Numerical modeling of water waves. Wyd. 2. Boca Raton, FL: CRC Press, 2004.

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Leeuwen, P. J. van. Low frequency wave generation due to breaking wind waves. [Delft]: Faculty of Civil Engineering, Delft University of Technology, 1992.

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E, Long Charles. Directional characteristics of waves in shallow water. [Vicksburg, Miss: U.S. Army Engineer Waterways Experiment Station, 1991.

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Części książek na temat "Water waves Mathematical models"

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Castro, M. J., J. A. García-Rodríguez, J. M. González-Vida, J. Macías, C. Parés i M. E. Vázquez-Cendón. "Simulation of Internal Waves in the Strait of Gibraltar Using a Two-layer Shallow-water Model". W Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, 529–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55856-6_85.

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Shen, Samuel S. "Water Waves". W Nonlinear Topics in the Mathematical Sciences, 53–74. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2102-6_3.

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Feldmeier, Achim. "Shallow Water Waves". W Theoretical and Mathematical Physics, 295–366. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31022-6_8.

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Iguchi, Tatsuo. "Isobe–Kakinuma Model for Water Waves". W Mathematics for Industry, 181–91. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6062-0_13.

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Murray, James D. "Biological Waves: Single Species Models". W Mathematical Biology, 274–310. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-08539-4_11.

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Murray, James D. "Biological Waves: Single Species Models". W Mathematical Biology, 274–310. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-08542-4_11.

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Hermans, A. J. "Appendices: Mathematical Methods". W Water Waves and Ship Hydrodynamics, 155–64. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0096-3_9.

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Lannes, David. "Water waves with surface tension". W Mathematical Surveys and Monographs, 249–65. Providence, Rhode Island: American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/188/09.

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Murray, James D. "Biological Waves: Multi-species Reaction Diffusion Models". W Mathematical Biology, 311–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-08539-4_12.

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Murray, James D. "Biological Waves: Multi-Species Reaction Diffusion Models". W Mathematical Biology, 311–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-08542-4_12.

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Streszczenia konferencji na temat "Water waves Mathematical models"

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Aprahamian, M. O., S. A. Tersian, Alberto Cabada, Eduardo Liz i Juan J. Nieto. "Existence of solutions for fourth-order ODE’s in water wave models". W MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142951.

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Iijima, Kazuhiro, Akira Tatsumi i Masahiko Fujikubo. "Elasto-Plastic Beam Afloat on Water Subjected to Waves". W ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78646.

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This paper addresses development of a mathematical model which describes the behavior of an elasto-plastic beam afloat on water surface. The mathematical model is valid for predicting the collapse of a Very Large Floating Structure (VLFS) subjected to extreme wave-induced vertical bending moment. It is a follow-up of the previous work in which the collapse behavior of a VLFS is pursued by adopting a segmented beam approach. In this research, the whole VLFS is modelled with elasto-plastic beam elements. The hydrodynamic behavior is modeled by using Rankine source panel method based on time-domain potential theory. It is shown that the elasto-plastic beam approach gives almost the same result as the segmented beam approach for predicting the one-element collapse behavior. The elastoplastic beam approach is extensively used to predict the progressive collapse spread over multiple sections, which cannot be followed by the segmented beam approach.
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Kalogirou, A., i O. Bokhove. "Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys". W ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54937.

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We report on the mathematical and numerical modelling of amplified rogue waves driving a wave-energy device in a contraction. This wave-energy device consists of a floating buoy attached to an AC-induction motor and constrained to move upward only in a contraction, for which we have realised a working scale-model. A coupled Hamiltonian system is derived for the dynamics of water waves and moving wave-energy buoys. This nonlinear model consists of the classical water wave equations for the free surface deviation and velocity potential, coupled to a set of equations describing the dynamics of a wave-energy buoy. As a stepping stone, the model is solved numerically for the case of linear shallow water waves causing the motion of a simple buoy structure with V-shaped cross-sections, using a variational (dis)continuous Galerkin finite element method.
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Quadvlieg, Frans, Roberto Tonelli, Elia Palermo i Per Teigen. "Mathematical Model for Efficient Prediction of Lifeboat Sailaway Performance in Calm Water and Waves". W ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-42232.

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Free fall lifeboats have been developed for emergency evacuation from offshore installations, when conventional means of transportation cannot be applied. As a consequence, the ability of the lifeboats to perform safe drop- and sail away under all circumstances has to be demonstrated. This paper focuses on efficient and robust numerical simulation of these operations. To predict the lifeboat behavior under a large variety of stochastic conditions, such as irregular waves, in combination with wind and current, calls for many individual simulations of the sailaway performance. The present paper presents a brand new mathematical model that is able to predict the behavior of a free fall lifeboat during drop-phase, the submerged phase, the surfacing phase and the “sailing in waves” phase (combined, not gluing time traces from different predictions together). The proposed mathematical model is completely non-linear in nature and considers instantaneous submergence and attitude of the lifeboat. All forces and moments in 6 degrees of freedom are calculated instantaneously. Consequently, accelerations, velocities and displacements, are calculated based on this. The paper describes the build-up of the mathematical model. This is based on a summation of forces due to impact forces, cross flow drag forces, generated lift, centrifugal forces, buoyancy forces, propulsion (propeller and nozzle), steering forces due to steering action and resistance. Obviously, also the instantaneous added masses play an important role. This results in a mathematical model for rigid body motions in 6 degrees of freedom, which can be used for predicting the motion response during drop- and sail away. This means a validity range in very extreme weather and in calm water. The paper will show basic validation and several applications.
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Jin, Yuting, Lucas J. Yiew, Allan R. Magee i Yingying Zheng. "System-Based Modelling of KCS Manoeuvring in Calm Water, Current and Waves". W ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18625.

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Abstract Maritime autonomous surface ships (MASS) require accurate future state projection to initiate collision-avoidance manoeuvres. Forecasts of the vessels’ trajectories and motions are fundamentally based on the mathematical manoeuvring model, which is an essential component of their hydrodynamic digital twin nowadays. Using the benchmark container ship KCS as an object of study, this paper adopts a 4-DOF modular-type manoeuvring (MMG) model to predict the vessel trajectories in calm water and under the presence of steady current and regular waves. The current effects are treated as additional ship over water speed, while the wave effects are considered by superimposing the second-order mean wave drift loads to the calm water hull hydrodynamics. The wave drift loads are solved using the potential flow solver WASIM, which is based on Rankine panel method. The computed vessel trajectories and motions are compared with available literature results and show good correlation.
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Basmat, A. "Interaction of a Second-Order Solitary Wave With a Vertical Permeable Plane Breakwater". W ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51151.

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The purpose of this paper is to develop mathematical models to investigate the interaction between long non-linear water waves and dissipative/absorbing coastal structures. The diffraction of a plane second-order solitary wave at a vertical permeable plane barrier standing in front of an impermeable wall, with calculation of the second-order wave loading is investigated. An incident plane second-order solitary wave is the Laitone solution of Boussinesq equations. The analytical solution is obtained by means of a small parameter development and Fourier transformation techniques. Computational results were performed using the software MATHEMATICA version 4.0.1.0.
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Keehnel, Dawn, i Konstantin I. Matveev. "Drop Tests and Modeling of Water Entry of Air-Cavity Hull Sections". W ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23060.

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Marine vessels sailing through waves may experience very high loads during slamming events. The present study addresses a novel air-cavity hull configuration that contains air trapped between rigid side hulls and a platform. Laboratory drop tests have been conducted with two-dimensional sections imitating air-cavity hulls. The platform vertical position was the main variable parameter. Time-dependent accelerations and pressure measured at the platform center are reported. Peak values of these variables and their occurrence times are identified. The captured air pockets are found to reduce maximum slamming loads. A simplified mathematical model is applied for simulating the initial phase of the air-cavity hull water entry. The obtained results can be used for seakeeping assessment of air-cavity ships as well as validation of more sophisticated mathematical models for hull slamming.
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Pribaturin, N., S. Lezhnin, A. Sorokin, D. Arhipov, M. Bykov i D. Posusaev. "The Investigation of Shock Waves Forming by Disruption of Vessel With High-Enthalpy Coolant". W 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-30297.

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The physical and mathematical model of the shock wave formation and evolution in the outflow of a boiling coolant from a vessel filled with the high pressure water after depressurization was investigated. For mathematical description of the pressure waves formation processes the half-empirical relaxation model and the model of maximum superheating was used that is correspond to the description of the boiling processes as vaporization initiated by fluctuation nucleation. The amplitudes of the shock waves and the time dependencies of the pressure acting on the obstacles situated on different distances from the tube rupture were calculated. The influence of the initial coolant pressure and temperature, time of disruption and diameter on the intensity of shock wave were revealed by a series of calculations. It was found that the pressure on obstacle after the normal shock wave falling is dramatically increasing and then decreasing. Relative growth of amplitude of the reflection shock wave is increasing with a growth of initial temperature of the coolant in vessel.
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Taghipour, Reza, Tristan Perez i Torgeir Moan. "Time Domain Hydroelastic Analysis of a Flexible Marine Structure Using State-Space Models". W ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29272.

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This article deals with time-domain hydroelastic analysis of a marine structure. The convolution terms in the mathematical model are replaced by their alternative state-space representations whose parameters are obtained by using the realization theory. The mathematical model is validated by comparison to experimental results of a very flexible barge. Two types of time-domain simulations are performed: dynamic response of the initially inert structure to incident regular waves and transient response of the structure after it is released from a displaced condition in still water. The accuracy and the efficiency of the simulations based on the state-space model representations are compared to those that integrate the convolutions.
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de Oliveira Costa, Daniel, Joel Sena Sales Junior i Antonio Carlos Fernandes. "Oscillating Water Column Motion Inside Circular Cylindrical Structures". W ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96048.

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Abstract A non-linear mathematical model is presented for the Equation of Motion of the Water Column inside circular cylindrical structures in different cases, comparing to previous models in literature. Experimental model tests were carried out investigating the water column decay under given initial conditions, and an analysis is performed for each cycle showing the dynamic behaviour of OWC evolving in time. The results show asymmetric pattern in the time series acquired in the decay tests as a consequence of variations of the Added Length and quadratic viscous damping as the direction of the flow changes, as observed in previous studies. A general procedure is proposed to assess the unknown parameters including the quadratic damping viscous coefficients through the concept of “equivalent linear harmonic” as a linearisation of such terms, enlightening its dependence on the motion amplitude as well as the water column draft. Experimental data for the OWC response under a set of incoming regular waves is also presented, comparing the results to numerical simulation through a solver based on the estimation of the damping coefficients obtained in the decay tests.
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Raporty organizacyjne na temat "Water waves Mathematical models"

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Wei, Ge, i James T. Kirby. Simulation of Water Waves by Boussinesq Models. Fort Belvoir, VA: Defense Technical Information Center, marzec 1998. http://dx.doi.org/10.21236/ada344496.

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