Wave Motion最新文献

{"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}

{"title":"Non-collinear interaction of Rayleigh–Lamb and shear horizontal waves in a finite region in a plate","authors":"Yosuke Ishii,&nbsp;Tomoya Enoki ,&nbsp;Shiro Biwa","doi":"10.1016/j.wavemoti.2024.103488","DOIUrl":"10.1016/j.wavemoti.2024.103488","url":null,"abstract":"<div><div>Non-collinear interaction of guided elastic waves in a homogeneous and isotropic plate with quadratic material nonlinearity is analyzed theoretically to investigate the sum and difference frequency generation from a finite interaction region of primary waves. Using a perturbation approach and the time-harmonic Green function for isotropic plates, an explicit expression is derived for the displacement field of nonlinearly generated secondary waves when two primary monochromatic straight-crested Rayleigh–Lamb/shear horizontal waves intersect at an arbitrary angle in a right cylindrical region of arbitrary cross-section and height equal to the plate thickness. The resulting displacement observed far away from the interaction region in the direction of the wavevector of driving forces (i.e., the sum or difference of wavevectors of primary modes) is shown to grow in proportion to the interaction volume when the wavenumber of secondary mode coincides with that of driving forces with nonzero energy transfer from the primary to the secondary modes. The influence of the interaction volume and the intersection angle on the secondary wave field is investigated for a special case where the interaction region is a right circular cylinder. Furthermore, the non-collinear interaction generating the secondary mode with negative group velocity is also examined.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103488"},"PeriodicalIF":2.1,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168965","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":"Wave evolution within the Cubic Vortical Whitham equation","authors":"Marcelo V. Flamarion ,&nbsp;Efim Pelinovsky","doi":"10.1016/j.wavemoti.2024.103485","DOIUrl":"10.1016/j.wavemoti.2024.103485","url":null,"abstract":"<div><div>In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinearities. This equation plays important role for description of the wave processes in the presence of shear flows. We find well-formed breather-type structures arising from the evolution of depression disturbances with positive cubic nonlinearity. For elevation disturbances, the results are two-fold. When the cubic nonlinearity is negative, we show that the CV-Whitham equation and the Gardner equation are qualitatively similar, differing only by a small phase lag due to differences in the dispersion term. However, with positive cubic nonlinearity, the differences between the solutions become more pronounced, with the CV-Whitham equation producing sharper waves that suggest the onset of wave breaking.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103485"},"PeriodicalIF":2.1,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168959","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":"Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media","authors":"P.A. Martin ,&nbsp;V.J. Pinfield","doi":"10.1016/j.wavemoti.2024.103478","DOIUrl":"10.1016/j.wavemoti.2024.103478","url":null,"abstract":"<div><div>We derive expressions for the effective wavenumbers in a three-dimensional elastic medium with a low number density of embedded identical scatterers of arbitrary shape and random orientation. We adopt a classical approach addressing the half-space problem using standard vector spherical wavefunctions and their associated addition theorems. Both quasi-longitudinal and quasi-shear effective wavenumbers are obtained at first and second order in concentration by ensemble-averaging under the assumption of hard-sphere non-interacting scatterers, together with the quasi-crystalline approximation. We assume that the scatterer orientations are independent of each other and independent of position, and demonstrate that the ensemble averaging can be achieved by first taking an orientational average of the single-scatterer <span><math><mi>T</mi></math></span>-matrix before taking the positional average. The expressions for effective wavenumbers indicate the contributions of mode conversion (longitudinal to shear and vice versa) at second order in concentration.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103478"},"PeriodicalIF":2.1,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168961","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":"Kelvin’s method of stationary phase?","authors":"P.A. Martin","doi":"10.1016/j.wavemoti.2024.103481","DOIUrl":"10.1016/j.wavemoti.2024.103481","url":null,"abstract":"<div><div>The method of stationary phase is a standard technique for estimating the value of an oscillatory integral when a certain parameter in the integrand becomes large. The basic method was sketched in 1887 by Sir William Thomson (before he became Lord Kelvin) in a short paper, and applied by him to problems in the theory of linear water waves. The contents, context and consequences of his paper are discussed. Inevitably, earlier authors (such as Stokes and Riemann) could stake claims on the method, but we leave it to the reader to decide, based on the evidence presented.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103481"},"PeriodicalIF":2.1,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168960","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":"Propagation failure for traveling fronts of the Nagumo equation on a lattice","authors":"José Fernando Bustamante-Castañeda ,&nbsp;Gustavo Cruz-Pacheco","doi":"10.1016/j.wavemoti.2024.103483","DOIUrl":"10.1016/j.wavemoti.2024.103483","url":null,"abstract":"<div><div>In this work, we study the phenomenon of propagation failure for fronts in a bistable reaction–diffusion equation on a lattice in one and two dimensions. Using asymptotic methods and modulation theory, we approximate the anchoring region in the parameter space defined by the coupling coefficient and the bistability parameter. For the one-dimensional case, modulation theory yields a periodic, time-dependent velocity of the wavefront, governed by a Peierls–Nabarro potential. We provide a simple explanation for a numerical observation made in previous work by Mallet-Paret, Hoffman and Mallet-Paret (2010), regarding the fact that a stationary vertical wavefront begins to advance when its direction is perturbed. We also present numerical evidence demonstrating the accuracy of our approximations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103483"},"PeriodicalIF":2.1,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169423","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":"All first- and second-order (2+1)-dimensional nonlinear wave equations derived from the Euler equations for an ideal fluid model and their traveling wave solutions","authors":"Piotr Rozmej ,&nbsp;Anna Karczewska","doi":"10.1016/j.wavemoti.2024.103477","DOIUrl":"10.1016/j.wavemoti.2024.103477","url":null,"abstract":"<div><div>We review the (2+1)-dimensional nonlinear wave equations we recently derived from the ideal fluid model. These are extensions of the KdV, fifth-order KdV, Gardner, extended KdV and extended KP equations into two spatial dimensions. We discuss analytical solutions to these equations in the form of traveling waves. All these solutions, soliton, cnoidal, and superposition ones, are analogous to solutions of the corresponding (1+1)-dimensional equations. The complete (2+1)-dimensional fifth-order KdV equation, (2+1)-dimensional Gardner equation, and their soliton solutions are derived here for the first time.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103477"},"PeriodicalIF":2.1,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168963","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}