Journal articles: 'Boundary conditions and coupling'

1

Guendelman, E. I., and R. Steiner. "Confining boundary conditions from dynamical coupling constants." Physics Letters B 734 (June 2014): 245–48. http://dx.doi.org/10.1016/j.physletb.2014.05.057.

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CANUTO, C., and A. RUSSO. "A VISCOUS-INVISCID COUPLING UNDER MIXED BOUNDARY CONDITIONS." Mathematical Models and Methods in Applied Sciences 02, no. 04 (December 1992): 461–82. http://dx.doi.org/10.1142/s0218202592000272.

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In this paper we consider a nonlinear modification of a linear convection-diffusion problem in order to get a pure convection equation where the original problem is convection dominated. We extend the results of previous papers by considering mixed Dirichlet/Oblique derivative boundary conditions.

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Oh, Jae-Hyuk. "Boundary conditions for conformally coupled scalar in AdS4." International Journal of Modern Physics A 30, no. 17 (June 20, 2015): 1550098. http://dx.doi.org/10.1142/s0217751x15500980.

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We consider conformally coupled scalar with [Formula: see text] coupling in [Formula: see text] and study its various boundary conditions on AdS boundary. We have obtained perturbative solutions of equation of motion of the conformally coupled scalar with power expansion order by order in [Formula: see text] coupling [Formula: see text] up to [Formula: see text] order. In its dual CFT, we get 2, 4 and 6 point functions by using this solution with Dirichlet and Neumann boundary conditions via AdS/CFT dictionary. We also consider marginal deformation on AdS boundary and get its on-shell and boundary effective actions.

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Durier, Anne Lise, Katell Derrien, and Pierre Gilormini. "Boundary Conditions in the Diffusion of Fluids in Swelling Polymers." Defect and Diffusion Forum 273-276 (February 2008): 186–91. http://dx.doi.org/10.4028/www.scientific.net/ddf.273-276.186.

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Diffusion of fluids in polymers may lead to swelling, which induces stress-diffusion coupling. A simple coupling model is considered, where boundary conditions only are altered, and it leads to a sigmoidal water-uptake curve for a plate in water. Several other models are studied, which are able to induce similar sorption curves by using various boundary conditions, but comparisons between other predictions of the models reveal significant differences. Eventually, none of the models considered is able to reproduce all features of the coupling model.

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Sockol, Peter M., and William A. Johnston. "Coupling conditions for integrating boundary layer and rotational inviscid flow." AIAA Journal 24, no. 6 (June 1986): 1033–35. http://dx.doi.org/10.2514/3.9381.

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Cavaterra, Cecilia, Ciprian G. Gal, Maurizio Grasselli, and Alain Miranville. "Phase-field systems with nonlinear coupling and dynamic boundary conditions." Nonlinear Analysis: Theory, Methods & Applications 72, no. 5 (March 2010): 2375–99. http://dx.doi.org/10.1016/j.na.2009.11.002.

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Xin, Zhe, Shun Xi Wang, Ke Peng Zhang, Zhao Jing Li, and Feng Yun. "Boundary Conditions for Numerical Simulation of Diesel Water Jacket." Advanced Materials Research 291-294 (July 2011): 2328–33. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.2328.

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In the research of flow and heat transfer of the diesel engine cooling system, the boundary condition determination was often a difficult problem. The paper calculated the flow velocity and convective heat transfer coefficient respectively for a six-cylinder diesel engine under different boundary conditions which including the water jacket wall as adiabatic condition, average temperature condition, and the boundary conditions from the solid-fluid coupling calculating. And the calculated values of the jacket wall temperatures were compared with that of test. The results showed that the simulation with solid-fluid coupling boundary conditions had better precision. Based on the research, an improved structure design was conducted for the six-cylinder diesel engine, the results of simulation showed that the average flow speed at the internal surface of water jacket could reach up to 0.5m/s, the flow symmetry in each jacket got improved, and the convective heat transfer coefficient could reach more than 2000 W/m2·K. The improved cooling system can meet the design requirements.

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Smotlacha, Jan, and Richard Pincak. "Boundary conditions and Green function approach of the spin–orbit interaction in the graphitic nanocone." International Journal of Geometric Methods in Modern Physics 14, no. 09 (August 2, 2017): 1750116. http://dx.doi.org/10.1142/s021988781750116x.

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The boundary effects affecting the Hamiltonian for the nanocone with curvature-induced spin–orbit coupling were considered and the corresponding electronic structure was calculated. These boundary effects include the spin–orbit coupling, the electron mass acquisition and the Coulomb interaction. Different numbers of the pentagonal defects in the tip were considered. The matrix and analytical form of the Green function approach was used for the verification of our results and the increase of their precision in the case of the spin–orbit coupling.

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CLARK, T. E., and S. T. LOVE. "TWISTED BOUNDARY CONDITIONS AND MATCHING TO THE EFFECTIVE FOUR-DIMENSIONAL THEORY." Modern Physics Letters A 15, no. 17 (June 7, 2000): 1137–45. http://dx.doi.org/10.1142/s0217732300001390.

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Nontrivial twisted boundary conditions associated with extra compact dimensions can produce an ambiguity in the value of the four-dimensional coupling constants of the renormalizable interactions of the twisted fields' zero-modes. Resolving this indeterminacy would require a knowledge of the exact form of the higher dimensional action including the coefficients of higher-dimensional operators. For the case of moderately sized extra dimensions, the uncertainty in the coupling constants can be of order one and may lead to modifications in the stability of the model.

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HARIHARAN, S. I., and DAVID K. JOHNSON. "A FRAMEWORK FOR EVALUATING BOUNDARY CONDITIONS." Journal of Computational Acoustics 03, no. 03 (September 1995): 241–59. http://dx.doi.org/10.1142/s0218396x95000124.

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This paper explores solutions to the spherically symmetric Euler equations. Motivated by the work of Hagstrom and Hariharan7 and Geer and Pope,5 we model the effect of a pulsating sphere in a compressible medium. The literature available on this suggests that an accurate numerical solution requires artificial boundary conditions which simulate the propagation of nonlinear waves in open domains. Until recently, the boundary conditions available are in general linear, and based on non-reflection. Exceptions to this are the nonlinear nonreflective conditions of Thompson,11 and the nonlinear reflective condition of Ref. 7. The former is based on the rate of change of the incoming characteristics, while the latter relies on asymptotic analysis and the method of characteristics and accounts for the coupling of incoming and outgoing characteristics. Furthermore in Ref. 7 it was shown in a test situation in which the flow would reach a steady state over a long time, the method proposed in Ref. 11 could lead to an incorrect steady state. The current study considers periodic flows. Moreover, various other types and techniques of boundary conditions are included in this study. The technique recommended by Ref. 7 proved superior to all others considered, and matched the results of asymptotic methods which are valid for low subsonic Mach numbers.

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11

Pinto, Carlos. "Boundary conditions, gauge fixing ambiguities and exact expectation values in U(1) lattice gauge theory." International Journal of Modern Physics A 31, no. 08 (March 14, 2016): 1650035. http://dx.doi.org/10.1142/s0217751x16500354.

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We analyze the interplay between gauge fixing and boundary conditions in two-dimensional U(1) lattice gauge theory. We show on the basis of a general argument that periodic boundary conditions result in an ill-defined weak coupling approximation but that the approximation can be made well-defined if the boundaries are fixed to zero. We confirm this result in the particular case of the Feynman gauge. We show that the zero momentum mode divergence in the propagator that appears in the Feynman gauge vanishes when the weak coupling approximation is well-defined. In addition we obtain exact results (for arbitrary coupling), including finite size corrections, for the partition function and for general one-point and two-point functions in the axial gauge under both periodic and zero boundary conditions and confirm these results numerically. The dependence of these objects on both lattice size and coupling constant is investigated using specific examples. These exact results may provide insight into similar gauge fixing issues in more complex models.

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Chen, Lujun, Deshui Xu, Jingtao Du, and Chengwen Zhong. "Flexural Vibration Analysis of Nonuniform Double-Beam System with General Boundary and Coupling Conditions." Shock and Vibration 2018 (October 1, 2018): 1–8. http://dx.doi.org/10.1155/2018/5103174.

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In this paper, an analytical modeling approach for the flexural vibration analysis of the nonuniform double-beam system is proposed via an improved Fourier series method, in which both types of translational and rotational springs are introduced to account for the mechanical coupling on the interface as well as boundary restraints. Energy formulation is employed for the dynamic description of the coupling system. With the aim to treat the varying thickness across the beam in a unified pattern, the relevant variables are all expanded into Fourier series. Supplementary terms with the smoothed characteristics are introduced to the standard Fourier series for the construction of displacement admissible function for each beam. In conjunction with the Rayleigh–Ritz procedure, the transverse modal characteristics of nonuniform double-beam system can be obtained by solving a standard eigenvalue problem. Instead of solving the certain value of nonideal boundary conditions, the continuous spring stiffnesses of the boundary conditions are considered, and the rotational restrains are introduced in the coupling beam interface. Numerical results are then presented to demonstrate the reliability of the current model and study the influence of various parameters, such as taper ratio, boundary, and coupling strength on the free vibration characteristics, with the emphasis put on the rotational restraining coefficients on the beam interface. This work can provide an efficient modeling framework for the vibration characteristics study of the complex double-beam system, especially with arbitrary varying thickness and coupling stiffness.

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Shertzer, J., E. Bernstein, and F. S. Levin. "Boundary conditions and channel-coupling-array calculation for theH2ungerade triplet state." Physical Review A 31, no. 6 (June 1, 1985): 3570–73. http://dx.doi.org/10.1103/physreva.31.3570.

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14

YAO, Jun, Bo GAO, and ZhaoQin HUANG. "On the interface boundary conditions for the Stokes-Darcy coupling problem." SCIENTIA SINICA Physica, Mechanica & Astronomica 44, no. 2 (January 1, 2014): 212–20. http://dx.doi.org/10.1360/132013-200.

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15

CESANA, PIERLUIGI, and ANTONIO DESIMONE. "STRAIN-ORDER COUPLING IN NEMATIC ELASTOMERS: EQUILIBRIUM CONFIGURATIONS." Mathematical Models and Methods in Applied Sciences 19, no. 04 (April 2009): 601–30. http://dx.doi.org/10.1142/s0218202509003541.

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We consider models that describe liquid crystal elastomers either in a biaxial or in a uniaxial phase and in the framework of Frank's director theory. We prove the existence of static equilibrium solutions in the presence of frustrations due to electro-mechanical boundary conditions and to applied loads and fields. We find explicit solutions arising in connection with special boundary conditions and the corresponding phase diagrams, leading to significant implications on possible experimental observations.

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Dong, Jin Shan, and Bo Qin Gu. "Coupling Analysis of Heat Transfer in Finned Radiator Based on Numerical Simulation Codes ABAQUS and FLUENT." Advanced Materials Research 118-120 (June 2010): 635–39. http://dx.doi.org/10.4028/www.scientific.net/amr.118-120.635.

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The heat transfer in solid-fluid coupling system relates to not only the heat transfer process in solid and fluid bodies but also the physical quantity exchange through the boundary. Because some boundary conditions, such as heat flux and coefficient of heat transfer, are uncertain, neither solid body nor fluid body can be separated from the coupling system when the thermal coupling analysis is carried out. A coupling analysis method based on numerical simulation codes ABAQUS and FLUENT was put forward to solve the boundary problem. The two simulation codes were controlled by the interface software which was developed to exchange the boundary conditions between solid and fluid models at each iteration step. A copper finned radiator model and its corresponding air model were built by ABAQUS and FLUENT respectively, and the heat elimination process of the radiator under forced convection conditions was investigated. The heat elimination characteristic of an aluminium radiator was also researched. By comparing with the copper radiator, it can be found that the larger the coefficient of heat conductivity is, the higher the heat elimination efficiency is.

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Shekhan, Husain N., Erkan A. Gurdal, Lalitha Ganapatibhotla, Janna K. Maranas, Ron Staut, and Kenji Uchino. "Thermal Conductivities of PZT Piezoelectric Ceramics under Different Electrical Boundary Conditions." Insight - Material Science 3, no. 1 (March 17, 2020): 10. http://dx.doi.org/10.18282/ims.v3i1.301.

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Physical properties of polycrystalline lead-zirconate-titanate (PZT) changes according to electrical boundary conditions and poling. This paper reports the thermal properties of poled and unpoled PZT's in the poling direction for open circuit and short circuit conditions. The authors found that the short-circuit condition exhibited the largest thermal conductivity than the open-circuit condition. In the relationship between these two thermal properties, the authors propose the "electrothermal" coupling factor kκ33, which is similar to the electromechanical coupling factor k33 relating the elastic compliances under short- and open-circuit conditions. On the other hand, the thermal conductivity of the unpoled specimen exhibits the lowest thermal conductivity, in comparison with the poled specimens, which suggests the importance of phonon mode scattering on the thermal conductivity with respect to elastic compliance.

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18

Termonia, Piet, Alex Deckmyn, and Rafiq Hamdi. "Study of the Lateral Boundary Condition Temporal Resolution Problem and a Proposed Solution by Means of Boundary Error Restarts." Monthly Weather Review 137, no. 10 (October 1, 2009): 3551–66. http://dx.doi.org/10.1175/2009mwr2964.1.

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Abstract To properly utilize coupled limited-area models (LAMs), the time scales of the cross-boundary fluxes in the available lateral boundary data must be assessed. In current operational practice, the update frequencies of these data are usually determined by common sense guesswork and by technical constraints. This paper quantifies the required temporal resolution of the lateral boundary conditions. For a mesoscale LAM it is concluded that in standard forecast cases, coupling updates of about 3 h are sufficient. However, in rare cases of severe storms, this can lead to errors in the coupling data of about 10 hPa. To avoid such errors, it is found that one should update the coupling fields with the period given by the time step of the model that provides the coupling data. However, in most existing operational applications this is not feasible. For those cases, it is shown that the forecast can be substantially improved by restarting the model run at a forecast range when the storm has entered the domain. The proper restart time can be detected in an operational suite by an existing strategy of monitoring the coupling update frequency. Additionally, it is argued that the forecast should then be initialized by a scale-selective digital filter.

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Shi, Xianjie, and Dongyan Shi. "Free and forced vibration analysis of T-shaped plates with general elastic boundary supports." Journal of Low Frequency Noise, Vibration and Active Control 37, no. 2 (February 12, 2018): 355–72. http://dx.doi.org/10.1177/1461348418756021.

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This investigation proposes a series solution method for free and forced vibration analysis of T-shaped plate structure with general elastic supports, arbitrary coupling angles and elastically coupled conditions. The present solution framework can be readily utilized for various boundary or coupling conditions without modifying the solution algorithms or procedures. The general boundary and coupling conditions are considered with artificial spring method and can be easily achieved with assigning the restraining springs with specified values. In the current approach, the displacement functions for in-plane and bending vibration are expressed as a new form of trigonometric series expansion. The sine terms are introduced to eliminate the discontinuity along the boundary edge or coupling edge. Rayleigh–Ritz method is employed to determine the series expansion coefficients, which are treated as the generalized coordinates. Numerous numerical examples are carried out to verify the accuracy and reliability of the present method. The present method can be directly extended to more complicated structures with any number of plates.

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20

Mignolet, Marc P., Christian Soize, and Javier Avalos. "Nonparametric Stochastic Modeling of Structures with Uncertain Boundary Conditions/Coupling Between Substructures." AIAA Journal 51, no. 6 (June 2013): 1296–308. http://dx.doi.org/10.2514/1.j051555.

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21

De Gersem, H., and K. Hameyer. "Harmonic boundary conditions for circular inclusions and their coupling to external circuits." IEE Proceedings - Science, Measurement and Technology 148, no. 6 (November 1, 2001): 257–62. http://dx.doi.org/10.1049/ip-smt:20010532.

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22

Ding, Xiao-Li, and Juan J. Nieto. "Analytical solutions for coupling fractional partial differential equations with Dirichlet boundary conditions." Communications in Nonlinear Science and Numerical Simulation 52 (November 2017): 165–76. http://dx.doi.org/10.1016/j.cnsns.2017.04.020.

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23

Lu, Ye Qiang, Wen Feng Wei, and Yi Long Zhang. "Research and Simulation on Drawing Force of the Tripod Type Universal Coupling." Advanced Materials Research 482-484 (February 2012): 792–95. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.792.

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Analyzing the strain expression referring to Castigliano’s Theorem after analysis of the tripod type universal coupling under drawing force comes to the simplified mode of tripod type universal coupling. And with the help of simplified mode, it concludes that the minimum strain occurs when the radius of cross-section of the circlip equals to the depth of groove. After setting material attributes, boundary conditions, contacts of the tripod type universal coupling, and static simulation with the finite element method in SolidWorks, the strain of the universal couplings is carried out. Theoretical analysis and simulation results show that when the radius of cross-section of the coupling equals to the depth of groove, the strain is minimum.

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Samelson, R. M., E. D. Skyllingstad, D. B. Chelton, S. K. Esbensen, L. W. O'Neill, and N. Thum. "On the Coupling of Wind Stress and Sea Surface Temperature." Journal of Climate 19, no. 8 (April 15, 2006): 1557–66. http://dx.doi.org/10.1175/jcli3682.1.

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Abstract A simple quasi-equilibrium analytical model is used to explore hypotheses related to observed spatial correlations between sea surface temperatures and wind stress on horizontal scales of 50–500 km. It is argued that a plausible contributor to the observed correlations is the approximate linear relationship between the surface wind stress and stress boundary layer depth under conditions in which the stress boundary layer has come into approximate equilibrium with steady free-atmospheric forcing. Warmer sea surface temperature is associated with deeper boundary layers and stronger wind stress, while colder temperature is associated with shallower boundary layers and weaker wind stress. Two interpretations of a previous hypothesis involving the downward mixing of horizontal momentum are discussed, and it is argued that neither is appropriate for the warm-to-cold transition or quasi-equilibrium conditions, while one may be appropriate for the cold-to-warm transition. Solutions of a turbulent large-eddy simulation numerical model illustrate some of the processes represented in the analytical model. A dimensionless ratio γτA is introduced to measure the relative influence of lateral momentum advection and local surface stress on the boundary layer wind profile. It is argued that when γτA < 1, and under conditions in which the thermodynamically induced lateral pressure gradients are small, the boundary layer depth effect will dominate lateral advection and control the surface stress.

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Ma, Hong Wei, Ji Wei Wang, and Ji Xiang Xu. "Nonlinear Simulation of Interaction between Water and Free Floating Ship." Applied Mechanics and Materials 90-93 (September 2011): 2528–32. http://dx.doi.org/10.4028/www.scientific.net/amm.90-93.2528.

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Based on fluid-solid two-phase coupling numerical model, this paper utilized velocity potential function theory to investigate the nonlinear interaction of water and free floating body. Meanwhile, multi-time step integral method and Overall numerical solution method, which are suitable for finite element dynamic analysis, and free surface boundary condition, not moving boundary conditions and the water-solid coupling boundary conditions are adopted to analyze the dynamic responses of water and free floating body with different dimensions. Numerical results show that the change of floating body sizes can obviously affect the dynamic characteristics of the fluid-solid coupling system, especially in the aspects of the stress responses of the floating body and the pressure responses of the water model.

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Martín-Ruiz, A., M. Cambiaso, and L. F. Urrutia. "The magnetoelectric coupling in electrodynamics." International Journal of Modern Physics A 34, no. 28 (October 10, 2019): 1941002. http://dx.doi.org/10.1142/s0217751x19410021.

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We explore a model akin to axion electrodynamics in which the axion field [Formula: see text] rather than being dynamical is a piecewise constant effective parameter [Formula: see text] encoding the microscopic properties of the medium inasmuch as its permittivity or permeability, defining what we call a [Formula: see text]-medium. This model describes a large class of phenomena, among which we highlight the electromagnetic response of materials with topological order, like topological insulators for example. We pursue a Green’s function formulation of what amounts to typical boundary-value problems of [Formula: see text]-media, when external sources or boundary conditions are given. As an illustration of our methods, which we have also extended to ponderable media, we interpret the constant [Formula: see text] as a novel topological property of vacuum, a so called [Formula: see text]-vacuum, and restrict our discussion to the cases where the permittivity and the permeability of the media is one. In this way we concentrate upon the effects of the additional [Formula: see text] coupling which induce remarkable magnetoelectric effects. The issue of boundary conditions for electromagnetic radiation is crucial for the occurrence of the Casimir effect, therefore we apply the methods described above as an alternative way to approach the modifications to the Casimir effect by the inclusion of topological insulators.

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Xue, Fei, and Beibei Sun. "Modelling and Analysis of Global Vibroacoustic Coupling Characteristics of a Rectangular Enclosure Bounded by a Flexible Panel." Shock and Vibration 2018 (September 2, 2018): 1–12. http://dx.doi.org/10.1155/2018/7562630.

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The interaction between the sound field in an enclosure and its flexible panel is a critical problem; the influence of structural parameters on global vibroacoustic coupling characteristics of the panel-enclosure system is very important. In this paper, a novel index of the global coupling level was first proposed to describe the global vibroacoustic coupling extent between multiple panel vibration modes and enclosure acoustical modes of the coupled system. Then, the influence of structural parameters on global coupling levels of the coupled system with different panel boundary conditions was obtained based on the numerical results of transfer factors. Moreover, according to the comprehensive influence of the structural parameters on global coupling levels, design methods of the coupled system with low global coupling levels were then discussed. Finally, the influence mechanism of panel boundary conditions on the coupling characteristics of the coupled system was analyzed. The results show that the structural parameters have similar effect on the coupling property of the system with different panel boundary conditions. Furthermore, the influence of the structural parameters on the coupling property of the system with a clamped panel is more sensitive than that of the system with a simply supported one. Furthermore, the structural parameters, especially the enclosure depth and panel thickness, are not completely negative correlated to the global coupling levels of the system. In conclusion, this study could provide a theoretical basis for acoustical design of the panel-enclosure system (e.g., rectangular vehicle cabins) with low global coupling level, as well as the lightweight structure design of the system.

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Chikhar, Kamel, and Pierre Gauthier. "Impact of Lateral Boundary Conditions on Regional Analyses." Monthly Weather Review 145, no. 4 (March 21, 2017): 1361–79. http://dx.doi.org/10.1175/mwr-d-16-0245.1.

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Abstract Regional and global climate models are usually validated by comparison to derived observations or reanalyses. Using a model in data assimilation results in a direct comparison to observations to produce its own analyses that may reveal systematic errors. In this study, regional analyses over North America are produced based on the fifth-generation Canadian Regional Climate Model (CRCM5) combined with the variational data assimilation system of the Meteorological Service of Canada (MSC). CRCM5 is driven at its boundaries by global analyses from ERA-Interim or produced with the global configuration of the CRCM5. Assimilation cycles for the months of January and July 2011 revealed systematic errors in winter through large values in the mean analysis increments. This bias is attributed to the coupling of the lateral boundary conditions of the regional model with the driving data particularly over the northern boundary where a rapidly changing large-scale circulation created significant cross-boundary flows. Increasing the time frequency of the lateral driving and applying a large-scale spectral nudging significantly improved the circulation through the lateral boundaries, which translated in a much better agreement with observations.

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Zhang, Jie, Kiet Tieu, Guillaume Michal, Hongtao Zhu, Liang Zhang, Lihong Su, Guanyu Deng, and Hui Wang. "A damping boundary condition for atomistic-continuum coupling." Chinese Physics B 26, no. 6 (May 2017): 068702. http://dx.doi.org/10.1088/1674-1056/26/6/068702.

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CHIU, CHUANG-HSIUNG, WEN-WEI LIN, and CHEN-CHANG PENG. "ASYMPTOTIC SYNCHRONIZATION IN LATTICES OF COUPLED NONIDENTICAL LORENZ EQUATIONS." International Journal of Bifurcation and Chaos 10, no. 12 (December 2000): 2717–28. http://dx.doi.org/10.1142/s0218127400001778.

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In this paper we study coupled nonidentical Lorenz equations with three different boundary conditions. Coupling rules and boundary conditions play essential roles in the qualitative analysis of solutions of coupled systems. By using Lyapunov stability theory, a sufficient condition is obtained for the global stability of trivial equilibrium of coupled system with Dirichlet condition. Then we restrict our attention on the dynamics of coupled nonidentical Lorenz equations with Neumann/periodic boundary condition and prove that the asymptotic synchronization occurs provided the coupling strengths are sufficiently large. That is, the difference between any two components of solution is bounded by the quantity O(ε/ max {c1, c2, c3}) as t → ∞, where ε is the maximal deviation of parameters of nonidentical Lorenz equations, and c1, c2 and c3 are the specified coupling strengths.

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CHENAGHLOU, A., and E. CORRIGAN. "FIRST ORDER QUANTUM CORRECTIONS TO THE CLASSICAL REFLECTION FACTOR OF THE SINH–GORDON MODEL." International Journal of Modern Physics A 15, no. 28 (November 10, 2000): 4417–32. http://dx.doi.org/10.1142/s0217751x0000183x.

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The sinh–Gordon model is restricted to a half-line by boundary conditions maintaining integrability. A perturbative calculation of the reflection factor is given to one loop order in the bulk coupling and to first order in the difference of the two parameters introduced at the boundary, providing a further verification of Ghoshal's formula. The calculation is consistent with a conjecture for the general dependence of the reflection factor on the boundary parameters and the bulk coupling.

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Zhou, Qi Zheng, De Shi Wang, and Shu Yang. "Acoustic and Vibration Characteristics of Finite Cylindrical Shell-Circular Plate Based on Lagrange Equations." Applied Mechanics and Materials 302 (February 2013): 401–5. http://dx.doi.org/10.4028/www.scientific.net/amm.302.401.

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An analysis based on Lagrange equations was presented for acoustic and vibration characteristics of finite cylindrical shell-circular plate underwater. The boundary conditions and coupling conditions between the shell and plate expressed using springs, the model of finite shell with circular plate was set up. Considering the elastic potential energy in springs and the work due to fluid loading, the vibro-acoustic equations of finite cylinder with circular plate under excitation were established by Lagrange equations. The influences of boundary conditions and coupling conditions to the acoustic and vibration characteristics were researched. The results show that . The results could be used to control the underwater vehicle’s vibration and acoustic radiation.

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Chen, YH, GY Jin, and ZG Liu. "Vibrational energy flow analysis of coupled cylindrical shell-plate structure with general boundary and coupling conditions." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 10 (August 12, 2014): 1727–44. http://dx.doi.org/10.1177/0954406214546879.

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An analytical study on the vibration and energy flow behaviors of a coupled cylindrical shell-plate structure is presented. An analytical model capable of handling general boundary and coupling conditions is developed in which the interactions of all internal forces and moments for both the shell and plate have been taken into account at the junction via four types of coupling springs with arbitrary stiffness and covering all the degrees of freedom, and each of the plate and shell displacement functions is expressed as the superposition of a two-dimensional Fourier series and several supplementary functions. The unknown expansions coefficients are obtained using the Rayleigh-Ritz procedure. The effectiveness and accuracy of the present solution are validated against the FEM results. The energy flow behaviors through this structure are investigated through parametric power flow and structural intensity analysis. The contribution of internal forces or moments to the power flow and the influence of key system parameters on the energy flow are analyzed numerically, including coupling locations, coupling conditions, boundary conditions, and excitation location. The results shed light on the effects of system parameters on the energy flow behaviors of the class of coupled shell-plate structure.

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Zhang, Jian Hua, and Shou Shan Jiang. "Rigid-Flexible Coupling Model and Dynamic Analysis of Rocket Sled." Advanced Materials Research 346 (September 2011): 447–54. http://dx.doi.org/10.4028/www.scientific.net/amr.346.447.

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The Dynamics Analysis & Simulation of the Rocket Sled were done based on Multibody System Dynamics and Finite Element Analysis Theory. The most difficult work in the analysis was establishing the boundary conditions of the rocket sled. The paper made this kind of attempt. Then the relevant post processing figures and data were obtained, thereby providing the designer and manufacturer with detailed and reliable data. The conclusion is the simulation method is more effective than those before and the boundary conditions is correct and acceptable.

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Steiner, Roee, and Eduardo Guendelman. "Confining boundary conditions from dynamical coupling constants for Abelian and non-Abelian symmetries." International Journal of Modern Physics A 29, no. 29 (November 20, 2014): 1450165. http://dx.doi.org/10.1142/s0217751x14501656.

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The present work represents among other things a generalization to the non-Abelian case of our previous result where the Abelian case was studied. In the U(1) case the coupling to the gauge field contains a term of the form g(ϕ)jμ(Aμ +∂μB), where B is an auxiliary field and jμ is the Dirac current. The scalar field ϕ determines the local value of the coupling of the gauge field to the Dirac particle. The consistency of the equations determines the condition ∂μϕjμ = 0 which implies that the Dirac current cannot have a component in the direction of the gradient of the scalar field. As a consequence, if ϕ has a soliton behavior, we obtain that jμ cannot have a flux through the wall of the bubble, defining a confinement mechanism where the fermions are kept inside those bags. In this paper, we present more models in Abelian case which produce constraint on the Dirac or scalar current and also spin. Furthermore a model that gives the MIT confinement condition for gauge fields is obtained. We generalize this procedure for the non-Abelian case and we find a constraint that can be used to build a bag model. In the non-Abelian case, the confining boundary conditions hold at a specific surface of a domain wall.

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Cao, Yang, Linquan Yao, and Yu Yin. "New treatment of essential boundary conditions in EFG method by coupling with RPIM." Acta Mechanica Solida Sinica 26, no. 3 (June 2013): 302–16. http://dx.doi.org/10.1016/s0894-9166(13)60028-2.

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Minami, H., T. Koike, N. Orita, T. Kashiwagi, M. Tsujimoto, T. Yamamoto, and K. Kadowaki. "Coupling to External Structures: Boundary Conditions for the Bi2212-based Superconducting THz Emitter." Journal of Physics: Conference Series 400, no. 2 (December 17, 2012): 022072. http://dx.doi.org/10.1088/1742-6596/400/2/022072.

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Binding, P., and H. Volkmer. "A Prüfer angle approach to semidefinite Sturm–Liouville problems with coupling boundary conditions." Journal of Differential Equations 255, no. 5 (September 2013): 761–78. http://dx.doi.org/10.1016/j.jde.2013.04.033.

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Surulescu, Christina. "On a Time-Dependent Fluid-Solid Coupling in 3D with Nonstandard Boundary Conditions." Acta Applicandae Mathematicae 110, no. 3 (April 3, 2009): 1087–104. http://dx.doi.org/10.1007/s10440-009-9495-4.

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Ye, Z., and Z. Zhou. "The bending of composite shallow revolutional shells." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 214, no. 6 (June 1, 2000): 369–76. http://dx.doi.org/10.1243/0954410001531953.

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This paper deals with the bending problem of composite revolutional shells under the action of distributed loading using a new approach, the non-orthogonal series method, i.e. NOSM. The formulation is based on the thin shell theory of small strains. The basic equations are developed and can be expressed in matrix form for composite revolutional shells. In general, because of the anisotropic characteristics, there will be a coupling effect in the boundary conditions, even including the axisymmetrical bending case. The non-orthogonal function series adopted showed very significant coupling effects in such anisotropic and orthotropic revolutional shells. Finally, a composite shallow spherical shell was investigated and the results show that the coupling effect at the boundary conditions makes the maximum displacement smaller than in the case of no coupling.

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41

Shi, Dongyan, Wenhui Ren, Hong Zhang, Gai Liu, and Qingshan Wang. "Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system." Journal of Low Frequency Noise, Vibration and Active Control 39, no. 4 (July 1, 2019): 1102–26. http://dx.doi.org/10.1177/1461348419860630.

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The research object of this paper is the L-shaped plate–cavity coupling system established by a cuboid acoustic cavity with rigid-wall or impedance-wall and L-shaped plate with numerous elastic boundary conditions in view of the Fourier series method. The main research content of this paper is the vibro-acoustic coupling characteristics. In this paper, the displacements admissible functions of the L-shaped plate are generally set as the sum of two cosines’ product and two polynomials. Sound pressure admissible functions of the cuboid acoustic cavity can be considered as the sum of three cosines’ product and six polynomials. The discontinuity of coupling system at all boundaries in the overall solution domain is overcome in this way. Through the energy principle and the Rayleigh-Ritz technology, it can be got that the solving matrix equation of the L-shaped plate-cavity coupling system. Based on verifying the great numerical characteristics of the L-shaped plate–cavity coupling model, they obtained both the frequency analysis and the displacement or sound pressure response analysis under the excitation, including a unit simple harmonic force or a unit monopole source. The advantages of this method are parameterization and versatility. In addition, some new achievements have been shown, based on various materials, boundary conditions, thicknesses, and orthotropic degrees, which may become the foundation for the future research.

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Gagliardini, Olivier, and Jacques Meyssonnier. "Lateral boundary conditions for a local anisotropic ice-flow model." Annals of Glaciology 35 (2002): 503–9. http://dx.doi.org/10.3189/172756402781817202.

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AbstractA local two-dimensional flow model which accounts for the anisotropic behaviour of polar ice and the evolution of its strain-induced anisotropy is briefly reviewed. Due to its complexity, it is not yet possible to use this model to simulate the flow of a whole ice sheet, and its potential applications are presently restricted to limited spatial domains around existing drilling sites. In order to calculate the local flow of ice, boundary conditions must be applied on the lateral edges of the studied domain. Since these limits correspond to fictitious sections of the ice sheet, the type of boundary condition to adopt is not obvious. In the present paper, different kinds of boundary conditions of the Dirichlet type, applied at the lateral boundary of an idealized ice sheet of simplified geometry, are discussed. This will serve as a first step towards the coupling of the local flow model with a global ice-sheet flow model.

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Elleithy, Wael. "Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part I: Formulation and Implementation." Applied Mechanics and Materials 353-356 (August 2013): 3263–68. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.3263.

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Several existing interface relaxation methods for finite element–boundary element coupling (FEM–BEM) and for boundary element–domain decomposition (BEM–DD) are reviewed. Furthermore, an interface relaxation method for BEM–DD is presented. This is Part I of two papers. In Part II, the convergence conditions of the interface relaxation FEM-BEM coupling and BEM-DD method are established. Example application is given for elaboration

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Perlin, Natalie, Eric D. Skyllingstad, Roger M. Samelson, and Philip L. Barbour. "Numerical Simulation of Air–Sea Coupling during Coastal Upwelling." Journal of Physical Oceanography 37, no. 8 (August 1, 2007): 2081–93. http://dx.doi.org/10.1175/jpo3104.1.

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Abstract Air–sea coupling during coastal upwelling was examined through idealized three-dimensional numerical simulations with a coupled atmosphere–ocean mesoscale model. Geometry, topography, and initial and boundary conditions were chosen to be representative of summertime coastal conditions off the Oregon coast. Over the 72-h simulations, sea surface temperatures were reduced several degrees near the coast by a wind-driven upwelling of cold water that developed within 10–20 km off the coast. In this region, the interaction of the atmospheric boundary layer with the cold upwelled water resulted in the formation of an internal boundary layer below 100-m altitude in the inversion-capped boundary layer and a reduction of the wind stress in the coupled model to half the offshore value. Surface heat fluxes were also modified by the coupling. The simulated modification of the atmospheric boundary layer by ocean upwelling was consistent with recent moored and aircraft observations of the lower atmosphere off the Oregon coast during the upwelling season. For these 72-h simulations, comparisons of coupled and uncoupled model results showed that the coupling caused measurable differences in the upwelling circulation within 20 km off the coast. The coastal Ekman transport divergence was distributed over a wider offshore extent and a thinner ocean surface boundary layer, with consistently smaller offshore and depth-integrated alongshore transport formed in the upwelling region, in the coupled case relative to the uncoupled case. The results indicate that accurate models of coastal upwelling processes can require representations of ocean–atmosphere interactions on short temporal and horizontal scales.

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Ma, Lina, Rui Chen, Xiaofeng Yang, and Hui Zhang. "Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines." Communications in Computational Physics 21, no. 3 (February 7, 2017): 867–89. http://dx.doi.org/10.4208/cicp.oa-2016-0008.

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AbstractIn this paper, we present some efficient numerical schemes to solve a two-phase hydrodynamics coupled phase field model with moving contact line boundary conditions. The model is a nonlinear coupling system, which consists the Navier-Stokes equations with the general Navier Boundary conditions or degenerated Navier Boundary conditions, and the Allen-Cahn type phase field equations with dynamical contact line boundary condition or static contact line boundary condition. The proposed schemes are linear and unconditionally energy stable, where the energy stabilities are proved rigorously. Various numerical tests are performed to show the accuracy and efficiency thereafter.

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Zhang, Chao, Jian Long Ji, and Jian Ping Lei. "Investigation on Buckling of Cylindrical Shells and Influences of Boundary Conditions." Advanced Materials Research 243-249 (May 2011): 1326–30. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.1326.

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Thin-walled cylindrical shells are widely used in many industrial sectors as light structural elements. Determination of their buckling strength under various types of loading conditions is a crucial work for engineering design. Due to the needs of research of crashworthiness, dynamic buckling of cylindrical shells subjected to the strong axial impact becomes a frontier issue in recent years. The axial impact is a very complex dynamic process because of the coupling of multiple effects. In this paper, the buckling mechanism of cylindrical shells subjected to axial impact and the influences of boundary conditions, and energy absorption properties have been investigated by experiments.

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Du, Xiao Jun, Xiao Qing Li, Ying Juan Yue, and Fei Chen. "Thermal-Structural Coupling Analysis of Planetary Roller Screw." Applied Mechanics and Materials 757 (April 2015): 55–59. http://dx.doi.org/10.4028/www.scientific.net/amm.757.55.

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This paper established the finite element model of planetary roller screw (PRS) for thermal structure coupling analysis, and set the model parameters and boundary conditions reasonably, verified the reliability of the calculation model through the comparison and analysis of simulation data obtained, and discussed the effect of force on PRS main bearing member under preloaded and non-preloaded conditions.

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Yang, Yongqiang, and Zhongmin Wang. "Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates." Mathematical Problems in Engineering 2019 (March 5, 2019): 1–18. http://dx.doi.org/10.1155/2019/8573241.

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This study investigates the thermoelastic coupling vibration and stability of rotating annular sector plates. Based on Hamilton’s principle and thermal conduction equation with deformation effect, the differential equation of transverse vibration for a rotating annular sector plate is established. The differential equation of vibration and corresponding boundary conditions are discretized by the differential quadrature method. Then, the thermoelastic coupling transverse vibrations under three different boundary conditions are calculated. The change curve of the first three order dimensionless complex frequencies of the rotating annular sector plate with the dimensionless angular speed are analyzed in the case of the thermoelastic coupling and uncoupling. The effects of the dimensionless angular speed, the ratio of inner to outer radius, the sector angle, and the dimensionless thermoelastic coupling coefficient on transverse vibration and stability of the annular sector plate are discussed. Finally, we obtained the type of instability and corresponding critical speed of the rotating annular sector plate in the case of the thermoelastic coupling and uncoupling.

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RAABE, B. "CAUSTICS IN A CUBIC SU(2) LATTICE MODEL WITH ANTIPERIODIC BOUNDARY CONDITIONS." International Journal of Modern Physics A 04, no. 17 (October 20, 1989): 4607–26. http://dx.doi.org/10.1142/s0217751x89001977.

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In order to investigate the weak coupling limit of lattice gauge theories, it has been suggested recently to apply the semiclassical approximation to the Schrödinger equation in the Hamiltonian formalism. This method is used to study pure SU(2) gauge theory on a cube with sides of length one lattice constant and with antiperiodic boundary conditions. We show the existence of caustics, i.e. envelopes of families of classical trajectories where the ground state wave function peaks, and describe their shape.

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Lazzo, Monica, and Lorenzo Pisani. "Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient." Advanced Nonlinear Studies 18, no. 1 (February 1, 2018): 55–63. http://dx.doi.org/10.1515/ans-2017-6018.

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AbstractWe study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.

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Journal articles on the topic 'Boundary conditions and coupling'

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