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Journal articles on the topic 'Energy Conserving Methods'

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Author: Grafiati
Published: 10 March 2023

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1

Reich, Sebastian. "Enhancing energy conserving methods." BIT Numerical Mathematics 36, no. 1 (March 1996): 122–34. http://dx.doi.org/10.1007/bf01740549.

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2

Bilbao, Stefan, Michele Ducceschi, and Fabiana Zama. "Explicit exactly energy-conserving methods for Hamiltonian systems." Journal of Computational Physics 472 (January 2023): 111697. http://dx.doi.org/10.1016/j.jcp.2022.111697.

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3

Barletti, L., L. Brugnano, G. Frasca Caccia, and F. Iavernaro. "Energy-conserving methods for the nonlinear Schrödinger equation." Applied Mathematics and Computation 318 (February 2018): 3–18. http://dx.doi.org/10.1016/j.amc.2017.04.018.

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4

Cheng, Yingda, Andrew J. Christlieb, and Xinghui Zhong. "Energy-conserving discontinuous Galerkin methods for the Vlasov–Maxwell system." Journal of Computational Physics 279 (December 2014): 145–73. http://dx.doi.org/10.1016/j.jcp.2014.08.041.

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5

Xing, Yulong, Ching-Shan Chou, and Chi-Wang Shu. "Energy conserving local discontinuous Galerkin methods for wave propagation problems." Inverse Problems & Imaging 7, no. 3 (2013): 967–86. http://dx.doi.org/10.3934/ipi.2013.7.967.

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6

Zolghadr Jahromi, H., and B. A. Izzuddin. "Energy conserving algorithms for dynamic contact analysis using Newmark methods." Computers & Structures 118 (March 2013): 74–89. http://dx.doi.org/10.1016/j.compstruc.2012.07.012.

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7

Cheng, Yingda, Andrew J. Christlieb, and Xinghui Zhong. "Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system." Journal of Computational Physics 256 (January 2014): 630–55. http://dx.doi.org/10.1016/j.jcp.2013.09.013.

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8

Fu, Guosheng, and Chi-Wang Shu. "Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems." Journal of Computational Physics 394 (October 2019): 329–63. http://dx.doi.org/10.1016/j.jcp.2019.05.050.

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9

Brugnano, Luigi, Juan I. Montijano, and Luis Rández. "High-order energy-conserving Line Integral Methods for charged particle dynamics." Journal of Computational Physics 396 (November 2019): 209–27. http://dx.doi.org/10.1016/j.jcp.2019.06.068.

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10

Li, Xiaole, Weizhou Sun, Yulong Xing, and Ching-Shan Chou. "Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation." Journal of Computational Physics 401 (January 2020): 109002. http://dx.doi.org/10.1016/j.jcp.2019.109002.

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11

Liu, Yong, Chi-Wang Shu, and Mengping Zhang. "Superconvergence of Energy-Conserving Discontinuous Galerkin Methods for Linear Hyperbolic Equations." Communications on Applied Mathematics and Computation 1, no. 1 (March 2019): 101–16. http://dx.doi.org/10.1007/s42967-019-0006-y.

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12

Sanderse, B. "Energy-conserving Runge–Kutta methods for the incompressible Navier–Stokes equations." Journal of Computational Physics 233 (January 2013): 100–131. http://dx.doi.org/10.1016/j.jcp.2012.07.039.

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13

Tang, Renxuan, and Dongfang Li. "On Symmetrical Methods for Charged Particle Dynamics." Symmetry 13, no. 9 (September 3, 2021): 1626. http://dx.doi.org/10.3390/sym13091626.

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In this paper, we use the scalar auxiliary variable (SAV) approach to rewrite the charged particle dynamics as a new family of ODE systems. The systems own a conserved energy. It is shown that a family of symmetrical methods is energy-conserving for a new ODE system but may not be for the original systems. Moreover, the methods have high-order accuracy. Numerical results are given to confirm the theoretical findings.
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14

Cao, Waixiang, Dongfang Li, and Zhimin Zhang. "Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations." Communications in Computational Physics 21, no. 1 (December 5, 2016): 211–36. http://dx.doi.org/10.4208/cicp.120715.100516a.

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AbstractThis paper is concerned with numerical solutions of the LDG method for 1D wave equations. Superconvergence and energy conserving properties have been studied. We first study the superconvergence phenomenon for linear problems when alternating fluxes are used. We prove that, under some proper initial discretization, the numerical trace of the LDG approximation at nodes, as well as the cell average, converge with an order 2k+1. In addition, we establishk+2-th order andk+1-th order superconvergence rates for the function value error and the derivative error at Radau points, respectively. As a byproduct, we prove that the LDG solution is superconvergent with an orderk+2 towards the Radau projection of the exact solution. Numerical experiments demonstrate that in most cases, our error estimates are optimal, i.e., the error bounds are sharp. In the second part, we propose a fully discrete numerical scheme that conserves the discrete energy. Due to the energy conserving property, after long time integration, our method still stays accurate when applied to nonlinear Klein-Gordon and Sine-Gordon equations.
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15

Amodio, Pierluigi, Luigi Brugnano, and Felice Iavernaro. "Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics." Advances in Computational Mathematics 41, no. 4 (November 14, 2014): 881–905. http://dx.doi.org/10.1007/s10444-014-9390-z.

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16

Ma, Chupeng, Liqun Cao, and Yanping Lin. "Energy Conserving Galerkin Finite Element Methods for the Maxwell--Klein--Gordon System." SIAM Journal on Numerical Analysis 58, no. 2 (January 2020): 1339–66. http://dx.doi.org/10.1137/17m1158690.

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17

Semenov, Vadim A., Andrey V. Kravtsov, and Benedikt Diemer. "Entropy-conserving Scheme for Modeling Nonthermal Energies in Fluid Dynamics Simulations." Astrophysical Journal Supplement Series 261, no. 2 (July 20, 2022): 16. http://dx.doi.org/10.3847/1538-4365/ac69e1.

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Abstract We compare the performance of energy-based and entropy-conserving schemes for modeling nonthermal energy components, such as unresolved turbulence and cosmic rays, using idealized fluid dynamics tests and isolated galaxy simulations. While both methods are aimed to model advection and adiabatic compression or expansion of different energy components, the energy-based scheme numerically solves the nonconservative equation for the energy density evolution, while the entropy-conserving scheme uses a conservative equation for modified entropy. Using the standard shock tube and Zel’dovich pancake tests, we show that the energy-based scheme results in a spurious generation of nonthermal energy on shocks, while the entropy-conserving method evolves the energy adiabatically to machine precision. We also show that, in simulations of an isolated L ⋆ galaxy, switching between the schemes results in ≈20%–30% changes of the total star formation rate and a significant difference in morphology, particularly near the galaxy center. We also outline and test a simple method that can be used in conjunction with the entropy-conserving scheme to model the injection of nonthermal energies on shocks. Finally, we discuss how the entropy-conserving scheme can be used to capture the kinetic energy dissipated by numerical viscosity into the subgrid turbulent energy implicitly, without explicit source terms that require calibration and can be rather uncertain. Our results indicate that the entropy-conserving scheme is the preferred choice for modeling nonthermal energy components, a conclusion that is equally relevant for Eulerian and moving-mesh fluid dynamics codes.
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18

Yang, He. "High-Order Energy and Linear Momentum Conserving Methods for the Klein-Gordon Equation." Mathematics 6, no. 10 (October 12, 2018): 200. http://dx.doi.org/10.3390/math6100200.

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The Klein-Gordon equation is a model for free particle wave function in relativistic quantum mechanics. Many numerical methods have been proposed to solve the Klein-Gordon equation. However, efficient high-order numerical methods that preserve energy and linear momentum of the equation have not been considered. In this paper, we propose high-order numerical methods to solve the Klein-Gordon equation, present the energy and linear momentum conservation properties of our numerical schemes, and show the optimal error estimates and superconvergence property. We also verify the performance of our numerical schemes by some numerical examples.
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19

Wimmer, Golo A., Colin J. Cotter, and Werner Bauer. "Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction." SMAI journal of computational mathematics 7 (January 14, 2022): 267–300. http://dx.doi.org/10.5802/smai-jcm.77.

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20

Dall'Amico, M., S. Endrizzi, S. Gruber, and R. Rigon. "An energy-conserving model of freezing variably-saturated soil." Cryosphere Discussions 4, no. 3 (August 11, 2010): 1243–76. http://dx.doi.org/10.5194/tcd-4-1243-2010.

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Abstract. In this paper we provide a method for solving the energy equation in freezing soil. The solver is linked with the solution of Richards equation, and therefore able to approximate water movement near the liquid-solid phase transition. The equations show non-linear characteristics causing oscillatory behavior in the solution close to the phase transition, when normal methods of iterative integration, as Newton or Picard, are used. Thus, a globally convergent Newton method has been implemented to achieve convergence. The method is tested by comparison with an analytical solution to the Stefan problem and by comparison with experimental data derived from literature.
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21

Owen, J. Michael, and Mikhail Shashkov. "Arbitrary Lagrangian Eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods." Journal of Computational Physics 273 (September 2014): 520–47. http://dx.doi.org/10.1016/j.jcp.2014.05.023.

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22

Guo, Li, and Yan Xu. "Energy Conserving Local Discontinuous Galerkin Methods for the Nonlinear Schrödinger Equation with Wave Operator." Journal of Scientific Computing 65, no. 2 (December 28, 2014): 622–47. http://dx.doi.org/10.1007/s10915-014-9977-z.

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23

Grote, Marcus J., Michaela Mehlin, and Stefan A. Sauter. "Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation." SIAM Journal on Numerical Analysis 56, no. 2 (January 2018): 994–1021. http://dx.doi.org/10.1137/17m1121925.

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24

Eldred, Christopher, and David Randall. "Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods – Part 1: Derivation and properties." Geoscientific Model Development 10, no. 2 (February 17, 2017): 791–810. http://dx.doi.org/10.5194/gmd-10-791-2017.

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Abstract. The shallow water equations provide a useful analogue of the fully compressible Euler equations since they have similar characteristics: conservation laws, inertia-gravity and Rossby waves, and a (quasi-) balanced state. In order to obtain realistic simulation results, it is desirable that numerical models have discrete analogues of these properties. Two prototypical examples of such schemes are the 1981 Arakawa and Lamb (AL81) C-grid total energy and potential enstrophy conserving scheme, and the 2007 Salmon (S07) Z-grid total energy and potential enstrophy conserving scheme. Unfortunately, the AL81 scheme is restricted to logically square, orthogonal grids, and the S07 scheme is restricted to uniform square grids. The current work extends the AL81 scheme to arbitrary non-orthogonal polygonal grids and the S07 scheme to arbitrary orthogonal spherical polygonal grids in a manner that allows for both total energy and potential enstrophy conservation, by combining Hamiltonian methods (work done by Salmon, Gassmann, Dubos, and others) and discrete exterior calculus (Thuburn, Cotter, Dubos, Ringler, Skamarock, Klemp, and others). Detailed results of the schemes applied to standard test cases are deferred to part 2 of this series of papers.
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25

Sanderse, B. "Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods." Journal of Computational Physics 421 (November 2020): 109736. http://dx.doi.org/10.1016/j.jcp.2020.109736.

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26

Chou, Ching-Shan, Chi-Wang Shu, and Yulong Xing. "Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media." Journal of Computational Physics 272 (September 2014): 88–107. http://dx.doi.org/10.1016/j.jcp.2014.04.009.

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27

OUDIH, M. R., M. FELLAH, and N. H. ALLAL. "NUMBER CONSERVING APPROACH IN QUASIPARTICLE REPRESENTATION." International Journal of Modern Physics E 12, no. 01 (February 2003): 109–23. http://dx.doi.org/10.1142/s0218301303001193.

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An exact number conserving approach is formulated in the quasiparticle representation to show the effect of the particle-number projection on the ground and the first 0+ excited states. It is applied to the two-level pairing model, which allows an exact solution and a comparison to other approaches. The present method has proved to be an advantageous alternative as compared to the BCS and to the usual methods used to restore the particle number symmetry.
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28

Amodio, Pierluigi, Luigi Brugnano, and Felice Iavernaro. "Continuous-Stage Runge–Kutta Approximation to Differential Problems." Axioms 11, no. 5 (April 21, 2022): 192. http://dx.doi.org/10.3390/axioms11050192.

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In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge–Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretation in terms of continuous-stage Runge–Kutta methods. In this review paper, we recall this aspect and extend it to higher-order differential problems.
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29

Acharya, Shivasankar, S. N. Jena, R. K. Paikaray, B. S. Rath, L. M. Garnayak, S. K. Dwibedi, and B. K. Mohapatra. "Energy Dynamics of Rice Production in Eastern India as Influenced by Resource Conserving Establishment Methods and Weed Management." International Journal of Bio-resource and Stress Management 13, no. 11 (November 30, 2022): 1287–95. http://dx.doi.org/10.23910/1.2022.3204.

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The field experiment was conducted during the wet seasons of 2020 and 2021, at the Agronomy Research Farm of Odisha University of Agriculture and Technology, Bhubaneswar, Odisha, India to assess the input energy requirements and output energy production of establishment methods and weed management in rice. The treatments included three establishment methods viz., Dry-direct seeded rice (Dry-DSR), Wet-DSR and puddled transplanted rice (PTR) in main plot and six weed management treatments viz., hand weeding, oxadiargyl @ 90 g ha-1 as pre-emergence (PE) followed by (fb.) penoxsulam+cyhalofop @ 135 g ha-1 as post-emergence (PoE), oxadiargyl @ 90 g ha-1 (PE) fb. triafamone+ethoxysulfuron @ 60 g ha-1 (PoE), oxadiargyl @ 90 g ha-1 (PE) fb. bispyribac sodium @ 25 g ha-1+fenoxaprop @ 56 g ha-1 (PoE), brown manuring (DSR) / green manuring (PTR) fb. 2,4-D at 25 DAS/T and unweeded control in subplot. Dry-DSR utilised 3.2% less input energy than Wet-DSR. PTR recorded highest energy use efficiency (11.88), energy efficiency ratio (5.78), energy productivity (0.393 kg MJ-1) and energy profitability (10.88), followed by Dry-DSR and Wet-DSR. The highest specific energy (4.59 MJ kg-1) was estimated in Dry-DSR, differing significantly with other establishment techniques. Among weed management options, the highest energy use efficiency (11.89) and energy profitability (10.89) was recorded with application of oxadiargyl (PE) fb. penoxsulam+cyhalofop (PoE), being at par with hand weeding, oxadiargyl (PE) fb. bispyribac sodium+fenoxaprop (PoE). Oxadiargyl fb. penoxsulam+cyhalofop under Dry-DSR was highly economic energy efficient, but at par with oxadiargyl fb. bispyribac+fenoxaprop under the same establishment technique.
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30

Dall'Amico, M., S. Endrizzi, S. Gruber, and R. Rigon. "A robust and energy-conserving model of freezing variably-saturated soil." Cryosphere 5, no. 2 (June 1, 2011): 469–84. http://dx.doi.org/10.5194/tc-5-469-2011.

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Abstract. Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the energy equation shows strongly non-linear characteristics and is often difficult to handle with normal methods of iterative integration. Therefore in this paper we propose a method for solving the energy equation in freezing soil. The solver is linked with the solution of Richards equation, and is able to approximate water movement in unsaturated soils and near the liquid-solid phase transition. A globally-convergent Newton method has been implemented to achieve robust convergence of this scheme. The method is tested by comparison with an analytical solution to the Stefan problem and by comparison with experimental data derived from the literature.
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31

Brugnano, Luigi, Chengjian Zhang, and Dongfang Li. "A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator." Communications in Nonlinear Science and Numerical Simulation 60 (July 2018): 33–49. http://dx.doi.org/10.1016/j.cnsns.2017.12.018.

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32

Brugnano, Luigi, Gianmarco Gurioli, and Yajuan Sun. "Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg–de Vries equation." Journal of Computational and Applied Mathematics 351 (May 2019): 117–35. http://dx.doi.org/10.1016/j.cam.2018.10.014.

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33

Cui, Ming, Yanfei Li null, and Changhui Yao. "Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations." Advances in Applied Mathematics and Mechanics 15, no. 3 (June 2023): 602–22. http://dx.doi.org/10.4208/aamm.oa-2021-0261.

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34

Brugnano, Luigi, Gianluca Frasca-Caccia, and Felice Iavernaro. "Line Integral Solution of Hamiltonian PDEs." Mathematics 7, no. 3 (March 18, 2019): 275. http://dx.doi.org/10.3390/math7030275.

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In this paper, we report on recent findings in the numerical solution of Hamiltonian Partial Differential Equations (PDEs) by using energy-conserving line integral methods in the Hamiltonian Boundary Value Methods (HBVMs) class. In particular, we consider the semilinear wave equation, the nonlinear Schrödinger equation, and the Korteweg–de Vries equation, to illustrate the main features of this novel approach.
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35

Liang, X., A. Q. M. Khaliq, and Y. Xing. "Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations." Communications in Computational Physics 17, no. 2 (January 23, 2015): 510–41. http://dx.doi.org/10.4208/cicp.060414.190914a.

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AbstractThis paper studies a local discontinuous Galerkin method combined with fourth order exponential time differencing Runge-Kutta time discretization and a fourth order conservative method for solving the nonlinear Schrödinger equations. Based on different choices of numerical fluxes, we propose both energy-conserving and energy-dissipative local discontinuous Galerkin methods, and have proven the error estimates for the semi-discrete methods applied to linear Schrödinger equation. The numerical methods are proven to be highly efficient and stable for long-range soliton computations. Extensive numerical examples are provided to illustrate the accuracy, efficiency and reliability of the proposed methods.
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36

Zhuang, Haoran, Jian Zhang, Sivaparthipan C. B., and Bala Anand Muthu. "Sustainable Smart City Building Construction Methods." Sustainability 12, no. 12 (June 17, 2020): 4947. http://dx.doi.org/10.3390/su12124947.

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In a global world, the human population invariably increases while resources gradually decrease as cities and towns constantly consume resources to satisfy their needs and requirements. At this point, it is very necessary to focus on making these urban areas more sustainable and greener. The need for some advanced and automated systems improves the situation, which leads to the innovation of smart cities. Smart city is the concept that helps in developing sustainable cities via optimized resource utilization methods. In smart city development, various sensing technologies can be used that can sense and utilize natural resources in better ways, like storing rainwater to use afterward, intelligent and smart control system, smart infrastructure monitoring system, smart healthcare system, smart transportation system, and smart system for energy consumption and generation by various facilities. To make the city smart and sustainable with efficient energy consumption, we propose renewable solar and wind energy-enabled hybrid heating and cooling HVAC-DHW (heating, ventilation, and air conditioning-Domestic Hot Water) system in which energy consumption is evaluated using optimized NARX-ANN and fuzzy controller based on user needs, dynamic behavior of the atmospheric environment, and spatial distribution of energy supply. To achieve the proposed goal, first, via sensor, heating and cooling effect of environment and building is sensed and these sensed inputs are then fed into deep-learning-based NARX-ANN that forecast internal building temperature. This forecasted temperature is fed into a fuzzy controller for optimizing output based on user demand. This processed information leads to energy distribution based on their requirement using a smart energy sensing system. Based on the experimentation result and performance analysis, it was found that the proposed system is more robust and has a high control response in comparison to the existing systems with minimum energy consumption. The analytical results support the feasibility of the proposed framework architecture to facilitate energy conserving in smart city buildings.
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37

Feng, Xiaobing, Buyang Li, and Shu Ma. "High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation." SIAM Journal on Numerical Analysis 59, no. 3 (January 2021): 1566–91. http://dx.doi.org/10.1137/20m1344998.

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38

Gao, Longfei, and David Keyes. "Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner." Journal of Computational Physics 378 (February 2019): 665–85. http://dx.doi.org/10.1016/j.jcp.2018.11.031.

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39

Crawford, Zane D., Scott O'Connor, John Luginsland, and B. Shanker. "Rubrics for Charge Conserving Current Mapping in Finite Element Electromagnetic Particle in Cell Methods." IEEE Transactions on Plasma Science 49, no. 11 (November 2021): 3719–32. http://dx.doi.org/10.1109/tps.2021.3122410.

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40

Sun, Huo Ching, Yann Chang Huang, and Hsing Feng Chen. "Energy Information Communication Technologies for Smart Home Applications." Applied Mechanics and Materials 302 (February 2013): 679–85. http://dx.doi.org/10.4028/www.scientific.net/amm.302.679.

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This paper reviews previous and recent trends in energy information communication technologies (EICT) for smart home applications. Relevant EICT publications on smart homes are reviewed. Smart home and smart home energy management system (SHEMS) related concepts are described, followed by a thorough review of SHEMS and EICT technologies. As is increasingly recognized, EICT is a highly effective means of monitoring, controlling, and conserving energy consumption in smart home applications. Additionally, various EICT approaches are surveyed to evaluate the feasibility of smart home applications by discussing historical developments and introducing advanced EICT methods. Importantly, in addition to surveying the latest trends, this study contributes to efforts to further advanced EICT applications in smart homes.
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41

Zhang, Huimin, Runsen Zhang, Yufeng Xing, and Pierangelo Masarati. "On the optimization of n-sub-step composite time integration methods." Nonlinear Dynamics 102, no. 3 (October 24, 2020): 1939–62. http://dx.doi.org/10.1007/s11071-020-06020-8.

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AbstractA family of n-sub-step composite time integration methods, which employs the trapezoidal rule in the first $$n-1$$ n - 1 sub-steps and a general formula in the last one, is discussed in this paper. A universal approach to optimize the parameters is provided for any cases of $$n\ge 2$$ n ≥ 2 , and two optimal sub-families of the method are given for different purposes. From linear analysis, the first sub-family can achieve nth-order accuracy and unconditional stability with controllable algorithmic dissipation, so it is recommended for high-accuracy purposes. The second sub-family has second-order accuracy, unconditional stability with controllable algorithmic dissipation, and it is designed for heuristic energy-conserving purposes, by preserving as much low-frequency content as possible. Finally, some illustrative examples are solved to check the performance in linear and nonlinear systems.
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42

Ma, Feng, and Yan Qin. "Research Progress of Phase Change Materials on Heat Transfer." Applied Mechanics and Materials 456 (October 2013): 456–60. http://dx.doi.org/10.4028/www.scientific.net/amm.456.456.

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Energy storage plays important roles in conserving available energy and improving its utilization, since many energy sources are intermittent in nature. Energy storage, in particular the thermal energy storage becomes increasingly popular and technically attractive as one of the possible solutions for energy conservation and leveling of energy demand patterns. Because of advantages of high energy storage density and nearly constant temperature in phase change process, phase change materials (PCMs) have been becoming one of the key researches. This paper reviews the application of PCMs on heat transfer and the development trend in future is prospected. In view of the problem of low thermal conductivity, some heat transfer enhancement methods on PCMs are reviewed, such as adding mental, fins, graphite, carbon brushes, etc.
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43

Wang, Jiarui, and Michael C. Hillman. "Temporal stability of collocation, Petrov–Galerkin, and other non-symmetric methods in elastodynamics and an energy conserving time integration." Computer Methods in Applied Mechanics and Engineering 393 (April 2022): 114738. http://dx.doi.org/10.1016/j.cma.2022.114738.

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44

Lapenta, Giovanni. "Advances in the Implementation of the Exactly Energy Conserving Semi-Implicit (ECsim) Particle-in-Cell Method." Physics 5, no. 1 (January 18, 2023): 72–89. http://dx.doi.org/10.3390/physics5010007.

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The energy-conserving semi-implicit (ECsim) method presented by the author in 2017, is a particle-in-cell (PIC) algorithm for the simulation of plasmas. Energy conservation is achieved within a semi-implicit formulation that does not require any non-linear solver. A mass matrix is introduced to linearly express the particle-field coupling. With the mass matrix, the algorithm preserves energy conservation to machine precision. The construction of the mass matrix is the central nature of the method and also the main cost of the computational cycle. Here, three methods that modify the construction of the mass matrix are analyzed. First, the paper considers how the sub-cycling of the particle motion modifies the mass matrix. Second, a form of smoothing that reduces the noise while retaining exact energy conservation is introduced. Finally, an approximation of the mass matrix is discussed that transforms the ECsim scheme to the implicit moment method.
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45

Pagliantini, C., G. Manzini, O. Koshkarov, G. L. Delzanno, and V. Roytershteyn. "Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations." Computer Physics Communications 284 (March 2023): 108604. http://dx.doi.org/10.1016/j.cpc.2022.108604.

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46

Chang, Andres, Alexander Farsan, Alberto Carrillo Pineda, Cynthia Cummis, and Chris Weber. "Comment on ‘From the Paris Agreement to corporate climate commitments: evaluation of seven methods for setting “science-based” emission targets’." Environmental Research Letters 17, no. 3 (March 1, 2022): 038002. http://dx.doi.org/10.1088/1748-9326/ac548c.

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Abstract A study from Bjørn et al (2021) suggests that methods to allocate emissions to companies proportionally to their economic growth are consistent with equity-related principles and are effective at conserving a global emissions budget while the science based targets initiative’s (SBTi’s) absolute contraction approach (ACA) fulfills neither qualification. Here we identify four areas of concern with the study and propose a more comprehensive approach to science based targets (SBT) method evaluation. We respond that first, the authors’ method characterization does not differentiate between the emissions allocation that occurs in mitigation scenarios and that which is normatively caused by method formulae, and it misinterprets the drivers of emissions allocation in scenarios. Second, we note that the authors evaluate a method formula for ACA that does not match its use by the SBTi. Third, we acknowledge that allocating emissions based on economic growth can yield incoherent results by comparison to published climate change mitigation scenarios and suggest the authors also evaluate whether methods are effective at conserving sub-global emissions budgets. Fourth, we observe that although the study is framed as an evaluation of SBT methods, it relies almost entirely on assessments of one characteristic. We conclude by proposing a set of principles that should be met by effective SBT methods and a high-level assessment of SBT methods against these principles.
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Lashkari, Chen, and Musilek. "Energy Management for Smart Homes—State of the Art." Applied Sciences 9, no. 17 (August 21, 2019): 3459. http://dx.doi.org/10.3390/app9173459.

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Smart home is a concept that aims to enhance the comfort of residents and facilitate household activities. The smart home is an application of ubiquitous computing which can provide the user with context-aware automated or assistive services in the form of ambient intelligence, remote control of home appliances, or automation. Smart homes attempt to integrate smartness into homes to guarantee the residents’ convenience, safety, and security, while conserving the energy. The capabilities of a smart home in the context of different applications, have been scrutinized for this investigation. Different proposed architectures, protocols, and infrastructures have been taken into consideration. As the data management process is a vital part of a smart home system, many procedures of data collection, storage, and analysis have been surveyed. Methods of data acquisition has also been discussed. Existing challenges, pros, and cons of proposed schemes along with future perspectives of smart homes are identified in this report, which is intended to promote future research directions.
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Blondel, Frédéric. "Brief communication: A momentum-conserving superposition method applied to the super-Gaussian wind turbine wake model." Wind Energy Science 8, no. 2 (February 8, 2023): 141–47. http://dx.doi.org/10.5194/wes-8-141-2023.

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Abstract. Accurate wind farm flow predictions based on analytical wake models are crucial for wind farm design and layout optimization. In this regard, wake superposition methods play a key role and remain a substantial source of uncertainty. Recently, new models based on mass and momentum conservation have been proposed in the literature. In the present work, such methods are extended to the superposition of super-Gaussian-type velocity deficit models, allowing the full wake velocity deficit estimation and design of closely packed wind farms.
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CHUNG, ERIC T., YALCHIN EFENDIEV, and RICHARD L. GIBSON. "AN ENERGY-CONSERVING DISCONTINUOUS MULTISCALE FINITE ELEMENT METHOD FOR THE WAVE EQUATION IN HETEROGENEOUS MEDIA." Advances in Adaptive Data Analysis 03, no. 01n02 (April 2011): 251–68. http://dx.doi.org/10.1142/s1793536911000842.

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Seismic data are routinely used to infer in situ properties of earth materials on many scales, ranging from global studies to investigations of surficial geological formations. While inversion and imaging algorithms utilizing these data have improved steadily, there are remaining challenges that make detailed measurements of the properties of some geologic materials very difficult. For example, the determination of the concentration and orientation of fracture systems is prohibitively expensive to simulate on the fine grid and, thus, some type of coarse-grid simulations are needed. In this paper, we describe a new multiscale finite element algorithm for simulating seismic wave propagation in heterogeneous media. This method solves the wave equation on a coarse grid using multiscale basis functions and a global coupling mechanism to relate information between fine and coarse grids. Using a mixed formulation of the wave equation and staggered discontinuous basis functions, the proposed multiscale methods have the following properties. • The total wave energy is conserved. • Mass matrix is diagonal on a coarse grid and explicit energy-preserving time discretization does not require solving a linear system at each time step. • Multiscale basis functions can accurately capture the subgrid variations of the solution and the time stepping is performed on a coarse grid. We discuss various subgrid capturing mechanisms and present some preliminary numerical results.
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Jia, Shizhen, Yi Liao, Yuqing Xiao, Bo Zhang, Xiangbin Meng, and Ke Qin. "Methods of Conserving and Managing Cultural Heritage in Classical Chinese Royal Gardens Based on 3D Digitalization." Sustainability 14, no. 7 (March 30, 2022): 4108. http://dx.doi.org/10.3390/su14074108.

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In this study, we aimed to implement information obtained and refined from garden elements in heritage conservation, monitoring, and management to precisely construct an information model of classical Chinese gardens, including information on the garden entity, garden space, and garden attributes, etc., and to improve the management efficiency of classical Chinese royal gardens. Three-dimensional laser scanning technology and point cloud information were used to accurately collect and process digital information from classical Chinese royal gardens. After classifying and processing the point cloud data, correlations therein could be further assessed and used to greatly improve the accuracy and management efficiency of spatial information. To provide a more convenient solution for the subsequent conservation and management of landscape heritage, a method for establishing a three-dimensional digital information database and a full life-cycle application management platform for classical Chinese royal gardens is proposed in this research. This method has broad applications for the digital conservation and management of cultural heritage.
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