Wave Motion最新文献

{"title":"Time-dependent modelling of a circular ice shelf","authors":"Rehab Aljabri ,&nbsp;Michael H. Meylan","doi":"10.1016/j.wavemoti.2025.103494","DOIUrl":"10.1016/j.wavemoti.2025.103494","url":null,"abstract":"<div><div>A mathematical model is presented to investigate the vibrations in the time domain of circular ice shelves under different boundary conditions. The system is modelled using the shallow-water equations, which reduces the problem to a sixth-order partial differential equation. It is shown that this equation is separable in cylindrical coordinates, and the solution is expanded in Bessel functions. Different boundary conditions are investigated, clamped and free circular and no-flux and no-pressure conditions. These are the standard simplified boundary conditions considered in ice shelf modelling. The modes of vibration are calculated and the time-dependent motion is simulated. Even for this idealised model, the ice shelf shows a very complex motion in the time domain.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103494"},"PeriodicalIF":2.1,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Soliton methods and the black hole balance problem","authors":"Jörg Hennig","doi":"10.1016/j.wavemoti.2025.103490","DOIUrl":"10.1016/j.wavemoti.2025.103490","url":null,"abstract":"<div><div>This article is an extended version of a presentation given at KOZWaves 2024: The 6th Australasian Conference on Wave Science, held in Dunedin, New Zealand.</div><div>Soliton methods were initially introduced to study equations such as the Korteweg–de Vries equation, which describes nonlinear water waves. Interestingly, the same methods can also be used to analyse equilibrium configurations in general relativity. An intriguing open problem is whether a relativistic <span><math><mi>n</mi></math></span>-body system can be in stationary equilibrium. Due to the nonlinear effect of spin–spin repulsion of rotating objects, and possibly considering charged bodies with additional electromagnetic repulsion, the existence of such unusual configurations remains a possibility. An important example is a (hypothetical) equilibrium configuration with <span><math><mi>n</mi></math></span> aligned black holes. By studying a linear matrix problem equivalent to the Einstein equations for axisymmetric and stationary (electro-) vacuum spacetimes, we derive the most general form of the boundary data on the symmetry axis in terms of a finite number of parameters. In the simplest case <span><math><mrow><mi>n</mi><mo>=</mo><mn>1</mn></mrow></math></span>, this leads to a constructive uniqueness proof of the Kerr (–Newman) solution. For <span><math><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow></math></span> and vacuum, we obtain non-existence of stationary two-black-hole configurations. For <span><math><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow></math></span> with electrovacuum, and for larger <span><math><mi>n</mi></math></span>, it remains an open problem whether the well-defined finite solution families contain any physically reasonable solutions, i.e. spacetimes without anomalies such as naked singularities, magnetic monopoles, and struts.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103490"},"PeriodicalIF":2.1,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Binary Darboux transformation and localized wave solutions for the extended reverse-time nonlocal nonlinear Schrödinger equation","authors":"Jiajie Wu,&nbsp;Yi Zhang,&nbsp;Xiangyun Wang,&nbsp;Jianan Wang","doi":"10.1016/j.wavemoti.2025.103491","DOIUrl":"10.1016/j.wavemoti.2025.103491","url":null,"abstract":"<div><div>This paper focuses on the exploration of diverse localized wave solutions for an extended reverse-time nonlocal nonlinear Schrödinger equation. We construct the corresponding binary Darboux transformation to derive localized wave solutions, which include solitons, breathers and rogue waves. Additionally, we analyze the interactions among these localized solitons and their dynamical properties.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103491"},"PeriodicalIF":2.1,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island","authors":"Dmitry P. Kovalev,&nbsp;Peter D. Kovalev","doi":"10.1016/j.wavemoti.2025.103492","DOIUrl":"10.1016/j.wavemoti.2025.103492","url":null,"abstract":"<div><div>An analysis of a time series of sea level oscillations with a total observation duration of about 14 years was carried out. The aim of the research was to study the possibilities of generating soliton-like waves in the form of wave packets with a soliton envelope. Bottom autonomous wave recorders models ARW-10 to ARW-14K, with one second discretization, were installed in the coastal zone of the southeastern coast of Sakhalin Island. The wave time series were subjected to bandpass filtering in the period range of 15 min to 3 h, revealing nine events in which the amplitudes of anomalous waves exceeded the background level by more than twice. For the selected events, modeling using the time-like form of the Korteweg–de Vries (KdV) equation was performed, showing that the soliton serves as the envelope for the registered wave packets. The possibility of describing such packets using breathers was considered, as each event presented a wave packet rather than a single wave, indicating modulation of the soliton envelope. A possible mechanism for the generation of soliton-like waves was considered, and a criterion for the range of propagation speeds of these waves was proposed, analogous to tsunami waves, as both are long waves. Using the speed range and distances to potential seismic sources of anomalous waves, determined from maps, intervals of seismic events from August 2008 to June 2022 with magnitudes greater than 5, corresponding to the possible arrival of anomalous waves at the coast of Sakhalin Island, were identified. From these waves, the one whose arrival time coincided with the observation time of the soliton-like wave was selected, and it was determined which earthquake could have generated the arriving wave. It was found that four events from the selected ones met the condition of soliton-like waves arriving from seismic sources at the observation point. It was shown that despite the assumptions made in choosing the criterion for the propagation speed of soliton-like waves, the interval of time during which a particular earthquake occurred was determined uniquely, and no other earthquakes fell into it. The obtained result suggests that the generation of soliton-like waves may be associated with seismic sources; however, this issue requires separate detailed studies.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103492"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Superstep wavefield propagation","authors":"Tamas Nemeth ,&nbsp;Kurt Nihei ,&nbsp;Alex Loddoch ,&nbsp;Anusha Sekar ,&nbsp;Ken Bube ,&nbsp;John Washbourne ,&nbsp;Luke Decker ,&nbsp;Sam Kaplan ,&nbsp;Chunling Wu ,&nbsp;Andrey Shabelansky ,&nbsp;Milad Bader ,&nbsp;Ovidiu Cristea ,&nbsp;Ziyi Yin","doi":"10.1016/j.wavemoti.2024.103489","DOIUrl":"10.1016/j.wavemoti.2024.103489","url":null,"abstract":"<div><div>This paper describes how to propagate wavefields for arbitrary numbers of traditional time steps in a single step, called a superstep. We show how to construct operators that accomplish this task for finite-difference time domain schemes, including temporal first-order schemes in isotropic, anisotropic and elastic media, as well as temporal second-order schemes for acoustic media. This task is achieved by implementing a computational tradeoff differing from traditional single step wavefield propagators by precomputing propagator matrices for each model location for <span><math><mi>k</mi></math></span> timesteps (a superstep) and using these propagator matrices to advance the wavefield <span><math><mi>k</mi></math></span> time steps at once. This tradeoff separates the physics of the propagator matrix computation from the computer science of wavefield propagation and allows each discipline to provide their optimal modular solutions.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103489"},"PeriodicalIF":2.1,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Riemann problem for polychromatic soliton gases: A testbed for the spectral kinetic theory","authors":"T. Congy,&nbsp;H.T. Carr,&nbsp;G. Roberti,&nbsp;G.A. El","doi":"10.1016/j.wavemoti.2024.103480","DOIUrl":"10.1016/j.wavemoti.2024.103480","url":null,"abstract":"<div><div>We use Riemann problem for soliton gas as a benchmark for a detailed numerical validation of the spectral kinetic theory for the Korteweg–de Vries (KdV) and the focusing nonlinear Schrödinger (fNLS) equations. We construct weak solutions to the kinetic equation for soliton gas describing collision of two dense “polychromatic” soliton gases composed of a finite number of “monochromatic” components, each consisting of solitons with nearly identical spectral parameters of the scattering operator in the Lax pair. The interaction between the gas components plays the key role in the emergent, large-scale hydrodynamic evolution. We then use the solutions of the spectral kinetic equation to evaluate macroscopic physical observables in KdV and fNLS soliton gases and compare them with the respective ensemble averages extracted from the “exact” soliton gas numerical solutions of the KdV and fNLS equations. To numerically synthesise dense polychromatic soliton gases we develop a new method which combines recent advances in the spectral theory of the so-called soliton condensates and the effective algorithms for the numerical realisation of <span><math><mi>n</mi></math></span>-soliton solutions with large <span><math><mi>n</mi></math></span>.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103480"},"PeriodicalIF":2.1,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Evolution of nonlinear waves with heterogeneous damping and forcing","authors":"Ben S. Humphries,&nbsp;Jack S. Keeler,&nbsp;Alberto Alberello,&nbsp;Emilian I. Părău","doi":"10.1016/j.wavemoti.2024.103482","DOIUrl":"10.1016/j.wavemoti.2024.103482","url":null,"abstract":"<div><div>Slowly modulated nonlinear-waves are ubiquitous in nature and their weakly nonlinear dynamics are described by the nonlinear Schrödinger equation (NLS) or its higher order version, i.e. Dysthe’s equation. There is no inherent dissipation mechanism in these equations, however, in many physical systems the wave evolution is affected by energy gains and losses and therefore these NLS-like equations have to be modified to include these effects. Here, we focus on the evolution of wind-forced ocean waves propagating in ice-covered waters, such as in the polar regions. The peculiar feature of this physical system is the heterogeneous, frequency-dependent, attenuation. Here, we showcase the combined effect of higher order nonlinearity and heterogeneous dissipation on the wave dynamics.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103482"},"PeriodicalIF":2.1,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Improved prediction of the front runner in roll waves produced by localized disturbance","authors":"Boyuan Yu","doi":"10.1016/j.wavemoti.2024.103484","DOIUrl":"10.1016/j.wavemoti.2024.103484","url":null,"abstract":"<div><div>The roll-wave packet produced by localized disturbance in turbulent clear water is studied in this paper. A recently proposed depth-averaged model with improved turbulence modelling and energy balance is used for numerical simulation compared with the classical shallow water equations. The leading wave of the wave packet, the front runner, increases in depth, velocity and celerity when propagating downstream. The front runner develops to a solitary bore with exceedingly large peak depth and velocity after travelling sufficiently long distance. Shallow water equations are found to significantly underestimate the peak depth and velocity of the front runner. The wavefront smoothly connects the wave peak to the steady-uniform flow with finite shock thickness, as opposed to the simple depth-and-velocity discontinuity predicted by shallow water equations. The bottom friction coefficient is remarkably reduced at the wavefront of the roll wave, especially at the front-runner wavefront, while shallow water equations cannot give such information. The bottom shear stress at the front runner is significantly increased, which explains the observed severe erosion in floods and debris flows.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103484"},"PeriodicalIF":2.1,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Singular twist waves in chromonic liquid crystals","authors":"Silvia Paparini ,&nbsp;Epifanio G. Virga","doi":"10.1016/j.wavemoti.2024.103486","DOIUrl":"10.1016/j.wavemoti.2024.103486","url":null,"abstract":"<div><div>Chromonic liquid crystals are lyotropic nematic phases whose applications span from food to drug industries. It has recently been suggested that the elastic energy density governing the equilibrium distortions of these materials may be <em>quartic</em> in the measure of <em>twist</em>. Here we show that the non-linear twist-wave equation associated with such an energy has smooth solutions that break down in a finite time, giving rise to the formation of a shock wave, under rather generic assumptions on the initial profile. The critical time at which smooth solutions become singular is estimated analytically with an accuracy that numerical calculations for a number of exemplary cases prove to be satisfactory.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103486"},"PeriodicalIF":2.1,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Acoustic wave propagation in oil wells: A comparison between semi-analytical and finite element modeling approaches","authors":"Luis Paulo Brasil de Souza ,&nbsp;Juan Andrés Santisteban Hidalgo ,&nbsp;Tiago de Magalhães Correia ,&nbsp;Isabel Giron Camerini ,&nbsp;Guilherme Rezende Bessa Ferreira ,&nbsp;Antônio de Souza Rodrigues ,&nbsp;Alan Conci Kubrusly ,&nbsp;Arthur Martins Barbosa Braga","doi":"10.1016/j.wavemoti.2024.103487","DOIUrl":"10.1016/j.wavemoti.2024.103487","url":null,"abstract":"<div><div>Acoustic logging is one of the most used techniques for inspecting the integrity of oil wells. Traditional acoustic techniques have some limitations to analyze the condition of the cement layer of wells, such as the need for removing the production tubing, which is costly and time-consuming. This increased the interest in alternative solutions that allow the assessment of cement quality in multi-string wells. Acoustic-guided waves can be employed to inspect the cement condition in a multi-string scenario, which have recently shown to be promising, mainly regarding inspection through the production tubing. This article compares semi-analytical finite elements method and finite element method to model wave propagation in multilayered cylindrical media, mimicking an oil well under the presence of defects, in order to assess the integrity of oil wells either in the multi or single string well scenarios. In addition, a thorough investigation, through the application of the two-dimensional Fourier transform, was carried out to identify which guided wave mode is most affected by the presence and the severity of common downhole defects in the cement casing. Results show that, the semi-analytical finite element method can be used to identify guided wave modes that are more sensitive to defects in the cement layer and those that do not propagate. In general, the comparisons in the frequency domain for single or dual-string cases had good agreement, showing that the most considerable variation of the wavemodes occurs at slownesses below <span><math><mrow><mn>700</mn><mspace></mspace><mi>μ</mi><mi>s</mi></mrow></math></span>/m in the frequency range from 5 to 25 kHz. The semi-analytical method had a lower computational cost and faster mode acquisition speed than the finite element method. The semi-analytical method in single-string case was up to approximately 6.5 fold faster than the finite element method and, in the most complex case, it was 1.8 fold faster than the finite element method; whereas the semi-analytical method in dual-string case, the quickest case was approximately 3.5 fold faster than the finite element method and, the most complex case was 1.2 fold faster than the finite element method. Therefore, it was proven that the use of the semi-analytical finite element method is a viable alternative for the analysis of the integrity of oil wells.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103487"},"PeriodicalIF":2.1,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}