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Relevant bibliographies by topics / Burgers equation; Finite amplitude waves

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Journal articles
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Conference papers

Academic literature on the topic 'Burgers equation; Finite amplitude waves'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Burgers equation; Finite amplitude waves"

1

Yang, Hongwei, Baoshu Yin, Yunlong Shi, and Qingbiao Wang. "Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids." Journal of Applied Mathematics 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/491343.

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The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is first derived and shown to reduce to the KdV- (Korteweg-de Vries-) Burgers equation in shallow fluids and BO- (Benjamin-Ono-) Burgers equation in deep fluids. By analysis and calculation, the perturbation solution and some conservation relations of the ILW-Burgers equation are obtained. Finally, with the help of pseudospectral method, the numer

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2

Lammers, J. H., and A. Biesheuvel. "Concentration waves and the instability of bubbly flows." Journal of Fluid Mechanics 328 (December 10, 1996): 67–93. http://dx.doi.org/10.1017/s0022112096008658.

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This paper examines whether G. K. Batchelor's (1988) theory of the propagation of planar concentration disturbances and the occurrence of instabilities in uniform fluidized beds can be applied to bubbly flows. According to this theory the propagation of long weakly nonlinear gas volume concentration waves is governed by the Burgers equation. Experiments on the propagation of weak concentration shock waves and small, but finite, amplitude periodic waves are presented; good agreement is found with classic solutions of Burgers’ equation. For example, the phenomenon of amplitude saturation, famili

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3

CHAKRABORTY, DEBALINA, and K. P. DAS. "Evolution of nonlinear magnetosonic waves propagating obliquely to an external magnetic field in a collisionless plasma." Journal of Plasma Physics 64, no. 3 (2000): 211–26. http://dx.doi.org/10.1017/s0022377800008618.

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It is shown that the asymptotic evolution of finite-amplitude magnetosonic waves propagating obliquely to an external uniform magnetic field in a warm homogeneous plasma is governed by a Kadomtsev–Petviashvili equation having an extra dispersive term. The dispersion is provided by finite-Larmor-radius (FLR) effects in the momentum equation and by the Hall-current and electron-pressure corrections in the generalized Ohm's law. A double-layer-type solution of the equation is obtained, and the equation is shown to reduce to a KdV–Burgers equation under certain assumptions.

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4

Chandra, Swarniv, Chinmay Das, and Jit Sarkar. "Evolution of nonlinear stationary formations in a quantum plasma at finite temperature." Zeitschrift für Naturforschung A 76, no. 4 (2021): 329–47. http://dx.doi.org/10.1515/zna-2020-0328.

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Abstract In this paper we have studied the gradual evolution of stationary formations in electron acoustic waves at a finite temperature quantum plasma. We have made use of Quantum hydrodynamics model equations and obtained the KdV-Burgers equation. From here we showed how the amplitude modulated solitons evolve from double layer structures through shock fronts and ultimately converging into solitary structures. We have studied the various parametric influences on such stationary structure and also showed how the gradual variations of these parameter affect the transition from one form to anot

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Hall, Philip. "A phase-equation approach to boundary–layer instability theory: Tollmien-Schlichting waves." Journal of Fluid Mechanics 304 (December 10, 1995): 185–212. http://dx.doi.org/10.1017/s0022112095004393.

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Our concern is with the evolution of large-amplitude Tollmien-Schlichting waves in boundary-layer flows. In fact, the disturbances we consider are of a comparable size to the unperturbed state. We shall describe two-dimensional disturbances which are locally periodic in time and space. This is achieved using a phase equation approach of the type discussed by Howard & Kopell (1977) in the context of reaction-diffusion equations. We shall consider both large and O(1) Reynolds number flows though, in order to keep our asymptotics respectable, our finite-Reynolds-number calculation will be car

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Hafez, M. G., M. R. Talukder, and M. Hossain Ali. "Two-Dimensional Nonlinear Propagation of Ion Acoustic Waves through KPB and KP Equations in Weakly Relativistic Plasmas." Advances in Mathematical Physics 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/9352148.

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Two-dimensional three-component plasma system consisting of nonextensive electrons, positrons, and relativistic thermal ions is considered. The well-known Kadomtsev-Petviashvili-Burgers and Kadomtsev-Petviashvili equations are derived to study the basic characteristics of small but finite amplitude ion acoustic waves of the plasmas by using the reductive perturbation method. The influences of positron concentration, electron-positron and ion-electron temperature ratios, strength of electron and positrons nonextensivity, and relativistic streaming factor on the propagation of ion acoustic waves

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Pedersen, Geir. "Nonlinear modulations of solitary waves." Journal of Fluid Mechanics 267 (May 25, 1994): 83–108. http://dx.doi.org/10.1017/s0022112094001126.

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The leading optical approximation to a slowly varying solitary crest on constant depth is the plane soliton solution with the local values of amplitude and orientation substituted. This leads to two nonlinear hyperbolic equations for the local amplitude and inclination of the crest that have been reported by several authors and predict the formation of progressive wave jumps, or shocks, from any initial perturbation of the crest. In comparison to numerical solutions of the Boussinesq equations we find that this optical approximation fails to reproduce essential properties of the crest dynamics

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8

Dev, Apul N., Jnanjyoti Sarma, and Manoj K. Deka. "Dust acoustic shock waves in arbitrarily charged dusty plasma with low and high temperature non-thermal ions." Canadian Journal of Physics 93, no. 10 (2015): 1030–38. http://dx.doi.org/10.1139/cjp-2014-0391.

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Using the well-known reductive perturbation technique, the three-dimensional (3D) Burgers equation and modified 3D Burgers equation have been derived for a plasma system comprising of non-thermal ions, Maxwellian electrons, and negatively charged fluctuating dust particles. The salient features of nonlinear propagation of shock waves in such plasmas have been investigated in detail. The different temperature non-thermal ions and Maxwellian electrons are found to play an important role in the shock waves solution. The analytical solution of the 3D Burgers equation and modified 3D Burgers equati

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Yin, Xiaojun, Liangui Yang, and Quansheng Liu. "The evolution equation of non-linear waves and its exact solutions by subsidiary ordinary differential equation method." Modern Physics Letters B 34, no. 34 (2020): 2050390. http://dx.doi.org/10.1142/s021798492050390x.

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In this work, we investigate the dynamics of the equatorial Rossby waves by including the complete Coriolis force, external source and dissipation. The amplitude evolution of equatorial Rossby waves is described as an extended non-linear mKdV–Burgers equation from a potential vorticity equation and it is unlike the standard mKdV–Burgers equation. Built on the obtained model, the corresponding physical phenomena related to the non-linear Rossby waves are analyzed. Also, the subsidiary ordinary differential equation method is employed to solve the solitary solution of the mKdV equation. By analy

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Zhou, Yuqian, and Qian Liu. "Kink Waves and Their Evolution of the RLW-Burgers Equation." Abstract and Applied Analysis 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/109235.

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This paper considers the bounded travelling waves of the RLW-Burgers equation. We prove that there only exist two types of bounded travelling waves, the monotone kink waves and the oscillatory kink waves. For the oscillatory kink wave, the regularity of its maximum oscillation amplitude changing with parameters is discussed. Exact expressions of the monotone kink waves and approximate expressions of the oscillatory ones are obtained in some special cases. Furthermore, all bounded travelling waves of the RLW-Burgers equation under different parameter conditions are identified and the evolution

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Dissertations / Theses on the topic "Burgers equation; Finite amplitude waves"

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Punekar, Jyothika Narasimha. "Numerical simulation of nonlinear random noise." Thesis, University of Southampton, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243151.

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Conference papers on the topic "Burgers equation; Finite amplitude waves"

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Kamei, Takafumi, and Tetsuya Kanagawa. "Two Types of Nonlinear Pressure Waves in Bubbly Liquids Incorporating Viscosity and Thermal Conductivity." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-4663.

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Abstract The present study theoretically elucidates an effect of the viscosity and the thermal conductivity on the propagation process of finite amplitude disturbance in bubbly liquids by deriving two types of weakly nonlinear wave equations. Appropriate choices of a set of scaling relations of physical parameters characterizing waves, that is, the wavelength, incident wave frequency, propagation speed, yield the derivation systematically. From the combination of appropriate scaling relations and the method of multiple scales, we can derive the Korteweg–de Vries–Burgers equation for the low fr

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Poguluri, Sunny Kumar, Krishnankutty Parameswaran, and Vendhan Chiruvai Pattu. "A Study of Adams-Bashforth Method in the Finite Element Based Model for Nonlinear Water Waves." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66006.

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The problem of nonlinear water waves, which is of great practical importance in ocean engineering, has been studied vigorously for over three decades by adopting a Mixed Eulerian-Lagrangian (MEL) formulation that employs the fully nonlinear potential flow theory (FNPT). In this approach, the free surface equations in the Lagrangian frame are solved using a time marching procedure and the Laplace equation in the fluid domain is solved in the Eulerian frame. While the boundary integral/element method for solving the Laplace equation has been studied for over 4 decades, the finite element (FE) me

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3

Liu, Yong-Tao, Ning Ma, and Xie-Chong Gu. "Numerical Simulation of Large Amplitude Sloshing in FPSO Tanks Under Irregular Excitations Based on Youngs VOF Method." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20283.

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Recently, with the increasing demand for oil and natural gas in the sea promoted, large FPSOs (Floating Production, Storage and Offloading System) win people’s popularity. Large FPSOs with liquid tanks of large volume may suffer from random waves at real seas frequently, and this results in 6-DOF motions, such as roll and sway. Due to the excitations from irregular 6-DOF motions, liquid sloshing in tanks shows complicated behaviors. In severe sea states, violent sloshing yields great impact load to tank structure, even cause damage of tank structure. Since it is important to evaluate safety pe

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Guo, Lixiang, Peng Wei, Zhiguo Zhang, Yue Sun, and Jiawei Yu. "Numerical Simulation of Surface Ship Motion in Regular Head Waves." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77327.

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The motion of surface ship in wave environments is fully three-dimensional unsteady motion and includes complex coupling with hydrodynamic force and dynamic motion of the rigid body. This paper presents simulations of the KCS model with motions involve pitch and heave in regular head waves. Computations were performed with an in-house viscous CFD code to solve RANS equation coupled with six degrees of freedom (6DOF) solid body motion equations and dynamic overset grids designed for ship hydrodynamics. RANS equations are solved by finite difference method and PISO arithmetic. Level-set method i

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5

Carobino, Evandro Souto, Renato Pavanello, Rodrigo Batista Tommasini, Debora Junqueira Fonseca, and Leonardo de Oliveira Carvalho. "A Non Linear Finite Element Model to Analyse the Dynamics of Subsea Lifting Operation Using Synthetic Cables." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18225.

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Abstract In the context of subsea lifting many equipment and strategies are employed in order to avoid dynamic instabilities and complex mechanical behaviors during the installation procedures. One of those strategies is the use of synthetic cables to reduce the total sustained weight on the crane and to shift the resonance frequency of the system, leading to reductions of fails risks. This work presents a numerical model intended to predict the dynamic behavior of a cable-equipment system under the influence of the sea waves. The cable is discretized in a finite element mesh which accounts fo

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6

Usha, R., and I. Mohammed Rizwan Sadiq. "Weakly Nonlinear Stability Analysis of a Non-Uniformly Heated Non-Newtonian Falling Film." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37201.

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A thin liquid layer of a non-Newtonian film falling down an inclined plane that is subjected to non-uniform heating has been considered. The temperature of the inclined plane is assumed to be linearly distributed and the case when the temperature gradient is positive or negative is investigated. The film flow is influenced by gravity, mean surface-tension and thermocapillary force acting along the free surface. The coupling of thermocapillary instability and surface-wave instabilities is studied for two-dimensional disturbances. A non-linear evolution equation is derived by applying the long-w

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7

Thorsen, Mats J., and Svein Sævik. "Simulating Riser VIV in Current and Waves Using an Empirical Time Domain Model." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61217.

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The theoretical background of an empirical model for time domain simulation of VIV is reviewed. This model allows the surrounding flow to be time varying, which is in contrast to the traditional frequency domain tools. The hydrodynamic load model consists of Morison’s equation plus an additional term representing the oscillating effect of vortex shedding. The magnitude of the vortex shedding force is given by a dimensionless coefficient, and this force is assumed to act perpendicular to the relative velocity between the cylinder and the fluid. The time variability of the vortex shedding force

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8

Iwanowski, Bogdan, So̸ren Astrup, Marc Lefranc, and Rolf Hansson. "Identification of Ringing Events for a Slender Tubular Marine Structure." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49511.

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Marine structures can experience loads coming from steep, non-linear waves. A transient response of the structure can be amplified in some circumstances due to phenomenon known as “ringing”. Exact conditions of the ringing response excitation are not well known and various definitions of what constitutes a ringing event appear in bibliography. This article aims at identification of ringing events for a slender marine structure subjected to the second order nonlinear irregular waves. Loads on the structure are calculated from Morison equation with extensions known as Rainey’s slender body theor

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9

Wang, Xinxin, Fenfang Zhao, Yanli Tang, Liuyi Huang, Rong Wan, and Hui Cheng. "Numerical Analysis of Submersible Mussel Raft for Exposed Marine Environment." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61682.

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To study the hydrodynamic characteristics of the submersible mussel raft in waves and currents, the numerical model of the submersible raft was established based on the finite element method and kinematics theory. The finite element program Aqua-FE™ was applied to simulate the impacts of waves and currents on the hydrodynamic responses of the surface and submerged rafts, respectively. Morison Equation was applied to compute the tension of the mooring lines. Apart from the wave condition, the flow has a significant effect on the mooring line tension of the submersible raft. The submerged raft i

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10

Li, Mingxin, Zhi-Ming Yuan, and Ronald W. Yeung. "Unsteady Wave-Making Resistance of an Accelerating Ship." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19350.

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Abstract To measure the resistance of a ship in a towing tank, the target speed of the ship model is achieved by towing the model from the rest at a given acceleration imposed by the carriage. The fluctuations in resistance are generated because of the impulse effects during rapid acceleration. Such acceleration effects in deep water have been studied by previous works [1–3]. In shallow water, the unsteady effects are expected to be stronger, making the fluctuating resistance persisting longer. In order to predict the unsteady waves and to estimate the unsteady oscillating components in the wa

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