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Journal articles on the topic 'Dissipation analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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1

Wirth, Jens. "Wave equations with time-dependent dissipation I. Non-effective dissipation." Journal of Differential Equations 222, no. 2 (March 2006): 487–514. http://dx.doi.org/10.1016/j.jde.2005.07.019.

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2

DESMARAIS, MATHIEU, and RACHID AISSAOUI. "MODELING OF KNEE ARTICULAR CARTILAGE DISSIPATION DURING GAIT ANALYSIS." Journal of Mechanics in Medicine and Biology 08, no. 03 (September 2008): 377–94. http://dx.doi.org/10.1142/s021951940800267x.

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Articular cartilage dissipates contact loads according to three dissipative mechanisms: frictional drag, intrinsic viscoelasticity, and surface friction. Estimation of dissipation due to these three mechanisms during gait is required to understand the dissipative properties of articular cartilage. Fourteen healthy subjects performed a gait analysis on treadmill. Tibiofemoral contact forces were estimated from inverse dynamic analysis and from a reductionist knee contact model. These contact forces and the results obtained from a preloading creep simulation were introduced into a biphasic poroviscoelastic articular cartilage model, and a one-dimensional confined compression was performed. Articular dissipation from each dissipative mechanism was estimated. Sensitivity analysis was performed to determine the effects of material parameters and length of the preloading simulation on the patterns of the dissipative mechanisms. Dissipative force patterns for all dissipative mechanisms were found to be similar to those of tibiofemoral contact forces. Frictional drag was found to be the dominant dissipative mechanism. The initial permeability and the viscoelastic spectrum parameters were found to have an important impact on the magnitude of the peaks of dissipative patterns. If appropriate material parameters are introduced, this model could be used to compare the difference between healthy and osteoarthritic human articular cartilage.

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LIANG, JIANFENG. "HYPERBOLIC SMOOTHING EFFECT FOR SEMILINEAR WAVE EQUATIONS AT A FOCAL POINT." Journal of Hyperbolic Differential Equations 06, no. 01 (March 2009): 1–23. http://dx.doi.org/10.1142/s0219891609001745.

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For semi-linear dissipative wave equation □u + |ut|p - 1ut = 0, we consider finite energy solutions with singularities propagating along a focusing light cone. At the tip of cone, the singularities are focused and partially smoothed out under strong nonlinear dissipation, i.e. the solution gets up to 1/2 more L2 derivative after the focus. The smoothing phenomenon is in fact the result of simultaneous action of focusing and nonlinear dissipation.

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4

Hale, Jack K. "Dissipation and Compact Attractors." Journal of Dynamics and Differential Equations 18, no. 3 (September 2, 2006): 485–523. http://dx.doi.org/10.1007/s10884-006-9021-6.

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5

Hale, Jack K. "Diffusive coupling, dissipation, and synchronization." Journal of Dynamics and Differential Equations 9, no. 1 (January 1997): 1–52. http://dx.doi.org/10.1007/bf02219051.

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6

Zhou, Wei, Xiao Xu, and Wen Xiu Hao. "Parameters Analysis of Bracing Structure with Friction Energy Dissipation System." Applied Mechanics and Materials 541-542 (March 2014): 857–60. http://dx.doi.org/10.4028/www.scientific.net/amm.541-542.857.

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Friction energy dissipating bracing is the kind of efficient system in reducing seismic of buildings. The main parameters are bracing stiffness and yielding displacement of friction energy dissipating devices in this system, which are important to the design of reducing seismic systems. Five-story steel frame building model with friction energy dissipating bracing in each floor is established, whose dynamic response of structure is studied when the value of main parameters is changed. The results show that the displacement of structure are decreased obviously and the acceleration of structure is first decreased and then increased when the bracing stiffness and yield displacement of friction energy dissipating devices are increased. In addition, the rational range of parameters is suggested for the design of friction energy dissipation systems.

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7

Lin, Xin, Huawei Wu, Zhen Liu, Baosheng Ying, Congjin Ye, Yuanjin Zhang, and Zhixiong Li. "Design and Analysis of the IGBT Heat Dissipation Structure Based on Computational Continuum Mechanics." Entropy 22, no. 8 (July 26, 2020): 816. http://dx.doi.org/10.3390/e22080816.

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With the trend of high integration and high power of insulated gate bipolar transistor (IGBT) components, strict requirements have been placed on the heat dissipation capabilities of the IGBT devices. On the basis of traditional rectangular fins, this paper developed two new types of heat-dissipating fins to meet the high requirements of heat dissipation for the IGBT devices. One is the rectangular radiator with a groove length of 2.5 mm and a width of 0.85 mm, the other is the arc radiator with the angle of 125 arc angle, 0.8 mm arc height, and 1.4 mm circle radius. After theoretically calculating the IGBT junction temperature, numerical simulations have been implemented to verify the theoretical result. The commercial CFD software, STAR-CCM+, was employed to simulate the heat dissipation characteristics of the IGBT module under different wind speeds, power, and fin structures. By analyzing the temperature field and vector field of the IGBT module, the analysis results demonstrate that the error between the simulation result and the theoretical calculation is within 5%, which proves the feasibility of the newly designed heat-dissipating fins. When the wind speed is 12.5 m/s, the power is 110 W, the fin height is 31.2 mm, and the fin thickness is 2.3 mm, the rectangular radiator can achieve the best heat dissipation performance.

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8

Zhang, Wei Qiang, Li Su, Li Fang Ye, and Jian Ping Hu. "Power Dissipation Analysis of Adiabatic Circuits and Active Leakage Power Estimation in Nanometer CMOS Processes." Advanced Materials Research 121-122 (June 2010): 97–102. http://dx.doi.org/10.4028/www.scientific.net/amr.121-122.97.

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The leakage dissipations of nano-circuits have become a critical concern. Estimating the leakage power of nano-circuits is very important in low-power design. This paper presents a new estimation technology for the active leakage dissipations of adiabatic logic circuits. Based on the power dissipation models of adiabatic circuits, active leakage dissipations are estimated by testing total leakage dissipations with additional capacitances on load nodes of the adiabatic circuits using HSPICE simulations. Taken as an example, the estimation for dynamic and active leakage power dissipations of CPAL (Complementary Pass-transistor Adiabatic Logic) circuits is demonstrated using the proposed estimation technology. The simulation results show that the proposed estimation technology can accurately estimate the active leakage dissipations of CPAL circuits with an accepted error over a wide range of frequencies.

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9

Tian, Bo, and Yi-Tian Gao. "Painlevé Analysis and Symbolic Computation for a Nonlinear Schrödinger Equation with Dissipative Perturbations." Zeitschrift für Naturforschung A 51, no. 3 (March 1, 1996): 167–70. http://dx.doi.org/10.1515/zna-1996-0305.

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The nonlinear Schrödinger equations with small dissipative perturbations are of current importance in modeling weakly nonlinear dispersive media with dissipation. In this paper, the Painlevé formulation with symbolic computation is presented for one of those equations. An auto-Bäcklund transformation and some exact solutions are explicitly constructed

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10

Golzar, Farzin G., Geoffrey W. Rodgers, and J. Geoffrey Chase. "Spectral Analysis and Experimental Validation of a Low-Damage Hybrid Dissipater." Key Engineering Materials 763 (February 2018): 1007–13. http://dx.doi.org/10.4028/www.scientific.net/kem.763.1007.

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Supplemental dissipation plays a vital role in reducing structural damage, repair costs, and downtime due to earthquakes. A hybrid dissipation mechanism has been developed to offer repeatable and consistent energy dissipation, while maintaining significant re-centring capability. This dissipation device consists of a viscous damper (VD) and a friction ring-spring (RS) combining rate-dependent dissipative behaviour of the viscous device with rate-independent dissipation and re-centring from the ring-spring. This approach, ensures simultaneous displacement reduction and increased self-centring potential. Spectral analysis of a single-degree-of-freedom structure has been carried out to outline the efficacy of the device and delineate the impact and contribution of each component to the overall device behaviour. A prototype hybrid device is tested comprising a viscous damper with silicone fluid and a ring-spring with peak design force of 26kN. These components are connected in a parallel configuration through a fixed outer shell and a moving coupled shaft. Experimental proof-of-concept testing for the hybrid device and single ring-spring includes sinusoidal displacement inputs with amplitude of 25 and 30 mm, loading frequencies of [0.25-1.75] Hz, and ring-spring pre-load of 21 and 34%. The overall device has a peak response force of 32kN at input velocities of ~200 mm/s. At this speed, ~20kN comes from the ring spring and ~12kN from the viscous damper. Further tests on the single viscous device are conducted using silicone oils with viscosities of 100, 500, and 1000 cSt and peak input velocities of [50-300] mm/s to evaluate the impact of viscosity on the damping force. These experimental tests are used to delineate the function of the individual components of the device and assess the behaviour of the hybrid combination, in comparison to the predicted analytical behaviour.

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11

Jamróz, Grzegorz. "On measures of accretion and dissipation for solutions of the Camassa–Holm equation." Journal of Hyperbolic Differential Equations 14, no. 04 (December 2017): 721–54. http://dx.doi.org/10.1142/s0219891617500242.

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We investigate the measures of dissipation and accretion related to the weak solutions of the Camassa–Holm equation. Demonstrating certain novel properties of nonunique characteristics, we prove a new representation formula for these measures and conclude about their structural features, such as the fact that they are singular with respect to the Lebesgue measure. We apply these results to gain new insights into the structure of weak solutions, proving in particular that measures of accretion vanish for dissipative solutions of the Camassa–Holm equation.

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12

Dasi, Lakshmi P., Kerem Pekkan, Hiroumi D. Katajima, and Ajit P. Yoganathan. "Functional analysis of Fontan energy dissipation." Journal of Biomechanics 41, no. 10 (July 2008): 2246–52. http://dx.doi.org/10.1016/j.jbiomech.2008.04.011.

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13

Shi, Yunlong, Baoshu Yin, Hongwei Yang, Dezhou Yang, and Zhenhua Xu. "Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/643652.

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We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, andβeffect are important factors to form the envelope solitary Rossby waves. By employing trial function method, the asymptotic solution of dissipative nonlinear Schrödinger equation is derived. Based on the solution, the effect of dissipation on the evolution of envelope solitary Rossby wave is also discussed. The results show that the dissipation causes a slow decrease of amplitude of envelope solitary Rossby waves and a slow increase of width, while it has no effect on the propagation velocity. That is quite different from the KdV-type solitary waves. It is notable that dissipation has certain influence on the carrier frequency.

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14

Bisi, Marzia, José A. Cañizo, and Bertrand Lods. "Entropy dissipation estimates for the linear Boltzmann operator." Journal of Functional Analysis 269, no. 4 (August 2015): 1028–69. http://dx.doi.org/10.1016/j.jfa.2015.05.002.

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15

Akagi, Goro, and Ulisse Stefanelli. "Weighted energy-dissipation functionals for doubly nonlinear evolution." Journal of Functional Analysis 260, no. 9 (May 2011): 2541–78. http://dx.doi.org/10.1016/j.jfa.2010.12.027.

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16

V.Saminathan, V. Saminathan, and Dr K. Paramasivam Dr.K.Paramasivam. "Analysis of the Effect of Temperature and Power Dissipation Variations in SRAM Cells." International Journal of Scientific Research 2, no. 12 (June 1, 2012): 164–66. http://dx.doi.org/10.15373/22778179/dec2013/53.

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17

Bona, Jerry L., and Jiahong Wu. "Zero-Dissipation Limit for Nonlinear Waves." ESAIM: Mathematical Modelling and Numerical Analysis 34, no. 2 (March 2000): 275–301. http://dx.doi.org/10.1051/m2an:2000141.

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18

Rudd, T., J. T. Gallagher, D. Ron, R. J. Nichols, and D. G. Fernig. "A gravimetric analysis of protein–oligosaccharide interactions." Biochemical Society Transactions 31, no. 2 (April 1, 2003): 349–51. http://dx.doi.org/10.1042/bst0310349.

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Interactions between an immobilized, heparin-derived octasaccharide and growth factors have been observed using a quartz crystal microbalance-dissipation (QCM-D). This device can measure the amount of growth factors binding to the octasaccharide surface and also the change of dissipation of the surface. Dissipation is a measure of how the adhered material ‘damps’ the surface vibrations. The octasaccharides were anchored through their reducing ends by the intermediary of the alkanethiol molecule, which covalently binds to the crystal surface through the thiol group. As expected, heparin sulphate binding growth factors bound to the octasaccharide, but the change in mass of growth factor bound per unit change in dissipation is different for the different growth factors. Suggesting that the structures of the various growth factor–octasaccharide complexes are different, therefore, indicates that the change in dissipation can give insights into the structure, orientation and packing of the oligosaccharide-growth factor complexes.

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19

Hoyos Velasco, Carlos Ildefonso, Fredy Edimer Hoyos Velasco, and Julian M. Londoño Monsalve. "Nonlinear Dynamics Analysis of a Dissipation System with Time Delay." International Journal of Bifurcation and Chaos 28, no. 06 (June 15, 2018): 1830018. http://dx.doi.org/10.1142/s0218127418300185.

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This work is concerned with the bifurcational analysis of nonlinear dissipative systems affected by time delay. This issue typically arises when testing highly nonlinear energy dissipation devices, commonly used in vibration control of civil structures, and carried out experimentally via a hybrid technique known as Real-Time Dynamic Substructuring (RTDS) simulation. Unfortunately, the RTDS simulation is affected by time delay in the control feedback loop due to the actuator response, sensor reading and numerical processing. In essence, this paper focuses on studying the nonlinear dynamics induced by the interaction of a dynamical system with the nonlinear damper affected by the presence of time delay. Given the complexity of the system, numerical analysis is carried out in the context of bifurcational behavior, and bifurcation diagrams are computed using a continuation method. The bifurcational analysis presented here, provides a characterization of delay-induced nonlinear phenomena created by the interaction of the dynamical system with a delayed nonlinear response of the dissipation device. Nonlinear dynamics are also identified and characterized for different damper types when varying the damper model parameters, leading to the identification of system conditions at which the testing arrangement and test specimens can exhibit undesired dynamics.

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20

Et. al., Srilakshmi Kaza,. "Performance Analysis of Adiabatic Vedic Multipliers." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 5 (April 11, 2021): 1429–35. http://dx.doi.org/10.17762/turcomat.v12i5.2039.

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Energy dissipation and reliability are the two important design constraints in the high performance processor design. With the advancements in the IC manufacturing and reduced feature sizes the energy dissipation increases in exponential manner at the lower technology nodes. So, there is a need to design energy-efficient and reliable circuits and systems. The reliability with temperature is also one of the major challenges in today’s smart systems as they are operated in harsh environments. Most of the works till date analyzed the reliability with respect to DC constraints. The basic operation in the high performance Digital Signal Processing (DSP) is the multiplication is used to simplify various operations like convolution, filtering and correlation. In this work, a Vedic multiplier with 4x4 size is implemented with FinFET based energy recovery Modified PFAL (MPFAL) logic at 45 nm technology node. The designed multiplier performance is analyzed and compared with our earlier work in terms of energy dissipation and delay. The results indicate a reduction of 55% in energy dissipation over ECRL based Vedic multiplier. Linear variation of power dissipation with temperature in the order of pW shows that design MPFAL Vedic muliplier is more reliable compared to CMOS multiplier.

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21

Taniue, Shogo, and Shuichi Kawashima. "Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory." Journal of Hyperbolic Differential Equations 18, no. 02 (June 2021): 453–92. http://dx.doi.org/10.1142/s0219891621500144.

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We study symmetric hyperbolic systems with memory-type dissipation and investigate their dissipative structures under Craftsmanship condition. We treat two cases: memory-type diffusion and memory-type relaxation, and observe that the dissipative structures of these two cases are essentially different. Namely, we show that the dissipative structure of the system with memory-type diffusion is of the standard type, while that of the system with memory-type relaxation is of the regularity-loss type. Moreover, we investigate the asymptotic profiles of the solutions for [Formula: see text]. In the diffusion case, it is proved that the systems with memory and without memory have the same asymptotic profile for [Formula: see text], which is given by the superposition of linear diffusion waves. We have the same result also in the relaxation case under enough regularity assumption on the initial data.

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22

Dong, Shuo, Cheng Wei Huang, and Cheng Shen. "Modal Analysis on Steel Frame-Energy Dissipation Support Structure." Advanced Materials Research 859 (December 2013): 253–56. http://dx.doi.org/10.4028/www.scientific.net/amr.859.253.

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The energy dissipation device is put on the support bar of the steel frame structure so as to form the energy dissipation support. The structural performance can be adjusted and improved through the additional stiffness and damping so as to realize the structural damping result. As there are many elements that can affect the structural earthquake anti-seismic performance, modal analysis which is taken as the basic contents, is conducted on the application of the common support and steel frame structure of energy dissipation support and the analysis is also conducted on the influences of energy dissipation to the vibration and cycle of the steel frame so as to lay a good foundation for the analysis on the anti-seismic performance of steel frame-energy dissipation support structural system.

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23

Bagheri, Ghader, Payam Ashtari, and Farhad Behnamfar. "Rigid-Plastic Analysis of Seismic Resistant T-Frame considering Moment-Shear Interaction." Shock and Vibration 2021 (July 6, 2021): 1–12. http://dx.doi.org/10.1155/2021/8844039.

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To select a seismic resistant system, in addition to strength and stiffness, ductility and energy dissipation are important to be considered. Structures have nonlinear behavior under the influence of moderate and strong earthquakes. One of the primary aims in designing seismic resistant structures is to prevent the formation of undesirable collapse mechanisms such as the collapse in only a few storeys of the structure that leads to low energy dissipation. In order to achieve a global collapse mechanism, modern seismic codes provide simple rules for design, which is called the hierarchy criteria. Although these simple criteria could prevent the formation of a soft storey mechanism, they could not lead to an optimal global collapse mechanism. In these mechanisms, the energy dissipation zones include all the yielding zones such as beams, while all other parts of the structure have remained in the elastic range. TRF (T-resisting frame) is an innovative lateral resistant system introduced for architectural reasons and to provide more energy dissipating capability. This system has several collapse mechanisms due to the moment, shear, or moment-shear behavior of its members. In this paper, within the framework of the theory of plastic mechanism control, the rigid-plastic analysis of the TRF system to achieve the desired collapse mechanism is used by considering the moment-shear interaction. According to these analyses, which are performed on a single storey frame, simple hierarchy criteria are developed to create the desired collapse mechanism. Also, these criteria prevent undesired collapse mechanisms in order to have more energy dissipation and more ductility. Finally, the validity of the proposed criteria has been verified by the pushover analysis.

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24

Civelek, Cem. "Analysis of a coupled physical discrete time system by means of extended Euler-Lagrange difference equation and discrete dissipative canonical equation." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 6 (October 24, 2019): 1810–27. http://dx.doi.org/10.1108/compel-04-2019-0163.

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Purpose The purpose of this study is the application of the following concepts to the time discrete form. Variational Calculus, potential and kinetic energies, velocity proportional Rayleigh dissipation function, the Lagrange and Hamilton formalisms, extended Hamiltonians and Poisson brackets are all defined and applied for time-continuous physical processes. Such processes are not always time-continuously observable; they are also sometimes time-discrete. Design/methodology/approach The classical approach is developed with the benefit of giving only a short table on charge and flux formulation, as they are similar to the classical case just like all other formulation types. Moreover, an electromechanical example is represented as well. Findings Lagrange and Hamilton formalisms together with the velocity proportional (Rayleigh) dissipation function can also be used in the discrete time case, and as a result, dissipative equations of generalized motion and dissipative canonical equations in the discrete time case are obtained. The discrete formalisms are optimal approaches especially to analyze a coupled physical system which cannot be observed continuously. In addition, the method makes it unnecessary to convert the quantities to the other. The numerical solutions of equations of dissipative generalized motion of an electromechanical (coupled) system in continuous and discrete time cases are presented. Originality/value The formalisms and the velocity proportional (Rayleigh) dissipation function aforementioned are used and applied to a coupled physical system in time-discrete case for the first time to the best of the author’s knowledge, and systems of difference equations are obtained depending on formulation type.

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25

Yang, Wanrong, Quansen Jiu, and Jiahong Wu. "The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation." Journal of Differential Equations 266, no. 1 (January 2019): 630–52. http://dx.doi.org/10.1016/j.jde.2018.07.046.

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26

Chow, Shui-Nee, Luca Dieci, Wuchen Li, and Haomin Zhou. "Entropy Dissipation Semi-Discretization Schemes for Fokker–Planck Equations." Journal of Dynamics and Differential Equations 31, no. 2 (April 2, 2018): 765–92. http://dx.doi.org/10.1007/s10884-018-9659-x.

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27

LeMesurier, Brenton J. "Multi-focusing and sustained dissipation in the dissipative nonlinear Schrödinger equation." Mathematics and Computers in Simulation 55, no. 4-6 (March 2001): 503–17. http://dx.doi.org/10.1016/s0378-4754(00)00307-4.

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28

Xie, Cong, and Jian Wei Zhang. "Analysis and Improvement of LEACH Routing Algorithm." Advanced Materials Research 457-458 (January 2012): 1536–43. http://dx.doi.org/10.4028/www.scientific.net/amr.457-458.1536.

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The insufficiencies of LEACH routing algorithm that the energy dissipation is discordance and cluster head is unevenly-distributed in whole network lead to excessive energy dissipation. Aiming at that, this paper purposes an improvement algorithm named LEACH-CREFM based on zoning network into sub-regions. The new algorithm adopts thresh setting relate to area of sub-region and multiple hop data transition between sub-regions as approach of reducing energy dissipation. The analysis of performance contrast between LEACH and LEACH-CREFM is presented. All conclusions have been confirmed by simulations on ns 2.27.

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29

Tandon, S. "Dissipation kinetics and residues analysis of pendimethalin in soil and maize under field conditions." Plant, Soil and Environment 61, No. 11 (June 6, 2016): 496–500. http://dx.doi.org/10.17221/406/2015-pse.

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30

Aldudak, Fettah, and Martin Oberlack. "Dissipation element analysis in turbulent channel flow." Journal of Fluid Mechanics 694 (February 2, 2012): 332–51. http://dx.doi.org/10.1017/jfm.2011.549.

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AbstractIn order to analyse the geometric structure of turbulent flow patterns and their statistics for various scalar fields we adopt the dissipation element (DE) approach and apply it to turbulent channel flow by employing direct numerical simulations (DNS) of the Navier–Stokes equations. Gradient trajectories starting from any point in a scalar field $\phi (x, y, z, t)$ in the directions of ascending and descending scalar gradients will always reach an extremum, i.e. a minimum or a maximum point, where $\boldsymbol{\nabla} \phi = 0$. The set of all points and trajectories belonging to the same pair of extremal points defines a dissipation element. Extending previous DE approaches, which were only applied to homogeneous turbulence, we here focus on exploring the influence of solid walls on the dissipation element distribution. Employing group-theoretical methods and known symmetries of Navier–Stokes equations, we observe for the core region of the flow, i.e. the region beyond the buffer layer, that the probability distribution function (p.d.f.) of the DE length exhibits an invariant functional form, in other words, self-similar behaviour with respect to the wall distance. This is further augmented by the scaling behaviour of the mean DE length scale which shows a linear scaling with the wall distance. The known proportionality of the mean DE length and the Taylor length scale is also revisited. Utilizing a geometric analogy we give the number of DE elements as a function of the wall distance. Further, it is observed that the DE p.d.f. is rather insensitive, i.e. invariant with respect both to the Reynolds number and the actual scalar $\phi $ which has been employed for the analysis. In fact, a very remarkable degree of isotropy is observed for the DE p.d.f. in regions of high shear. This is in stark contrast to classical Kolmogorov scaling laws which usually exhibit a strong dependence on quantities such as shear, anisotropy and Reynolds number. In addition, Kolmogorov’s scaling behaviour is in many cases only visible for very large Reynolds numbers. This is rather different in the present DE approach which applies also for low Reynolds numbers. Moreover, we show that the DE p.d.f. agrees very well with the log-normal distribution and derive a log-normal p.d.f. model taking into account the wall-normal dependence. Finally, the conditional mean scalar differences of the turbulent kinetic energy at the extremal points of DE are examined. We present a power law with scaling exponent of $2/ 3$ known from Kolmogorov’s hypothesis for the centre of the channel and a logarithmic law near the wall.

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31

de Oliveira, H. P., and Rudnei O. Ramos. "Dynamical system analysis for inflation with dissipation." Physical Review D 57, no. 2 (January 15, 1998): 741–49. http://dx.doi.org/10.1103/physrevd.57.741.

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32

Wang, Lipo, and Norbert Peters. "Dissipation element analysis of turbulent scalar fields." Physica Scripta T132 (December 2008): 014006. http://dx.doi.org/10.1088/0031-8949/2008/t132/014006.

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33

Qian, Xiaodong, and Zhixin Li. "Analysis of entransy dissipation in heat exchangers." International Journal of Thermal Sciences 50, no. 4 (April 2011): 608–14. http://dx.doi.org/10.1016/j.ijthermalsci.2010.11.004.

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34

Yang, Han, Sumeet Kumar Sinha, Yuan Feng, David B. McCallen, and Boris Jeremić. "Energy dissipation analysis of elastic–plastic materials." Computer Methods in Applied Mechanics and Engineering 331 (April 2018): 309–26. http://dx.doi.org/10.1016/j.cma.2017.11.009.

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35

Shen, Simin, Zhongdong Qian, and Bin Ji. "Numerical Analysis of Mechanical Energy Dissipation for an Axial-Flow Pump Based on Entropy Generation Theory." Energies 12, no. 21 (October 31, 2019): 4162. http://dx.doi.org/10.3390/en12214162.

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Mechanical energy dissipation is a major problem affecting hydraulic machinery especially under partial-load conditions. Owing to limitations of traditional methods in evaluating mechanical energy dissipation, entropy generation theory is introduced to study mechanical energy dissipation with varying discharge and tip clearance intuitively through numerical simulations in an axial-flow pump. Results show that the impeller and diffuser are the main domains of mechanical energy dissipation, respectively accounting for 35.32%–55.51% and 32.61%–20.42% of mechanical energy dissipation throughout the flow passage. The mechanical energy dissipation of the impeller has a strong relation with the hump characteristic and becomes increasingly important with decreasing discharge. Areas of high turbulent dissipation in the impeller are mainly concentrated near the blades’ suction sides, and these regions, especially areas near the shroud, extend with decreasing discharge. When the pump enters the hump region, the distributions of turbulent dissipation near the shroud become disordered and expand towards the impeller’s inlet side. Unstable flows, like flow separation and vortices, near the blades’ suction sides lead to the high turbulent dissipation in the impeller and hump characteristic. Turbulent dissipation at the tip decreases from the blade leading edge to trailing edge, and regions of high dissipation distribute near the leading edge of the blade tip side. An increase in tip clearance for the same discharge mainly increases areas of high turbulent dissipation near the shroud and at the tip of the impeller, finally reducing pump performance.

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36

Zillinger, Christian. "On enhanced dissipation for the Boussinesq equations." Journal of Differential Equations 282 (May 2021): 407–45. http://dx.doi.org/10.1016/j.jde.2021.02.029.

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He, Xijun, Dinghui Yang, Xueyuan Huang, and Xiao Ma. "A numerical dispersion-dissipation analysis of discontinuous Galerkin methods based on quadrilateral and triangular elements." GEOPHYSICS 85, no. 3 (May 1, 2020): T101—T121. http://dx.doi.org/10.1190/geo2019-0109.1.

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The dispersive and dissipative properties of numerical methods are important for numerical modeling. We have evaluated a numerical dispersion-dissipation analysis for two discontinuous Galerkin methods (DGMs) — the flux-based DGM (FDGM) and the interior penalty DGM (IP DGM) for scalar wave equation. The semidiscrete analysis based on the plane-wave analysis is conducted for quadrilateral and triangular elements. Two kinds of triangular elements are taken into account. The fully discrete analysis for each method is conducted by incorporating a classic third-order total variation diminishing (TVD) Runge-Kutta (RK) time discretization. Our results indicate that FDGM produces smaller numerical dispersion than IP DGM, but it introduces more numerical dissipation. Notably, the two methods have different local convergence orders for numerical dispersion and dissipation. The anisotropy properties for different mesh types can also be identified. Several numerical experiments are carried out that verify some theoretical findings. The experiments exhibit that the numerical error introduced by FDGM is less than that introduced by IP DGM whereas the storage and calculation time of FDGM are greater than that of IP DGM. Overall, our work indicates that when both methods adopt third TVD RK time discretization, the computational efficiency of FDGM is slightly larger than IP DGM.

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HANSEN, JAKOB, ALEXEI KHOKHLOV, and IGOR NOVIKOV. "PROPERTIES OF FOUR NUMERICAL SCHEMES APPLIED TO A NONLINEAR SCALAR WAVE EQUATION WITH A GR-TYPE NONLINEARITY." International Journal of Modern Physics D 13, no. 05 (May 2004): 961–82. http://dx.doi.org/10.1142/s021827180400502x.

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We study stability, dispersion and dissipation properties of four numerical schemes (Itera-tive Crank–Nicolson, 3rd and 4th order Runge–Kutta and Courant–Fredrichs–Levy Nonlinear). By use of a Von Neumann analysis we study the schemes applied to a scalar linear wave equation as well as a scalar nonlinear wave equation with a type of nonlinearity present in GR-equations. Numerical testing is done to verify analytic results. We find that the method of lines (MOL) schemes are the most dispersive and dissipative schemes. The Courant–Fredrichs–Levy Nonlinear (CFLN) scheme is most accurate and least dispersive and dissipative, but the absence of dissipation at Nyquist frequency, if fact, puts it at a disadvantage in numerical simulation. Overall, the 4th order Runge–Kutta scheme, which has the least amount of dissipation among the MOL schemes, seems to be the most suitable compromise between the overall accuracy and damping at short wavelengths.

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SEOANE, JESÚS M., and MIGUEL A. F. SANJUÁN. "ESCAPING DYNAMICS IN THE PRESENCE OF DISSIPATION AND NOISE IN SCATTERING SYSTEMS." International Journal of Bifurcation and Chaos 20, no. 09 (September 2010): 2783–93. http://dx.doi.org/10.1142/s0218127410027350.

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Chaotic scattering in open Hamiltonian systems is a problem of fundamental interest with applications in several branches of physics. In this paper we analyze the effects of adding external perturbations such as dissipation and noise in chaotic scattering phenomena. Our main result is the exponential decay rate of the particles in the scattering region when the system is affected by dissipation and noise. In the case of dissipation the particles escape more slowly from the scattering region than in the conservative case. However, in the noisy case, the particles escape faster from the scattering region as compared to the noiseless case. Moreover, we analyze the fractal dimension of the set of singularities of the scattering function for the dissipative and the conservative cases. As a result of our analysis we have found that a scaling law exists between the exponential decay rate of the particles and the dissipative parameter, and that the fractal dimension for the noisy case is the unity.

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Kletschowski, Thomas. "THEORETICAL ANALYSIS OF SEMI-ACTIVE NOISE CONTROL." VOLUME 39, VOLUME 39 (2021): 152. http://dx.doi.org/10.36336/akustika202139152.

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significant reduction of disturbing noise can be achieved by passive, semi-active and fully active control approaches. Passive noise treatments such as dynamic vibration absorber are very robust and can be applied to obtain a broadband performance. Active noise control systems are designed to control harmonic or broadband noise. They are very effective, if the control volume is small as known from single-input/single-output systems used in active headphones. However, if distributed control is required, the control profit is not scalable, because the required multiple-input/multiple output systems must be adjusted to specific acoustic modes as known from the active control of propeller-aircraft interior noise. Semi-active control that is based on the principle of dissipation allows to combine several single-input/single-output systems without coupling. Thus semi-active approaches are capable to solve the problem of scalability. The present paper reports on a specific approach that is based on a dynamic absorber attached to a vibrating structure and coupled with a dissipating electrical network. The electrical components of this network can be adjusted to the mechanical impedance to realize dissipation. To focus on the performance principle, the theoretical investigations are presented in a dimensionless analysis.

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Chen, Fu Jiang, Hong Xia Li, and Ze Qi Zhu. "Energy Dissipation Analysis on Unloading Confining Pressure Failure Process of Rock Material." Applied Mechanics and Materials 256-259 (December 2012): 398–401. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.398.

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The energy dissipation law of rock material are analyzed comprehensively by studying the energy exchange between test machine and rock sample in two typical stress-strain curve of unloading tests. The relationships between energy, deformation and confining pressure in unloading confining pressure failure process are expected to be found based on energy dissipation analysis. It shows that the energy dissipation is greatly related to the failure characteristic of rock material and confining pressure. Both two unloading tests show that energy dissipation has a nonlinear relationship with time and linear relationship with lateral deformation. The much the confining pressure is in unloading condition, the more the energy dissipation is under the same lateral deformation, and the obviously the rock sample suffers brittle failure.

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Wang, Lin Feng, Hong Mei Tang, and Hong Kai Chen. "Energy Analysis for Energy Dissipation Shed-Tunnel’s Rockfall Impact Signal." Advanced Materials Research 261-263 (May 2011): 1054–57. http://dx.doi.org/10.4028/www.scientific.net/amr.261-263.1054.

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Shed-tunnel is one of common prevention measures along the highway. First, denoised the rockfall impact signal when the rock impact the ordinary shed-tunnel and the energy dissipation shed-tunnel by the wavelet theory. The calculation result indicated that the wavelet theory’s denoise effect is very good. Then, pick-up each frequency band’s the rockfall impact signal, and analysed the energy for each frequency band’s impact signal. The result indicated that the energy dissipation shed-tunnel’s impact energy concentrate in the low frequency part. There are only 0.4% impact energy in the high frequency part. Besides, the energy dissipation shed-tunnel’s impact energy in the low frequency part is higher than the the ordinary shed-tunnel, and the energy dissipation shed-tunnel’s impact energy depressed velocity when the impact frequency increase is fast than the ordinary shed-tunnel. So the energy dissipation shed-tunnel’s design must consider the low frequency impact,and could ignore the high frequency impact.

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Chen, Xiaowei, Mingzhan Song, and Songhe Song. "A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model." Mathematics 8, no. 8 (July 28, 2020): 1238. http://dx.doi.org/10.3390/math8081238.

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We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach. First, the Ginzburg–Landau equation is transformed into an equivalent formulation which possesses the quadratic energy dissipation law. After the space-discretization of the Fourier pseudo-spectral method, the semi-discrete system is proved to be energy dissipative. Using diagonally implicit Runge–Kutta scheme, the semi-discrete system is integrated in the time direction. Then the presented full-discrete scheme preserves the energy dissipation, which is beneficial to the numerical stability in long-time simulations. Several numerical experiments are provided to illustrate the effectiveness of the proposed scheme and verify the theoretical analysis.

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Francfort, Gilles A., and Pierre M. Suquet. "Homogenization and mechanical dissipation in thermoviscoelasticity." Archive for Rational Mechanics and Analysis 96, no. 3 (September 1986): 265–93. http://dx.doi.org/10.1007/bf00251909.

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Alexandre, R., L. Desvillettes, C. Villani, and B. Wennberg. "Entropy Dissipation and Long-Range Interactions." Archive for Rational Mechanics and Analysis 152, no. 4 (June 1, 2000): 327–55. http://dx.doi.org/10.1007/s002050000083.

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Chen, Yun, Nai Long Zhu, and Shuai Gao. "An Energy Dissipation Device Based on Shape Memory Alloys for Frame Structures." Applied Mechanics and Materials 580-583 (July 2014): 1591–94. http://dx.doi.org/10.4028/www.scientific.net/amm.580-583.1591.

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This paper proposes an energy dissipation device based on shape memory alloys (SMA) for frame structures. By setting anchorage device below and near the inflection point of the first storey columns, a set of force cable and energy dissipation cable using SMA are installed symmetrically in the anchorage device and the bottom of them fixed in the ground. Analytical study including the push-over and time-history analysis were investigated by ANSYS finite element program to a new CFST frame and an ordinary CFST frame. Studies have shown that the device can effectively control the structural displacement response and acceleration response, dissipating large amounts of earthquake energy. Therefore, the energy dissipation devices had a better value and prospects in engineering.

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Stokols, Logan F. "L2-type contraction of viscous shocks for scalar conservation laws." Journal of Hyperbolic Differential Equations 18, no. 02 (June 2021): 271–92. http://dx.doi.org/10.1142/s0219891621500089.

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We study small shocks of 1D scalar viscous conservation laws with uniformly convex flux and nonlinear dissipation. We show that such shocks are [Formula: see text] stable independently of the strength of the dissipation, even with large perturbations. The proof uses the relative entropy method with a spatially-inhomogeneous pseudo-norm.

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Strain, Robert M., and Maja Tasković. "Entropy dissipation estimates for the relativistic Landau equation, and applications." Journal of Functional Analysis 277, no. 4 (August 2019): 1139–201. http://dx.doi.org/10.1016/j.jfa.2019.04.007.

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Metcalfe, Jason, and Makoto Nakamura. "General quasilinear wave equations with localized dissipation in exterior domains." Journal of Differential Equations 233, no. 1 (February 2007): 313–44. http://dx.doi.org/10.1016/j.jde.2006.08.019.

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He, Wei, Fengshou Liu, Jie Ji, Shengyao Zhang, and Hongbing Chen. "Safety Analysis of Solar Module under Partial Shading." International Journal of Photoenergy 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/907282.

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Hot spot often occurs in a module when the qualities of solar cells mismatch and bypass diodes are proved to be an efficient alternative to reduce the effect of hot spot. However, these principles choosing a diode are based on the parameters of bypass diodes and PV cells without consideration of the maximum heating power of the shaded cell, which may cause serious consequences. On this basis, this paper presents a new approach to investigate partially shaded cells in different numbers of PV cells and different shading scenarios, including inhomogeneous illumination among solar cells and incomplete shading in one cell, which innovatively combines the same cells or divides one affected cell into many small single cells and then combines the same ones, and analyzes the shaded cell. The results indicate that the maximum power dissipation of the shaded cell occurs at short-circuit conditions. With the number of solar cells increasing, the shaded cell transfers from generating power to dissipating power and there is a maximum point of power dissipation in different shading situations that may lead to severe hot spot. Adding up the heat converted from solar energy, the heating power can be higher. In this case, some improvements about bypass diodes are proposed to reduce hot spot.

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