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Journal articles on the topic 'Méthode Wave Finite Element'

Author: Grafiati

Published: 7 July 2024

Last updated: 7 July 2024

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1

Ahmad, Zair Asrar Bin, Juan Miguel Vivar Perez, Christian Willberg, and Ulrich Gabbert. "Lamb wave propagation using Wave Finite Element Method." PAMM 9, no. 1 (December 2009): 509–10. http://dx.doi.org/10.1002/pamm.200910227.

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2

Huang, Min‐Chih. "Finite/infinite element analysis of wave diffraction." Journal of the Chinese Institute of Engineers 8, no. 1 (January 1985): 1–6. http://dx.doi.org/10.1080/02533839.1985.9676798.

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3

Qin, Jianmin, Bing Chen, and Lin Lu. "Finite Element Based Viscous Numerical Wave Flume." Advances in Mechanical Engineering 5 (January 2013): 308436. http://dx.doi.org/10.1155/2013/308436.

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4

KAWAHARA, M., and J. Y. CHENG. "FINITE ELEMENT METHOD FOR BOUSSINESQ WAVE ANALYSIS." International Journal of Computational Fluid Dynamics 2, no. 1 (January 1994): 1–17. http://dx.doi.org/10.1080/10618569408904481.

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5

Sengupta, T. K., S. B. Talla, and S. C. Pradhan. "Galerkin finite element methods for wave problems." Sadhana 30, no. 5 (October 2005): 611–23. http://dx.doi.org/10.1007/bf02703510.

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6

Huang, Min‐Chih, John W. Leonard, and Robert T. Hudspeth. "Wave Interference Effects by Finite Element Method." Journal of Waterway, Port, Coastal, and Ocean Engineering 111, no. 1 (January 1985): 1–17. http://dx.doi.org/10.1061/(asce)0733-950x(1985)111:1(1).

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7

Kawakami, Ichiro, Masamitsu Aizawa, Katsumi Harada, and Hiroyuki Saito. "Finite Element Method for Nonlinear Wave Propagation." Journal of the Physical Society of Japan 54, no. 2 (February 15, 1985): 544–54. http://dx.doi.org/10.1143/jpsj.54.544.

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8

DI, Qing-Yun, and Miao-Yue WANG. "2d Finite Element Modeling for Radar Wave." Chinese Journal of Geophysics 43, no. 1 (January 2000): 109–16. http://dx.doi.org/10.1002/cjg2.14.

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9

De Rosa, S., and G. Pezzullo. "One-dimensional wave equation: Finite element eigenanalysis." Journal of Sound and Vibration 150, no. 2 (October 1991): 335–37. http://dx.doi.org/10.1016/0022-460x(91)90626-u.

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10

Serón, F. J., F. J. Sanz, M. Kindelán, and J. I. Badal. "Finite-element method for elastic wave propagation." Communications in Applied Numerical Methods 6, no. 5 (July 1990): 359–68. http://dx.doi.org/10.1002/cnm.1630060505.

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11

Shim, Sang Oh, Tae Hwa Jung, Sang Chul Kim, and Ki Chan Kim. "Finite Element Model for Laplace Equation." Applied Mechanics and Materials 267 (December 2012): 9–12. http://dx.doi.org/10.4028/www.scientific.net/amm.267.9.

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The mild-slope equation has widely been used for calculation of shallow water wave transformation. Recently, its extended version was introduced, which is capable of modeling wave transformation on rapidly varying topography. These equations were derived by integrating the Laplace equation vertically. Here, we develop a finite element model to solve the Laplace equation directly while keeping the same computational efficiency as the mild-slope equation. This model assumes the vertical variation of the wave potential as a cosine hyperbolic function as done in the derivation of the mild-slope equation, and the Galerkin method is used to discretize it. The computational domain is discretized with proper finite elements, while the radiation condition at infinity is treated by introducing the concept of an infinite element. The upper boundary condition can be either free surface or a solid structure. The applicability of the developed model is verified through example analyses of two-dimensional wave reflection and transmission. Analysis is also made for the case where a solid structure is floated near the still water level.

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12

Tao, Xingming, Lihua Fang, Luchao Lin, Ruirui Du, and Yinyu Song. "Simulation of Optical Coherence Elastography in Agar Based on Finite Element Analysis." E3S Web of Conferences 271 (2021): 04025. http://dx.doi.org/10.1051/e3sconf/202127104025.

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The finite element method is used to simulate the optical coherent elastic imaging in Agar. The shear wave velocity in Agar was measured by ARF-OCE system, and then the Agar model was established by finite element method, and then the shear wave velocity in Agar model was measured. The shear wave velocity in experiment and finite element simulation were compared and analyzed. The shear wave velocity obtained in the experiment is 2.50 m/s, and the range of shear wave velocity obtained in the finite element simulation is 2.4802m/s, and the average wave velocity is 2.5167m/s. The finite element method can express tissue elasticity directly and clearly, and it plays a great guiding role in corneal elastography.

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13

Sheu, Tony W. H., and C. C. Fang. "Finite Element Solution for Wave Propagation in Layered Fluids." Journal of Computational Acoustics 05, no. 04 (December 1997): 383–402. http://dx.doi.org/10.1142/s0218396x97000228.

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A hyperbolic equation is considered for the propagation of pressure disturbance waves in layered fluids having different fluid properties. For acoustic problems of this sort, the characteristic finite element model alone does not suffice to ensure prediction of the monotonic wave profile across fluids having different properties. A flux corrected transport solution algorithm is intended for incorporation into the underlying Taylor–Galerkin finite element framework. The advantage of this finite element approach, in addition to permitting oscillation-free solutions, is that it avoids the necessity of dealing with medium discontinuity. As an analysis tool, the proposed monotonic finite element model has been intensively verified through problems which are amenable to analytic solutions. In modeling wave propagation in layered fluids, we have investigated the influence of the degree of medium change on the finite element solutions. Also, different finite element solutions are considered to show the superiority of using the flux corrected transport Taylor–Galerkin finite element model.

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14

Renno, Jamil M., and Brian R. Mace. "Vibration modelling of structural networks using a hybrid finite element/wave and finite element approach." Wave Motion 51, no. 4 (June 2014): 566–80. http://dx.doi.org/10.1016/j.wavemoti.2013.09.001.

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15

Fan, S. C., S. M. Li, and G. Y. Yu. "Dynamic Fluid-Structure Interaction Analysis Using Boundary Finite Element Method–Finite Element Method." Journal of Applied Mechanics 72, no. 4 (August 20, 2004): 591–98. http://dx.doi.org/10.1115/1.1940664.

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In this paper, the boundary finite element method (BFEM) is applied to dynamic fluid-structure interaction problems. The BFEM is employed to model the infinite fluid medium, while the structure is modeled by the finite element method (FEM). The relationship between the fluid pressure and the fluid velocity corresponding to the scattered wave is derived from the acoustic modeling. The BFEM is suitable for both finite and infinite domains, and it has advantages over other numerical methods. The resulting system of equations is symmetric and has no singularity problems. Two numerical examples are presented to validate the accuracy and efficiency of BFEM-FEM coupling for fluid-structure interaction problems.

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16

Imai, K., Y. Riho, T. Matsumoto, T. Takahashi, and K. Bando. "Wave Force Analysis by the Finite Element Method." Journal of Offshore Mechanics and Arctic Engineering 109, no. 4 (November 1, 1987): 320–26. http://dx.doi.org/10.1115/1.3257027.

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The finite element method is applied to determine the wave forces and wave fields for various coastal and ocean structures. Wave diffraction and radiation problems are solved by the method. A special infinite element is implemented in a computer program to model an outer infinite sea area. The employed numerical examples are for a vertical breakwater, a gravity-type ocean platform and a floating rectangular caisson. All computed results are compared with ones from experiments and other numerical methods. As a result, it is concluded that the finite element method using infinite elements can give sufficient accuracy to be applicable to most practical structures in the ocean.

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17

Igarashi, H., K. Watanabe, T. Ito, T. Fukuda, and T. Honma. "A Finite-Element Analysis of Surface Wave Plasmas." IEEE Transactions on Magnetics 40, no. 2 (March 2004): 605–8. http://dx.doi.org/10.1109/tmag.2004.825450.

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18

Huang, Dehua. "Finite element solution to the parabolic wave equation." Journal of the Acoustical Society of America 84, no. 4 (October 1988): 1405–13. http://dx.doi.org/10.1121/1.396587.

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19

Young, Der‐Liang. "Finite element modeling of shallow water wave equations." Journal of the Chinese Institute of Engineers 14, no. 2 (March 1991): 143–55. http://dx.doi.org/10.1080/02533839.1991.9677320.

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20

Tinti, Stefano, and Alessio Piatanesi. "Wave propagator in finite‐element modeling of tsunamis." Marine Geodesy 18, no. 4 (October 1995): 273–98. http://dx.doi.org/10.1080/15210609509379761.

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21

Kawahara, M., and A. Anjyu. "Lagrangian finite element method for solitary wave propagation." Computational Mechanics 3, no. 5 (1988): 299–307. http://dx.doi.org/10.1007/bf00712144.

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22

Bartels, Sören, Xiaobing Feng, and Andreas Prohl. "Finite Element Approximations of Wave Maps into Spheres." SIAM Journal on Numerical Analysis 46, no. 1 (January 2008): 61–87. http://dx.doi.org/10.1137/060659971.

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23

Bouchoucha, Faker, Mohamed Najib Ichchou, and Mohamed Haddar. "Diffusion matrix through stochastic wave finite element method." Finite Elements in Analysis and Design 64 (February 2013): 97–107. http://dx.doi.org/10.1016/j.finel.2012.09.008.

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24

Jingbo, Liu, and Liao Zhenpeng. "In-plane wave motion in finite element model." Acta Mechanica Sinica 8, no. 1 (February 1992): 80–87. http://dx.doi.org/10.1007/bf02486919.

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25

Givoli, Dan, and Shmuel Vigdergauz. "Finite element analysis of wave scattering from singularities." Wave Motion 20, no. 2 (September 1994): 165–76. http://dx.doi.org/10.1016/0165-2125(94)90040-x.

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26

Isaakidis, S. A., T. D. Xenos, and J. A. Koukos. "Ionospheric radio wave propagation finite element method modeling." Electrical Engineering (Archiv fur Elektrotechnik) 85, no. 5 (November 1, 2003): 235–39. http://dx.doi.org/10.1007/s00202-003-0176-4.

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27

DI, Qing-Yun, Kun XU, and Miao-Yue WANG. "Attenuated Radar Wave Migration with Finite Element Method." Chinese Journal of Geophysics 43, no. 2 (March 2000): 285–90. http://dx.doi.org/10.1002/cjg2.36.

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28

DI, QINGYUN, MEIGEN ZHANG, and MIAOYUE WANG. "TIME-DOMAIN FINITE-ELEMENT WAVE FORM INVERSION OF ACOUSTIC WAVE EQUATION." Journal of Computational Acoustics 12, no. 03 (September 2004): 387–96. http://dx.doi.org/10.1142/s0218396x04002341.

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The paper derives the finite element equation for acoustic wave in time domain and presents a transparent-plus-attenuation boundary condition. Forward modeling demonstrates that the boundary condition absorbs boundary reflection wave very well. On these bases, we derive the equation satisfied by elements of Jacobi matrix used in the inversion of the physical property parameters of acoustic media. In fact, the equation is the same as that of forward modeling in form. Only the right force item is different. So with the same method of forward modeling, we can get the elements of Jacobi matrix. Because the elements are variable with time and the present inversion does not permit too many unknowns. We integrate the finite elements with the same physical property as one unknown structure unit (for example, a horizontal layer or an oblique layer, etc.) and inverse the physical property parameters of these unknown structure units instead all element's unknown parameters. The method greatly reduces calculation time and saves computer memory. Also, it improves the accuracy of the inversion results and improves the stability of the solving process. The inversion equations are solved with QR decomposition method. Model results prove that the full wave equation inversion method in time domain is effective.

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29

Serra, Q., M. N. Ichchou, and J. F. Deü. "Wave properties in poroelastic media using a Wave Finite Element Method." Journal of Sound and Vibration 335 (January 2015): 125–46. http://dx.doi.org/10.1016/j.jsv.2014.09.022.

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30

Kapuria, Santosh, and Amit Kumar. "A wave packet enriched finite element for electroelastic wave propagation problems." International Journal of Mechanical Sciences 170 (March 2020): 105081. http://dx.doi.org/10.1016/j.ijmecsci.2019.105081.

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31

Wang, Zhao Ling, Zheng Ping Liu, and Chi Zhang. "Tunnel Seismic Wave Field Simulation Using Finite Element Method." Applied Mechanics and Materials 121-126 (October 2011): 4880–84. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.4880.

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In the paper, two-dimensional Tunnel seismic Wave field is Simulated with finite element method, and the in the tunnel model with fault zone load Ricker wavelet source on the workface, compared the case of wave propagation according to wave field snapshot and time record, can intuitively, accurately reflect the characteristics of seismic wave propagation in tunnel seismic prediction with geological disasters such as the fault zone and so on.

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32

Rao, Ling, and Hongquan Chen. "Fictitious Domain Technique for the Calculation of Time-Periodic Solutions of Scattering Problem." Mathematical Problems in Engineering 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/503791.

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The fictitious domain technique is coupled to the improved time-explicit asymptotic method for calculating time-periodic solution of wave equation. Conventionally, the practical implementation of fictitious domain method relies on finite difference time discretizations schemes and finite element approximation. Our new method applies finite difference approximations in space instead of conventional finite element approximation. We use the Dirac delta function to transport the variational forms of the wave equations to the differential form and then solve it by finite difference schemes. Our method is relatively easier to code and requires fewer computational operations than conventional finite element method. The numerical experiments show that the new method performs as well as the method using conventional finite element approximation.

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33

Essahbi, Soufien, Emmanuel Perry‐Debain, Mohamed Haddar, Lotfi Hammami, and Mabrouk Ben Tahar. "On the use of the plane wave based method for vibro‐acoustic problems." Multidiscipline Modeling in Materials and Structures 7, no. 4 (November 15, 2011): 356–69. http://dx.doi.org/10.1108/15736101111185261.

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PurposeThe purpose of this paper is to present the extension of plane wave based method.Design/methodology/approachThe mixed functional are discretized using enriched finite elements. The fluid is discretized by enriched acoustic element, the structure by enriched structural finite element and the interface fluid‐structure by fluid‐structure interaction element.FindingsResults obtained show the potentialities of the proposed method to solve a much larger class of wave problems in mid‐ and high‐frequency ranges.Originality/valueThe plane wave based method has previously been applied successfully to finite element and boundary element models for the Helmholtz equation and elastodynamic problems. This paper describes the extension of this method to the vibro‐acoustic problem.

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34

Dermentzoglou, Dimitrios, Myrta Castellino, Paolo De Girolamo, Maziar Partovi, Gerd-Jan Schreppers, and Alessandro Antonini. "Crownwall Failure Analysis through Finite Element Method." Journal of Marine Science and Engineering 9, no. 1 (December 31, 2020): 35. http://dx.doi.org/10.3390/jmse9010035.

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Several failures of recurved concrete crownwalls have been observed in recent years. This work aims to get a better insight within the processes underlying the loading phase of these structures due to non-breaking wave impulsive loading conditions and to identify the dominant failure modes. The investigation is carried out through an offline one-way coupling of computational fluid dynamics (CFD) generated wave pressure time series and a time-varying structural Finite Element Analysis. The recent failure of the Civitavecchia (Italy) recurved parapet is adopted as an explanatory case study. Modal analysis aimed to identify the main modal parameters such as natural frequencies, modal masses and modal shapes is firstly performed to comprehensively describe the dynamic response of the investigated structure. Following, the CFD generated pressure field time-series is applied to linear and non-linear finite element model, the developed maximum stresses and the development of cracks are properly captured in both models. Three non-linear analyses are performed in order to investigate the performance of the crownwall concrete class. Starting with higher quality concrete class, it is decreased until the formation of cracks is reached under the action of the same regular wave condition. It is indeed shown that the concrete quality plays a dominant role for the survivability of the structure, even allowing the design of a recurved concrete parapet without reinforcing steel bars.

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35

Mukherjee, Shuvajit, S. Gopalakrishnan, and Ranjan Ganguli. "Time domain spectral element-based wave finite element method for periodic structures." Acta Mechanica 232, no. 6 (March 15, 2021): 2269–96. http://dx.doi.org/10.1007/s00707-020-02917-y.

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36

LAGHROUCHE, OMAR, and PETER BETTESS. "SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS." Journal of Computational Acoustics 08, no. 01 (March 2000): 189–210. http://dx.doi.org/10.1142/s0218396x00000121.

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The solutions to the Helmholtz equation in the plane are approximated by systems of plane waves. The aim is to develop finite elements capable of containing many wavelengths and therefore simulating problems with large wave numbers without refining the mesh to satisfy the traditional requirement of about ten nodal points per wavelength. At each node of the meshed domain, the wave potential is written as a combination of plane waves propagating in many possible directions. The resulting element matrices contain oscillatory functions and are evaluated using high order Gauss-Legendre integration. These finite elements are used to solve wave problems such as a diffracted potential from a cylinder. Many wavelengths are contained in a single finite element and the number of parameters in the problem is greatly reduced.

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37

Chakraborty, A., and S. Gopalakrishnan. "A Spectral Finite Element Model for Wave Propagation Analysis in Laminated Composite Plate." Journal of Vibration and Acoustics 128, no. 4 (February 3, 2006): 477–88. http://dx.doi.org/10.1115/1.2203338.

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A new spectral plate element (SPE) is developed to analyze wave propagation in anisotropic laminated composite media. The element is based on the first-order laminated plate theory, which takes shear deformation into consideration. The element is formulated using the recently developed methodology of spectral finite element formulation based on the solution of a polynomial eigenvalue problem. By virtue of its frequency-wave number domain formulation, single element is sufficient to model large structures, where conventional finite element method will incur heavy cost of computation. The variation of the wave numbers with frequency is shown, which illustrates the inhomogeneous nature of the wave. The element is used to demonstrate the nature of the wave propagating in laminated composite due to mechanical impact and the effect of shear deformation on the mechanical response is demonstrated. The element is also upgraded to an active spectral plate clement for modeling open and closed loop vibration control of plate structures. Further, delamination is introduced in the SPE and scattered wave is captured for both broadband and modulated pulse loading.

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38

石, 康康. "High Order Discontinuous Finite Element Method for Wave Equation." Pure Mathematics 11, no. 04 (2021): 669–75. http://dx.doi.org/10.12677/pm.2021.114081.

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39

KASHIYAMA, Kazuo, and Mutsuto KAWAHARA. "Boundary type finite element method for surface wave problems." Doboku Gakkai Ronbunshu, no. 363 (1985): 205–14. http://dx.doi.org/10.2208/jscej.1985.363_205.

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40

Yao, Changhui, and Lixiu Wang. "Nonconforming Finite Element Methods for Wave Propagation in Metamaterials." Numerical Mathematics: Theory, Methods and Applications 10, no. 1 (February 2017): 145–66. http://dx.doi.org/10.4208/nmtma.2017.m1426.

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AbstractIn this paper, nonconforming mixed finite element method is proposed to simulate the wave propagation in metamaterials. The error estimate of the semi-discrete scheme is given by convergence order O(h2), which is less than 40 percent of the computational costs comparing with the same effect by using Nédélec-Raviart element. A Crank-Nicolson full discrete scheme is also presented with O(τ2 + h2) by traditional discrete formula without using penalty method. Numerical examples of 2D TE, TM cases and a famous re-focusing phenomena are shown to verify our theories.

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41

Karaa, Samir. "Finite Element θ-Schemes for the Acoustic Wave Equation." Advances in Applied Mathematics and Mechanics 3, no. 1 (April 2011): 181–203. http://dx.doi.org/10.4208/aamm.10-m1018.

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AbstractIn this paper, we investigate the stability and convergence of a family of implicit finite difference schemes in time and Galerkin finite element methods in space for the numerical solution of the acoustic wave equation. The schemes cover the classical explicit second-order leapfrog scheme and the fourth-order accurate scheme in time obtained by the modified equation method. We derive general stability conditions for the family of implicit schemes covering some well-known CFL conditions. Optimal error estimates are obtained. For sufficiently smooth solutions, we demonstrate that the maximal error in the L2-norm error over a finite time interval converges optimally as O(hp+1 + ∆ts), where p denotes the polynomial degree, s=2 or 4, h the mesh size, and ∆t the time step.

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42

Soukup, Josef, František Klimenda, Jan Skočilas, and Milan Žmindák. "Finite Element Modelling of Shock Wave Propagation Over Obstacles." Manufacturing Technology 19, no. 3 (June 1, 2019): 499–507. http://dx.doi.org/10.21062/ujep/319.2019/a/1213-2489/mt/19/3/499.

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43

Huang, Bor-Shouh. "SH Wave Seismogram Synthesis by the Finite Element Method." Terrestrial, Atmospheric and Oceanic Sciences 7, no. 3 (1996): 257. http://dx.doi.org/10.3319/tao.1996.7.3.257(t).

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44

KASHIYAMA, Kazuo, and Mutsuto KAWAHARA. "Adaptive finite element method for linear water wave problems." Doboku Gakkai Ronbunshu, no. 387 (1987): 115–24. http://dx.doi.org/10.2208/jscej.1987.387_115.

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45

Bangerth, W., M. Geiger, and R. Rannacher. "Adaptive Galerkin Finite Element Methods for the Wave Equation." Computational Methods in Applied Mathematics 10, no. 1 (2010): 3–48. http://dx.doi.org/10.2478/cmam-2010-0001.

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AbstractThis paper gives an overview of adaptive discretization methods for linear second-order hyperbolic problems such as the acoustic or the elastic wave equation. The emphasis is on Galerkin-type methods for spatial as well as temporal discretization, which also include variants of the Crank-Nicolson and the Newmark finite difference schemes. The adaptive choice of space and time meshes follows the principle of \goaloriented" adaptivity which is based on a posteriori error estimation employing the solutions of auxiliary dual problems.

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46

Elliott, Stephen J., Guangjian Ni, Brian R. Mace, and Ben Lineton. "A wave finite element analysis of the passive cochlea." Journal of the Acoustical Society of America 133, no. 3 (March 2013): 1535–45. http://dx.doi.org/10.1121/1.4790350.

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47

Zhou, Boran, and Xiaoming Zhang. "Finite element analysis of lung ultrasound surface wave elastography." Journal of the Acoustical Society of America 143, no. 3 (March 2018): 1803. http://dx.doi.org/10.1121/1.5035901.

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48

Xu, B., and B. Q. Li. "FINITE ELEMENT SOLUTION OF NON-FOURIER THERMAL WAVE PROBLEMS." Numerical Heat Transfer, Part B: Fundamentals 44, no. 1 (July 2003): 45–60. http://dx.doi.org/10.1080/713836333.

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49

Jackson, R. W. "Full-wave, finite element analysis of irregular microstrip discontinuities." IEEE Transactions on Microwave Theory and Techniques 37, no. 1 (1989): 81–89. http://dx.doi.org/10.1109/22.20023.

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50

BANGERTH, WOLFGANG, and ROLF RANNACHER. "ADAPTIVE FINITE ELEMENT TECHNIQUES FOR THE ACOUSTIC WAVE EQUATION." Journal of Computational Acoustics 09, no. 02 (June 2001): 575–91. http://dx.doi.org/10.1142/s0218396x01000668.

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We present an adaptive finite element method for solving the acoustic wave equation. Using a global duality argument and Galerkin orthogonality, we derive an identity for the error with respect to an arbitrary functional output of the solution. The error identity is evaluated by solving the dual problem numerically. The resulting local cell-wise error indicators are used in the grid adaptation process. In this way, the space-time mesh can be tailored for the efficient computation of the quantity of interest. We give an overview of the implementation of the proposed method and illustrate its performance by several numerical examples.

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