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Artículos de revistas sobre el tema "Schéma Dissipatif"

Autor: Grafiati

Publicado: 30 de noviembre de 2024

Última modificación: 31 de julio de 2025

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1

Després, Bruno, and Frédéric Lagoutière. "Un schéma non linéaire anti-dissipatif pour l'équation d'advection linéaire." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 10 (1999): 939–43. http://dx.doi.org/10.1016/s0764-4442(99)80301-2.

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2

Mamouri, Saïd, and Adnan Ibrahimbegovic. "Schéma dissipatif HHT d'intégration temporelle pour un modèle de poutre en grandes rotations." Revue Européenne des Éléments Finis 10, no. 5 (2001): 607–23. http://dx.doi.org/10.1080/12506559.2001.9737562.

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3

Huang, Shiyi, and Zhixue Li. "Optimization and Application of Coal Pillar in Fully Mechanized Mining Face based on Energy Analysis." International Journal of Energy 3, no. 3 (2023): 47–51. http://dx.doi.org/10.54097/ije.v3i3.011.

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Based on the theory of energy dissipation, a numerical model of goaf excavation was established by FLAC3D based on the backflow channel of Heilong Coal Industry 2202. The dissipative energy distribution characteristics of coal pillars with different widths were studied, and the dissipative energy evolution law of surrounding rock of goaf roadway was analyzed. With the increase of the width of coal pillar, the width of elastic core zone is positively correlated with the bearing capacity. The peak value of dissipated energy density decreases with the increase of the width of coal pillar, and the

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4

Chen, Xiaowei, Mingzhan Song, and Songhe Song. "A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model." Mathematics 8, no. 8 (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

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5

Burkhardt, Ulrike, and Erich Becker. "A Consistent Diffusion–Dissipation Parameterization in the ECHAM Climate Model." Monthly Weather Review 134, no. 4 (2006): 1194–204. http://dx.doi.org/10.1175/mwr3112.1.

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Abstract The diffusion–dissipation parameterizations usually adopted in GCMs are not physically consistent. Horizontal momentum diffusion, applied in the form of a hyperdiffusion, does not conserve angular momentum and the associated dissipative heating is commonly ignored. Dissipative heating associated with vertical momentum diffusion is often included, but in a way that is inconsistent with the second law of thermodynamics. New, physically consistent, dissipative heating schemes due to horizontal diffusion (Becker) and vertical diffusion (Becker, and Boville and Bretherton) have been develo

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6

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 (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

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7

Li, Guodong, Haifeng Zhang, Xingnan Li, Lihao Guo, Yanyan Gao, and Dandan Cai. "Numerical Simulation of Stepped Spillways with Front Step Deformation." Mathematical Problems in Engineering 2021 (March 29, 2021): 1–15. http://dx.doi.org/10.1155/2021/7079606.

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In order to solve the flood discharge problem of both small- and medium-sized warping dams in the Loess Plateau, a stepped spillway scheme, based on an ecological bag, to achieve full-section water flow and energy dissipation has been proposed in this paper. The hydraulic and energy dissipation characteristics of a stepped spillway layout scheme were studied using 3D numerical simulation. As the height of the dams is low and the spillways are short, the research has shown that the traditional single-step layout scheme leads to a low overall energy dissipation rate due to the small amount of en

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8

Lin, F. B., and F. Sotiropoulos. "Assessment of Artificial Dissipation Models for Three-Dimensional Incompressible Flow Solutions." Journal of Fluids Engineering 119, no. 2 (1997): 331–40. http://dx.doi.org/10.1115/1.2819138.

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Various approaches for constructing artificial dissipation terms for three-dimensional artificial compressibility algorithms are presented and evaluated. Two, second-order accurate, central-differencing schemes, with explicitly added scalar and matrix-valued fourth-difference artificial dissipation, respectively, and a third-order accurate flux-difference splitting upwind scheme are implemented in a multigrid time-stepping procedure and applied to calculate laminar flow through a strongly curved duct. Extensive grid-refinement studies are carried out to investigate the grid sensitivity of each

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9

Zhang, Yang, Laiping Zhang, Xin He, and Xiaogang Deng. "An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids." Communications in Computational Physics 20, no. 2 (2016): 459–85. http://dx.doi.org/10.4208/cicp.190915.240216a.

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AbstractA hybrid grid based second-order finite volume algorithm has been developed for Detached-Eddy Simulation (DES) of turbulent flows. To alleviate the effect caused by the numerical dissipation of the commonly used second order upwind schemes in implementing DES with unstructured computational fluid dynamics (CFD) algorithms, an improved second-order hybrid scheme is established through modifying the dissipation term of the standard Roe's flux-difference splitting scheme and the numerical dissipation of the scheme can be self-adapted according to the DES flow field information. By Fourier

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10

Zhao, Peng, and Yu Chuan Bai. "Study on Hydraulic Characteristics and Optimization of Siphon Channel with Two Inlets in Drydock." Applied Mechanics and Materials 638-640 (September 2014): 1285–92. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.1285.

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Compared with the siphon channel with one inlet, the siphon channel with two inlets has some problems such as low efficiency of flooding. Combining with the model test of siphon channel with two inlets in a drydock, three-dimensional numerical model was built to study the hydraulic characteristics of siphon channel system. The reliability of numerical model was confirmed by comparing the calculated value and measured value of hump pressure and flooding rate. Results of turbulent kinetic energy and dissipation rate indicate that flow kinetic energy is mainly dissipated by the friction and its i

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11

Kish, Laszlo B. "Comments on “Sub-kBT Micro-Electromechanical Irreversible Logic Gate”." Fluctuation and Noise Letters 15, no. 04 (2016): 1620001. http://dx.doi.org/10.1142/s0219477516200017.

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In a recent paper, [M. López-Suárez, I. Neri and L. Gammaitoni, Sub-[Formula: see text] micro-electromechanical irreversible logic gate, Nat. Commun. 7 (2016) 12068] the authors claimed that they demonstrated sub-[Formula: see text] energy dissipation at elementary logic operations. However, the argumentation is invalid because it neglects the dominant source of energy dissipation, namely, the charging energy of the capacitance of the input electrode, which totally dissipates during the full (0-1-0) cycle of logic values. The neglected dissipation phenomenon is identical with the mechanism tha

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12

Gingrich, Todd R., Grant M. Rotskoff, Gavin E. Crooks, and Phillip L. Geissler. "Near-optimal protocols in complex nonequilibrium transformations." Proceedings of the National Academy of Sciences 113, no. 37 (2016): 10263–68. http://dx.doi.org/10.1073/pnas.1606273113.

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The development of sophisticated experimental means to control nanoscale systems has motivated efforts to design driving protocols that minimize the energy dissipated to the environment. Computational models are a crucial tool in this practical challenge. We describe a general method for sampling an ensemble of finite-time, nonequilibrium protocols biased toward a low average dissipation. We show that this scheme can be carried out very efficiently in several limiting cases. As an application, we sample the ensemble of low-dissipation protocols that invert the magnetization of a 2D Ising model

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13

Lu, Changna, Qianqian Gao, Chen Fu, and Hongwei Yang. "Finite Element Method of BBM-Burgers Equation with Dissipative Term Based on Adaptive Moving Mesh." Discrete Dynamics in Nature and Society 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/3427376.

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A finite element model is proposed for the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation with a high-order dissipative term; the scheme is based on adaptive moving meshes. The model can be applied to the equations with spatial-time mixed derivatives and high-order derivative terms. In this scheme, new variables are needed to make the equation become a coupled system, and then the linear finite element method is used to discretize the spatial derivative and the fifth-order Radau IIA method is used to discretize the time derivative. The simulations of 1D and 2D BBM-Burgers equations with h

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14

Li, Ruo, and Wei Zhong. "Improvement of the WENO-NIP Scheme for Hyperbolic Conservation Laws." Axioms 11, no. 5 (2022): 190. http://dx.doi.org/10.3390/axioms11050190.

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The WENO-NIP scheme was obtained by developing a class of L1-norm smoothness indicators based on Newton interpolation polynomial. It recovers the optimal convergence order in smooth regions regardless of critical points and achieves better resolution than the classical WENO-JS scheme. However, the WENO-NIP scheme produces severe spurious oscillations when solving 1D linear advection problems with discontinuities at long output times, and it is also very oscillatory near discontinuities for 1D Riemann problems. In this paper, we find that the spectral property of WENO-NIP exhibits the negative

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15

Appadu, A. R., and A. A. I. Peer. "Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws." Journal of Applied Mathematics 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/428681.

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We describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3. We perform a spectral analysis of its dispersive and dissipative properties when used to approximate the 1D linear advection equation and use a technique of optimisation to find the optimal cfl number of the scheme. We carry out some numerical experiments dealing with wave propagation based on the 1D linear advection and 1D Burger’s equation at some different cfl numbers and show that

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16

Cheng, Lei, Zhi Yu, and Xinxi Liu. "Elastoplastic Constitutive Model for Energy Dissipation and Crack Evolution in Rocks." Applied Sciences 15, no. 8 (2025): 4179. https://doi.org/10.3390/app15084179.

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The construction of an elastoplastic constitutive model for energy dissipation and crack evolution in rocks is crucial for accurately predicting their failure processes. This study first constructs a theoretical elastoplastic constitutive model by analyzing the mechanical properties of rocks, energy dissipation, and crack evolution under conventional triaxial compression. Subsequently, a three-dimensional finite difference scheme for the theoretical model is derived to implement a numerical algorithm. Finally, using argillaceous siltstone as an example, the validity of the theoretical model an

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17

Yang, Youfa, Feihu Li, and Feiyu Wang. "Analysis of the Seismic Performance of a Masonry Structure with an RC Frame on the First Story with a Concrete-Filled Steel Tubular Damper." Applied Sciences 13, no. 4 (2023): 2408. http://dx.doi.org/10.3390/app13042408.

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The concrete shear walls of masonry structures with an RC frame on the first story are low-rise shear walls with a height–width ratio of less than 1. The strength, stiffness, and ductility of these low-rise shear walls are not matched, resulting in poor seismic performance. Based on the idea of the passive control theory and multi-seismic defensive lines, the scheme of a masonry structure with an RC frame on the first story with a concrete-filled steel tubular (CFST) damper is proposed in this paper. To explore the seismic mitigation effect of a CFST damper applied to a masonry structure with

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18

Bašták Ďurán, Ivan, and Pascal Marquet. "Les travaux sur la turbulence : les origines, Toucans, Cost-ES0905 et influence de l'entropie." La Météorologie, no. 112 (2021): 079. http://dx.doi.org/10.37053/lameteorologie-2021-0023.

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Le schéma de turbulence Toucans est utilisé dans la configuration opérationnelle Alaro du modèle Aladin depuis début 2015. Son développement a été initié, guidé et en grande partie conçu par Jean-François Geleyn. Ce développement a commencé avec le prédécesseur du schéma Toucans, le schéma « pseudo-pronostique » en énergie cinétique turbulente, lui-même basé sur l'ancien schéma de turbulence de Louis, mais étendu dans Toucans à un schéma pronostique. Le schéma Toucans a pour objectif de traiter de manière cohérente les fonctions qui dépendent de la stabilité verticale de l'atmosphère, de l'inf

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19

Mamaev, M., L. C. G. Govia, and A. A. Clerk. "Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer." Quantum 2 (March 27, 2018): 58. http://dx.doi.org/10.22331/q-2018-03-27-58.

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We analyze a modified Bose-Hubbard model, where two cavities having on-site Kerr interactions are subject to two-photon driving and correlated dissipation. We derive an exact solution for the steady state of this interacting driven-dissipative system, and use it show that the system permits the preparation and stabilization of pure entangled non-Gaussian states, so-called entangled cat states. Unlike previous proposals for dissipative stabilization of such states, our approach requires only a linear coupling to a single engineered reservoir (as opposed to nonlinear couplings to two or more res

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20

Wang, Jingqun, Jing Li, and Lixin Tian. "Global well-posedness for the two-component Camassa–Holm equation with fractional dissipation." Asian-European Journal of Mathematics 12, no. 04 (2019): 1950051. http://dx.doi.org/10.1142/s1793557119500517.

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In this paper, we investigate the two-component Camassa–Holm equation with fractional dissipation [Formula: see text] where [Formula: see text] denotes the fractional dissipative operator which is defined by the Fourier transform [Formula: see text]. We prove the local-posedness of this equation via the Littlewood–Paley theory and the suitable iterative scheme. Furthermore, under appropriate discussions, we give the global well-posedness of the above equation.

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21

Najafiyazdi, Mostafa, Luc Mongeau, and Siva Nadarajah. "Low-dissipation low-dispersion explicit Taylor-Galerkin schemes from the Runge-Kutta kernels." International Journal of Aeroacoustics 17, no. 1-2 (2018): 88–113. http://dx.doi.org/10.1177/1475472x17743657.

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A multi-stage approach was adopted to investigate similarities and differences between the explicit Taylor-Galerkin and the explicit Runge-Kutta time integration schemes. It was found that the substitution of some, but not all, of second-order temporal derivatives in a Taylor-Galerkin scheme by additional stages makes it analogous to a Runge-Kutta scheme while preserving its original dissipative property for node-to-node oscillations. The substitution of all second-order temporal derivatives transforms Taylor-Galerkin schemes into Runge-Kutta schemes with zero attenuation at the grid cut-off.

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22

CHRISTOV, C. I. "DISSIPATIVE QUASI-PARTICLES: THE GENERALIZED WAVE EQUATION APPROACH." International Journal of Bifurcation and Chaos 12, no. 11 (2002): 2435–44. http://dx.doi.org/10.1142/s0218127402005959.

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Generalized Wave Equations containing dispersion, dissipation and energy-production (GDWE) are considered in lieu of dissipative NEE as more suitable models for two-way interaction of localized waves. The quasi-particle behavior and the long-time evolution of localized solutions upon take-over and head-on collisions are investigated numerically by means of an adequate difference scheme which represents faithfully the balance/conservation laws. It is shown that in most cases the balance between energy production/dissipation and nonlinearity plays a similar role to the classical Boussinesq balan

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23

Bailo, Rafael, José A. Carrillo, Hideki Murakawa, and Markus Schmidtchen. "Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations." Mathematical Models and Methods in Applied Sciences 30, no. 13 (2020): 2487–522. http://dx.doi.org/10.1142/s0218202520500487.

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We study an implicit finite-volume scheme for nonlinear, non-local aggregation-diffusion equations which exhibit a gradient-flow structure, recently introduced in [R. Bailo, J. A. Carrillo and J. Hu, Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient flow structure, arXiv:1811.11502 ]. Crucially, this scheme keeps the dissipation property of an associated fully discrete energy, and does so unconditionally with respect to the time step. Our main contribution in this work is to show the convergence of the method under suitable

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24

Li, Yan, Xingli Li, and Jiasen Jin. "Dissipation-Induced Information Scrambling in a Collision Model." Entropy 24, no. 3 (2022): 345. http://dx.doi.org/10.3390/e24030345.

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In this paper, we present a collision model to stroboscopically simulate the dynamics of information in dissipative systems. In particular, an all-optical scheme is proposed to investigate the information scrambling of bosonic systems with Gaussian environmental states. Varying the states of environments, in the presence of dissipation, transient tripartite mutual information of system modes may show negative value, signaling the appearance of information scrambling. We also find that dynamical indivisibility based non-Markovianity plays dual roles in affecting the dynamics of information.

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25

Materassi, Massimo, and Emanuele Tassi. "Algebrizing friction: a brief look at the Metriplectic Formalism." Intellectual Archive 1, no. 3 (2012): 45–52. http://dx.doi.org/10.32370/ia_2012_07_3.

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The formulation of Action Principles in Physics, and the introduction of the Hamiltonian framework, reduced dynamics to bracket algebra of observables. Such a framework has great potentialities, to understand the role of symmetries, or to give rise to the quantization rule of modern microscopic Physics. Conservative systems are easily algebrized via the Hamiltonian dynamics: a conserved observable H generates the variation of any quantity f via the Poisson bracket {f,H}. Recently, dissipative dynamical systems have been algebrized in the scheme presented here, referred to as metriplectic frame

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26

Chandramouli, Sathyanarayanan, Aseel Farhat, and Ziad H Musslimani. "Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws." Nonlinearity 35, no. 3 (2022): 1286–310. http://dx.doi.org/10.1088/1361-6544/ac4815.

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Abstract The time dependent spectral renormalization (TDSR) method was introduced by Cole and Musslimani as a novel way to numerically solve initial boundary value problems. An important and novel aspect of the TDSR scheme is its ability to incorporate physics in the form of conservation laws or dissipation rate equations. However, the method was limited to include a single conserved or dissipative quantity. The present work significantly extends the computational features of the method with the (i) incorporation of multiple conservation laws and/or dissipation rate equations, (ii) ability to

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27

Appadu, A. R. "Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes." Journal of Applied Mathematics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/734374.

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Three numerical methods have been used to solve the one-dimensional advection-diffusion equation with constant coefficients. This partial differential equation is dissipative but not dispersive. We consider the Lax-Wendroff scheme which is explicit, the Crank-Nicolson scheme which is implicit, and a nonstandard finite difference scheme (Mickens 1991). We solve a 1D numerical experiment with specified initial and boundary conditions, for which the exact solution is known using all these three schemes using some different values for the space and time step sizes denoted byhandk, respectively, fo

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28

Cai, Wenjun, Huai Zhang, and Yushun Wang. "Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2199 (2017): 20160798. http://dx.doi.org/10.1098/rspa.2016.0798.

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We propose a novel stable and efficient dissipation-preserving method for acoustic wave propagations in attenuating media with both correct phase and amplitude. Through introducing the conformal multi-symplectic structure, the intrinsic dissipation law and the conformal symplectic conservation law are revealed for the damped acoustic wave equation. The proposed algorithm is exactly designed to preserve a discrete version of the conformal symplectic conservation law. More specifically, two subsystems in conjunction with the original damped wave equation are derived. One is actually the conserva

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29

Gawade, Rohit D., and S. L. Nalbalwar. "A Centralized Energy Efficient Distance Based Routing Protocol for Wireless Sensor Networks." Journal of Sensors 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/8313986.

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Wireless sensor network (WSN) typically consists of a large number of low cost wireless sensor nodes which collect and send various messages to a base station (BS). WSN nodes are small battery powered devices having limited energy resources. Replacement of such energy resources is not easy for thousands of nodes as they are inaccessible to users after their deployment. This generates a requirement of energy efficient routing protocol for increasing network lifetime while minimizing energy consumption. Low Energy Adaptive Clustering Hierarchy (LEACH) is a widely used classic clustering algorith

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30

Fülöp, Tamás, Róbert Kovács, Mátyás Szücs, and Mohammad Fawaier. "Thermodynamical Extension of a Symplectic Numerical Scheme with Half Space and Time Shifts Demonstrated on Rheological Waves in Solids." Entropy 22, no. 2 (2020): 155. http://dx.doi.org/10.3390/e22020155.

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On the example of the Poynting–Thomson–Zener rheological model for solids, which exhibits both dissipation and wave propagation, with nonlinear dispersion relation, we introduce and investigate a finite difference numerical scheme. Our goal is to demonstrate its properties and to ease the computations in later applications for continuum thermodynamical problems. The key element is the positioning of the discretized quantities with shifts by half space and time steps with respect to each other. The arrangement is chosen according to the spacetime properties of the quantities and of the equation

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31

Ji, Yi, and Yufeng Xing. "A Two-Sub-Step Generalized Central Difference Method for General Dynamics." International Journal of Structural Stability and Dynamics 20, no. 07 (2020): 2050071. http://dx.doi.org/10.1142/s0219455420500716.

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This paper proposes an implicit and unconditionally stable two-sub-step composite time integration method with controllable numerical dissipation for general dynamics called the two-sub-step generalized central difference (TGCD) method. The proposed method is established by performing the generalized central difference scheme in two sub-steps as the nondissipative and dissipative parts to ensure amplitude accuracy and controllable damping, respectively. It is accurate to the second order, with the amount of numerical dissipation controlled exactly by the spectral radius [Formula: see text]. In

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32

Tallent, James R., Takao Yamashita, and Yoshito Tsuchiya. "FIELD CALCULATIONS OF WAVE ENERGY DISSIPATION AND RELATED BEACH PROFILE." Coastal Engineering Proceedings 1, no. 21 (1988): 135. http://dx.doi.org/10.9753/icce.v21.135.

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The process by which wave energy dissipates across the surf zone and its affect on the bed profile is, of course, a topic of immediate concern and debate. Various concepts of the wave energy dissipation process have been modeled, however, additional research is needed before confidence can be placed in a particular calculation scheme. In addition to the problems associated with proper model derivation a method of application and result interpretation of actual surf zone field data must be devised and understood. This is, of course, prerequisite to any realistic use of a wave energy dissipation

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33

Liu, Xu, Keyong Zhu, Yijie Wei, Ziwei Chen, Mingming Ge, and Yong Huang. "Experimental Investigation into the Effect of Fin Shapes on Heat Dissipation Performance of Phase Change Heat Sink." Aerospace 9, no. 11 (2022): 664. http://dx.doi.org/10.3390/aerospace9110664.

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In this paper, the thermal management of missile-borne components in a flight state is studied. Avoiding excessive component temperatures under the high-temperature circumstances brought by aerodynamic heat is a requirement to guarantee the equipment’s safe and reliable operation. In this work, we designed four finned shell constructions for a phase change module using the phase change temperature control method and then studied their effects on the module’s ability to dissipate heat using an experimental approach. Three sizes of 30 mm, 40 mm, and 50 mm heating pads were used to replicate heat

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34

Cho, Hyunjin, Dongsu Ryu, and Heysung Kang. "Effects of Forcing on Shocks and Energy Dissipation in Interstellar and Intracluster Turbulences." Astrophysical Journal 926, no. 2 (2022): 183. http://dx.doi.org/10.3847/1538-4357/ac41cc.

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Abstract Observations indicate that turbulence in the interstellar medium (ISM) is supersonic (M turb ≫ 1) and strongly magnetized (β ∼ 0.01–1), while in the intracluster medium (ICM) it is subsonic (M turb ≲ 1) and weakly magnetized (β ∼ 100). Here, M turb is the turbulent Mach number and β is the plasma beta. We study the properties of shocks induced in these disparate environments, including the distribution of the shock Mach number, M s , and the dissipation of the turbulent energy at shocks, through numerical simulations using a high-order, accurate code based on the weighted essentially

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35

Yilmaz, Cagri, and Eyup Sabri Topal. "Virial and Energy Dissipation in Measurement of Dynamic Acoustic Forces Using Bimodal-frequency Excitation of Micro-cantilever Array." Academic Perspective Procedia 4, no. 1 (2021): 332–40. http://dx.doi.org/10.33793/acperpro.04.01.50.

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Virial and energy dissipation, related to oscillation observable responses, possess complementary information regarding acoustic force measurements. In this paper, we introduce a mathematical framework describing the analytic relationship between oscillation observables and energy quantities at the second eigenmode in the measurement of dynamic acoustic forces. We utilize a bimodal-frequency excitation scheme for actuation of the micro-cantilever array to obtain high-sensitivity frequency bands. Herein, we analyze the virials of acoustic force interaction and the energy dissipation levels on t

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36

Frost, Miroslav, and Jan Valdman. "Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys." Mathematics 10, no. 23 (2022): 4412. http://dx.doi.org/10.3390/math10234412.

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The incremental energy minimization principle provides a compact variational formulation for evolutionary boundary problems based on constitutive models of rate-independent dissipative solids. In this work, we develop and implement a versatile computational tool for the resolution of these problems via the finite element method (FEM). The implementation is coded in the MATLAB programming language and benefits from vector operations, allowing all local energy contributions to be evaluated over all degrees of freedom at once. The monolithic solution scheme combined with gradient-based optimizati

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37

Fernández-Fidalgo, Javier, Luis Ramírez, Panagiotis Tsoutsanis, Ignasi Colominas, and Xesús Nogueira. "A reduced-dissipation WENO scheme with automatic dissipation adjustment." Journal of Computational Physics 425 (January 2021): 109749. http://dx.doi.org/10.1016/j.jcp.2020.109749.

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38

Jiang, Yi, Meiliang Mao, Xiaogang Deng, and Huayong Liu. "Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids." Advances in Applied Mathematics and Mechanics 7, no. 4 (2015): 407–29. http://dx.doi.org/10.4208/aamm.2013.m404.

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AbstractSeventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7) is extended to a new implicit large eddy simulation named HILES on stretched and curvilinear meshes. Although the conception of HILES is similar to that of monotone integrated LES (MILES), i.e., truncation error of the discretization scheme itself is employed to model the effects of unresolved scales, HDCS-E8T7 is a new high-order finite difference scheme, which can eliminate the surface conservation law (SCL) errors and has inherent dissipation. The capability of HILES is tested by solving several benc

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39

Mentaschi, Lorenzo, Michalis Vousdoukas, Tomas Fernandez Montblanc, et al. "Assessment of global wave models on regular and unstructured grids using the Unresolved Obstacles Source Term." Ocean Dynamics 70, no. 11 (2020): 1475–83. http://dx.doi.org/10.1007/s10236-020-01410-3.

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Abstract The Unresolved Obstacles Source Term (UOST) is a general methodology for parameterizing the dissipative effects of subscale islands, cliffs, and other unresolved features in ocean wave models. Since it separates the dissipation from the energy advection scheme, it can be applied to any numerical scheme or any type of mesh. UOST is now part of the official release of WAVEWATCH III, and the freely available package alphaBetaLab automates the estimation of the parameters needed for the obstructed cells. In this contribution, an assessment of global regular and unstructured (triangular) w

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40

Corr, Lawrence R., and William W. Clark. "A Novel Semi-Active Multi-Modal Vibration Control Law for a Piezoceramic Actuator." Journal of Vibration and Acoustics 125, no. 2 (2003): 214–22. http://dx.doi.org/10.1115/1.1547682.

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In this paper, a novel semi-active energy rate multi-modal vibration control technique is developed for a piezoceramic actuator coupled to a switching resistor/inductor shunt. The technique works by briefly connecting a resistor/inductor shunt to a piezoceramic actuator in order to apply the necessary signed charge to allow energy dissipation. The switch timing is determined by a control scheme that observes the rate of energy change in controlled modes. The control scheme is developed in the paper, and is simplified to enable practical implementation. This new multi-modal control law is appli

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41

Mu, Wei-Lin, Xiao-Xuan Li, and Xiao-Qiang Shao. "Cooling neutral atoms into maximal entanglement in the Rydberg blockade regime." Optics Letters 47, no. 17 (2022): 4491. http://dx.doi.org/10.1364/ol.471591.

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We propose a cooling scheme to prepare stationary entanglement of neutral atoms in the Rydberg blockade regime by the combination of periodically collective laser pumping and dissipation. In each cycle, the controlled unitary dynamics process can selectively pump atoms away from the nontarget state while keeping the target state unchanged. The subsequent dissipative process redistributes the populations of ground states through the engineered spontaneous emission. After a number of cycles, the system will eventually be stabilized into the desired steady state, independent of the initial state.

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42

Aregba–Driollet, D., J. Breil, S. Brull, B. Dubroca, and E. Estibals. "Modelling and numerical approximation for the nonconservative bitemperature Euler model." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 4 (2018): 1353–83. http://dx.doi.org/10.1051/m2an/2017007.

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This paper is devoted to the study of the nonconservative bitemperature Euler system. We firstly introduce an underlying two species kinetic model coupled with the Poisson equation. The bitemperature Euler system is then established from this kinetic model according to an hydrodynamic limit. A dissipative entropy is proved to exist and a solution is defined to be admissible if it satisfies the related dissipation property. Next, four different numerical methods are presented. Firstly, the kinetic model gives rise to kinetic schemes for the fluid system. The second approach belongs to the famil

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43

Hammerton, P. W., and D. G. Crighton. "Overturning of nonlinear acoustic waves. Part 1 A general method." Journal of Fluid Mechanics 252 (July 1993): 585–99. http://dx.doi.org/10.1017/s0022112093003891.

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We consider model nonlinear wave equations of the form ut + uux = [Hscr ](x,t;u, ux,…) arising in gasdynamics and other fields, [Hscr ] incorporating various linear mechanisms of dissipation and dispersion. If [Hscr ] includes a thermoviscous dissipation term ∈uxx, then it is generally believed that u(x,t) will remain single-valued for all t > 0 and all single-valued u(x, 0), for any ∈ > 0. The question addressed here is whether, if thermoviscous dissipation is excluded from [Hscr ], u(x, t) remains single-valued for all t > 0, or whether certain dissipative-dispersive mechanisms (suc

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44

Nochnichenko, Ihor, Oleg Yakhno, Dmytro Kostiuk, and Vladyslav Kryvosheiev. "THE TRANSFER PHENOMENON OF ENERGY IN MECHANICAL SYSTEMS OF VIBRATION DAMPING." Journal of the Technical University of Gabrovo 67 (November 20, 2023): 21–24. http://dx.doi.org/10.62853/eoqv4312.

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The article is devoted to the analysis of transfer processes from the point of view of the energy balance in the damping system. It is shown that damping systems are based on the physical process of converting mechanical energy into thermal energy, with subsequent dissipation into the environment. The full distribution of energy in damping problems takes the following form: the mechanical energy of movement is absorbed due to the hydraulic resistance of the fluid and is transformed into a dissipative component, which can reach up to 80% of the total energy in the system. The dependence of the

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45

Chen, Wei, and Song Ping Wu. "Perfectly Matched Layer as an Absorbing Boundary Condition for Computational Aero-Acoustic." Advanced Materials Research 726-731 (August 2013): 3153–58. http://dx.doi.org/10.4028/www.scientific.net/amr.726-731.3153.

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Advances in Computational Aeroacoustics (CAA) depend critically on the availability of accurate, nondispersive, least dissipative computation algorithm as well as high quality numerical boundary treatments. This paper focuses on the Perfectly Matched Layer (PML) for external boundaries in CAA. To achieve low dissipation and dispersion errors, Dispersion-Relation-Preserving (DRP) Schemes are used for spatial discretization of the acoustic equations. The classical fourth-order Runge-Kutta time scheme is applied to the acoustic equations for time discretization. Four cases are given to illustrate

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46

O’Reilly, Ossian, and Jan Nordström. "Provably non-stiff implementation of weak coupling conditions for hyperbolic problems." Numerische Mathematik 150, no. 2 (2022): 551–89. http://dx.doi.org/10.1007/s00211-021-01263-y.

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AbstractIn the context of coupling hyperbolic problems, the maximum stable time step of an explicit numerical scheme may depend on the design of the coupling procedure. If this is the case, the coupling procedure is sensitive to changes in model parameters independent of the Courant–Friedrichs–Levy condition. This sensitivity can cause artificial stiffness that degrades the performance of a numerical scheme. To overcome this problem, we present a systematic and general procedure for weakly imposing coupling conditions via penalty terms in a provably non-stiff manner. The procedure can be used

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47

Zhu, CY, YH Zhao, and L. Sun. "Seismic performance of FRP-reinforced concrete-filled thin-walled steel tube considering local buckling." Journal of Reinforced Plastics and Composites 37, no. 9 (2018): 592–608. http://dx.doi.org/10.1177/0731684418756514.

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The objective of this study is to investigate the seismic performance of fiber-reinforced polymer-reinforced concrete-filled thin-walled steel tube (CFTST). Twelve specimens with different fiber-reinforced polymer types (glass fiber-reinforced polymer and carbon fiber-reinforced polymer) and reinforcing modes were tested under constant axially compressive load and cyclic lateral load. The failure mode and lateral load versus displacement relationship for each specimen were recorded during testing. The strength, ductility, and energy dissipation capacity were analyzed accordingly. Further, a st

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48

Mai-Duy, N., N. Phan-Thien, and T. Tran-Cong. "An improved dissipative particle dynamics scheme." Applied Mathematical Modelling 46 (June 2017): 602–17. http://dx.doi.org/10.1016/j.apm.2017.01.086.

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49

Razali, Noorhelyna, Nisa Balqis Masnoor, Shahrum Abdullah, and Muhammad Faiz Hilmi Mohd Zainaphi. "Acoustic Analysis Using Symmetrised Implicit Midpoint Rule." Frattura ed Integrità Strutturale 16, no. 61 (2022): 214–29. http://dx.doi.org/10.3221/igf-esis.61.14.

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In wave propagation phenomena, time-advancing numerical methods must accurately represent the amplitude and phase of the propagating waves. The acoustic waves are non-dispersive and non-dissipative. However, the standard schemes both retain dissipation and dispersion errors. Thus, this paper aims to analyse the dissipation, dispersion, accuracy, and stability of the Runge–Kutta method and derive a new scheme and algorithm that preserves the symmetry property. The symmetrised method is introduced in the time-of-finite-difference method for solving problems in aeroacoustics. More efficient progr

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50

Melet, Angelique, Robert Hallberg, Sonya Legg, and Kurt Polzin. "Sensitivity of the Ocean State to the Vertical Distribution of Internal-Tide-Driven Mixing." Journal of Physical Oceanography 43, no. 3 (2013): 602–15. http://dx.doi.org/10.1175/jpo-d-12-055.1.

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Abstract The ocean interior stratification and meridional overturning circulation are largely sustained by diapycnal mixing. The breaking of internal tides is a major source of diapycnal mixing. Many recent climate models parameterize internal-tide breaking using the scheme of St. Laurent et al. While this parameterization dynamically accounts for internal-tide generation, the vertical distribution of the resultant mixing is ad hoc, prescribing energy dissipation to decay exponentially above the ocean bottom with a fixed-length scale. Recently, Polzin formulated a dynamically based parameteriz

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