Bibliographies thématiques / Logarithmic grids

Littérature scientifique sur le sujet « Logarithmic grids »

Auteur : Grafiati
Publié le 13 juillet 2024

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Articles de revues sur le sujet "Logarithmic grids"

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Ha, Wansoo, et Changsoo Shin. « Efficient Laplace-domain modeling and inversion using an axis transformation technique ». GEOPHYSICS 77, no 4 (1 juillet 2012) : R141—R148. http://dx.doi.org/10.1190/geo2011-0424.1.

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We tested an axis-transformation technique for modeling wave propagation in the Laplace domain using a finite-difference method. This technique enables us to use small grids near the surface and large grids at depth. Accordingly, we can reduce the number of grids and attain computational efficiency in modeling and inversion in the Laplace domain. We used a dispersion analysis and comparisons between modeled wavefields obtained on the regular and transformed axes. We demonstrated in a synthetic Laplace-domain inversion technique shows that this method is efficient and yields a result comparable to that of a Laplace-domain inversion using a regular grid. In a synthetic inversion example, the memory usage reduced to less than 33%, and the computation time reduced to 39% of those required for the regular grid case using a logarithmic transformation function.
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Nguyen, Philipp T. L., Juan C. Uribe, Imran Afgan et Dominique R. Laurence. « A Dual-Grid Hybrid RANS/LES Model for Under-Resolved Near-Wall Regions and its Application to Heated and Separating Flows ». Flow, Turbulence and Combustion 104, no 4 (23 octobre 2019) : 835–59. http://dx.doi.org/10.1007/s10494-019-00070-8.

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Abstract A hybrid RANS/LES model for high Reynolds number wall-bounded flows is presented, in which individual Reynolds-Averaged Navier-Stokes (RANS) and Large Eddy Simulations (LES) are computed in parallel on two fully overlapping grids. The instantaneous, fluctuating subgrid-scale stresses are blended with a statistical eddy viscosity model in regions where the LES grid is too coarse. In the present case, the hybrid model acts as a near-wall correction to the LES, while it retains the fluctuating nature of the flow field. The dual computation enables the LES to be run on isotropic grids with very low wall-normal and wall-parallel resolution, while the auxiliary RANS simulation is conducted on a wall-refined high-aspect ratio grid. Running distinct, progressively corrected simulations allows a clearer separation of the mean and instantaneous flow fields, compliant with the fundamentally dissimilar nature of RANS and LES. Even with the wall-nearest grid point lying far in the logarithmic layer, velocity and temperature predictions of a heated plane channel flow are corrected. For a periodic hill flow, the dual-grid system improves the boundary layer separation and velocity field prediction both for a constant-spaced and a wall-refined LES grid.
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Pianko-Oprych, Paulina. « Modelling of heat transfer in a packed bed column ». Polish Journal of Chemical Technology 13, no 4 (1 janvier 2011) : 34–41. http://dx.doi.org/10.2478/v10026-011-0046-1.

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Modelling of heat transfer in a packed bed column The CFD modelling of heat transfer in the packed bed column in the laminar and turbulent flow regimes has been presented. Three numerical grids with different densities were generated for the packed bed column. The modelling was performed with the use of the Porous Media Model for treating the flow inside a porous structure. The standard k-ε model along with the logarithmic wall functions for the turbulent flow range was used. The influence of the mesh size on the accuracy of the fluid flow was studied. Both radial and axial direction temperature distributions have been compared with the experimental data1 and the values calculated from a 2DADPF model. A good agreement between the experimental and the predicted values of the pressure drop, temperature distributions and heat transfer coefficient was obtained.
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ALLEY, KAREN E., TED A. SCAMBOS, ROBERT S. ANDERSON, HARIHAR RAJARAM, ALLEN POPE et TERRY M. HARAN. « Continent-wide estimates of Antarctic strain rates from Landsat 8-derived velocity grids ». Journal of Glaciology 64, no 244 (19 mars 2018) : 321–32. http://dx.doi.org/10.1017/jog.2018.23.

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ABSTRACTStrain rates are fundamental measures of ice flow and are used in a wide variety of glaciological applications including investigations of bed properties, calculations of basal mass balance on ice shelves, and constraints on ice rheological models. However, despite their extensive application, strain rates are calculated using a variety of methods and length scales and the details are often not specified. In this study, we compare the results of nominal and logarithmic strain-rate calculations based on a satellite-derived velocity field of the Antarctic ice sheet generated from Landsat 8 satellite data. Our comparison highlights the differences between the two common approaches in the glaciological literature. We evaluate the errors introduced by each approach and their impacts on the results. We also demonstrate the importance of choosing and specifying a length scale over which strain-rate calculations are made, which can strongly influence other derived quantities such as basal mass balance on ice shelves. Finally, we present strain-rate data products calculated using an approximate viscous length-scale with satellite observations of ice velocity for the Antarctic continent.
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Masood, Muhammad Yasir, Sana Aurangzeb, Muhammad Aleem, Ameen Chilwan et Muhammad Awais. « Demand-side load forecasting in smart grids using machine learning techniques ». PeerJ Computer Science 10 (29 avril 2024) : e1987. http://dx.doi.org/10.7717/peerj-cs.1987.

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Electrical load forecasting remains an ongoing challenge due to various factors, such as temperature and weather, which change day by day. In this age of Big Data, efficient handling of data and obtaining valuable information from raw data is crucial. Through the use of IoT devices and smart meters, we can capture data efficiently, whereas traditional methods may struggle with data management. The proposed solution consists of two levels for forecasting. The selected subsets of data are first fed into the “Daily Consumption Electrical Networks” (DCEN) network, which provides valid input to the “Intra Load Forecasting Networks” (ILFN) network. To address overfitting issues, we use classic or conventional neural networks. This research employs a three-tier architecture, which includes the cloud layer, fog layer, and edge servers. The classical state-of-the-art prediction schemes usually employ a two-tier architecture with classical models, which can result in low learning precision and overfitting issues. The proposed approach uses more weather features that were not previously utilized to predict the load. In this study, numerous experiments were conducted and found that support vector regression outperformed other methods. The results obtained were 5.055 for mean absolute percentage error (MAPE), 0.69 for root mean square error (RMSE), 0.37 for normalized mean square error (NRMSE), 0.0072 for mean squared logarithmic error (MSLE), and 0.86 for R2 score values. The experimental findings demonstrate the effectiveness of the proposed method.
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Daniels, Megan H., Katherine A. Lundquist, Jeffrey D. Mirocha, David J. Wiersema et Fotini K. Chow. « A New Vertical Grid Nesting Capability in the Weather Research and Forecasting (WRF) Model ». Monthly Weather Review 144, no 10 (octobre 2016) : 3725–47. http://dx.doi.org/10.1175/mwr-d-16-0049.1.

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Mesoscale atmospheric models are increasingly used for high-resolution (<3 km) simulations to better resolve smaller-scale flow details. Increased resolution is achieved using mesh refinement via grid nesting, a procedure where multiple computational domains are integrated either concurrently or in series. A constraint in the concurrent nesting framework offered by the Weather Research and Forecasting (WRF) Model is that mesh refinement is restricted to the horizontal dimensions. This limitation prevents control of the grid aspect ratio, leading to numerical errors due to poor grid quality and preventing grid optimization. Herein, a procedure permitting vertical nesting for one-way concurrent simulation is developed and validated through idealized cases. The benefits of vertical nesting are demonstrated using both mesoscale and large-eddy simulations (LES). Mesoscale simulations of the Terrain-Induced Rotor Experiment (T-REX) show that vertical grid nesting can alleviate numerical errors due to large aspect ratios on coarse grids, while allowing for higher vertical resolution on fine grids. Furthermore, the coarsening of the parent domain does not result in a significant loss of accuracy on the nested domain. LES of neutral boundary layer flow shows that, by permitting optimal grid aspect ratios on both parent and nested domains, use of vertical nesting yields improved agreement with the theoretical logarithmic velocity profile on both domains. Vertical grid nesting in WRF opens the path forward for multiscale simulations, allowing more accurate simulations spanning a wider range of scales than previously possible.
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Goldberg, J. J., et T. E. Jensen. « Quantitative Analysis of Metal Sequestering in Different Cell Components of Gloeocapsa alpicola in the Overplus Phase ». Microscopy and Microanalysis 6, S2 (août 2000) : 908–9. http://dx.doi.org/10.1017/s143192760003703x.

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The elemental composition of polyphosphate bodies (PPB's) and other components of the cell have previously been determined by using energy dispersive X-ray spectrometers(EDX). In this present study we perform a quantitative analysis of normally grown cells and cells that were grown in the overplus phenomenon.Cells of Gloeocapsa alpicola were grown in modified Fitzgerald's media and harvested after a logarithmic growth phase of 14 days. The overplus cells were grown, as has been previously described. The cells were exposed to 20ppm of Al, Cd, Cu, Mn, Ni, Pb, and Zn, as well as a control, for one hour. The cells were then air dried on formvar coated grids or fixed and embedded in EPON according to Luft's procedure.For Xn-ay analysis cells were first located using the TEM mode, and then the microscope was switched to the STEM mode. Analyses of cell components were carried out using the spot mode (75Kv).
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Xu, Xiaorui, et Yu-Xin Ren. « Resolving turbulent boundary layer on coarse grid using function enrichment based on variational reconstructions ». Physics of Fluids 34, no 12 (décembre 2022) : 125106. http://dx.doi.org/10.1063/5.0124478.

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An improved finite volume scheme based on variational reconstruction and function enrichment has been proposed in this paper. By incorporating the law-of-the-wall into the variational reconstruction, the proposed method can resolve turbulent flow accurately on grids much coarser than those needed by traditional methods. The usual reconstruction in a finite volume scheme assumes that the solution is belonging to a polynomial function space, which is inaccurate to resolve the velocity profile within the turbulent boundary layer unless the grid in wall-normal direction is fine enough. In the present paper, this function space is “enriched” by adding a basis function that is derived from the logarithmic law of the turbulent boundary layer. Then variational reconstruction procedure is applied to find the “best” solution belonging to the expanded function space. The advantage of the present method over the traditional wall function model is that the turbulent flow within the boundary layer is resolved rather than modeled. The algorithms and the implementations are discussed in detail. The proposed method is applied to the turbulent flow over a flat plate at a Reynolds number of [Formula: see text] and the turbulent flow over a plate with a bump at a Reynolds number of [Formula: see text]. The results of second- and third-order schemes are presented for the turbulent velocity profile and the skin friction coefficients. The numerical results suggest that this approach not only resolves the near wall turbulent accurately on very coarse grids but also reduces the computational time significantly.
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Yang, Zon-Yee, et Jian-Liang Juo. « Interpretation of sieve analysis data using the box-counting method for gravelly cobbles ». Canadian Geotechnical Journal 38, no 6 (1 décembre 2001) : 1201–12. http://dx.doi.org/10.1139/t01-052.

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In fractal theory, the fractal dimension (D) is a measure of the complexity of particle distribution in nature. It can provide a description of how much space a particle set fills. The box-counting method uses squared grids of various sizes to cover the particles to obtain a box dimension. This sequential counting concept is analogous to the sieve analysis test using stacked sieves. In this paper the box-counting method is applied to describe the particle-size distribution of gravelly cobbles. Three approaches to obtain the fractal dimension are presented. In the first approach the data obtained from a classic laboratory sieve analysis are rearranged into a double-logarithmic plot, according to a fractal model, to obtain the fractal dimension of the particle collection. In addition, an equivalent number of covered grids on each sieve during the sieve analysis are counted to produce the box dimension. According to the box-counting method concept, a photo-sieving technique used in scanning electron microscope microstructure analysis is adopted for use on gravelly cobbles in the field. The box-counting method concept is capable of explaining the sieve analysis data to clarify the information on the particle-size distribution. Using photo-sieving to produce the fractal dimension from field photographs can provide another approach for understanding the particle-size distribution. However, the representative cross-profile should be chosen carefully. The composition of the particle-size distribution for gravelly cobbles with higher D values is more complicated than those at sites with smaller D values.Key words: sieve analysis, box-counting method, fractal dimension, particle-size distribution, gravelly cobbles.
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Igel, Jonas K. H., Laura A. Ermert et Andreas Fichtner. « Rapid finite-frequency microseismic noise source inversion at regional to global scales ». Geophysical Journal International 227, no 1 (28 mai 2021) : 169–83. http://dx.doi.org/10.1093/gji/ggab210.

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SUMMARY Ambient noise cross-correlations can be used as self-consistent observables, opening novel possibilities for investigating ambient noise sources. To optimize the forward-modelling of global ambient noise cross-correlations for any given distribution of noise sources in the microseismic frequency range up to 0.2 Hz, we implement (i) pre-computed wavefields and (ii) spatially variable grids. This enables rapid inversions for microseismic noise sources based on finite-frequency source sensitivity kernels. We use this advancement to perform regional and global gradient-based iterative inversions of the logarithmic energy ratio in the causal and acausal branches of microseismic noise cross-correlations. Synthetic inversions show promising results, with good recovery of the main dominant noise sources of the target model. Data inversions for several consecutive days at the beginning of October 2019 demonstrate the capability of inverting for the spatio-temporal variations of the sources of secondary microseisms in the ocean. This paves the way for daily ambient noise source inversions which could help improve full-waveform ambient noise tomography and subsurface monitoring methods.
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Thèses sur le sujet "Logarithmic grids"

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Al-Akhrass, Dina. « Méthodes éléments finis mixtes robustes pour gérer l’incompressibilité en grandes déformations dans un cadre industriel ». Thesis, Saint-Etienne, EMSE, 2014. http://www.theses.fr/2014EMSE0733/document.

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Les simulations en mécanique du solide présentent des difficultés comme le traitement de l'incompressibilité ou les non-linéarités dues aux grandes déformations, aux lois de comportement et de contact. L'objectif principal de ce travail est de proposer des méthodes éléments finis capables de gérer l'incompressibilité en grandes déformations en utilisant des éléments de faible ordre. Parmi les approches de la littérature, les formulations mixtes offrent un cadre théorique intéressant. Dans ce travail, une formulation mixte à trois champs (déplacements, pression, gonflement) est introduite. Dans certains cas, cette formulation peut être condensée en formulation à deux champs. Cependant, il est connu que le problème discret obtenu par une approche éléments finis de type Galerkin n'hérite pas automatiquement de la condition de stabilité “inf-sup” du problème continu : les éléments finis utilisés, et notamment les ordres d'interpolation doivent être choisis de sorte à vérifier cette condition de stabilité. Cependant, il est possible de s'affranchir de cette contrainte en ajoutant des termes de stabilisation à la formulation EF Galerkin. Cette approche permet entre autres d'utiliser des ordres d'interpolation égaux. Dans ce travail, des éléments finis stables de type P2/P1 sont utilisés comme référence, et comparés à une formulation P1/P1, stabilisée soit avec une fonction bulle, soit avec une méthode VMS (Variational Multi-Scale) basée sur un espace sous-grille orthogonal à l'espace EF. Combinées à un modèle grandes déformations basé sur des déformations logarithmiques, ces approches sont d'abord validées sur des cas académiques puis sur des cas industriels
Simulations in solid mechanics exhibit difficulties as dealing with incompressibility or nonlinearities due to finite strains, constitutive laws and contact. The basic motivation of our work is to propose efficient finite element methods capable of dealing with incompressibility in finite strain context, and using low order elements. Among the approaches in the literature, mixed formulations offer an interesting theoretical framework. In this work, a three-field mixed formulation (displacement, pressure, volumetric strain) is investigated. In some cases, this formulation can be condensed in a two-field formulation. However, it is well-known that the discrete problem given by the Galerkin finite element technique, does not inherit the “inf-sup” stability condition from the continuous problem: the finite elements used, and in particular the interpolation orders must be chosen so as to satisfy this stability condition. However, it is possible to circumvent it, by adding terms stabilizing the FE Galerkin formulation. The latter approach allows the use of equal order interpolation. In this work, stable finite elements of type P2/P1 are used as reference, and compared to a P1/P1 formulation, stabilized with a bubble function, or with a VMS method (Variational Multi-Scale) based on a sub-grid-space orthogonal to the FE space. Combined to a finite strain model based on logarithmic strain, these approaches are first validated on academic cases and then on industrial cases
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Chapitres de livres sur le sujet "Logarithmic grids"

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Villalobos Castaldi, Fabiola M., Edgardo M. Felipe-Riveron et Ernesto Suaste Gómez. « A New Retinal Recognition System Using a Logarithmic Spiral Sampling Grid ». Dans Lecture Notes in Computer Science, 241–50. Cham : Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07491-7_25.

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Chankaya, Mukul, Ikhlaq Hussain et Aijaz Ahmad. « Robust Least Mean Logarithmic Square Control of Multifunctional PV Battery Grid Tied System ». Dans ICPES 2019, 59–73. Singapore : Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5374-5_5.

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Chankaya, Mukul, Aijaz Ahmad et Ikhlaq Hussain. « Adaptive Volterra Filtered-X Logarithmic Cost Least Mean lp-Norm Control for Grid-Tied PV Ultracapacitor Battery Fuel Cell System ». Dans Lecture Notes in Electrical Engineering, 63–76. Singapore : Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-1186-5_6.

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Kamil, Ismaila Adeniyi, et Sunday Oyinlola Ogundoyin. « A Privacy-Aware Data Aggregation Scheme for Smart Grid Based on Elliptic Curve Cryptography With Provable Security Against Internal Attacks ». Dans Research Anthology on Privatizing and Securing Data, 651–82. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-8954-0.ch030.

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In smart grids (SGs), smart meters (SMs) are usually deployed to collect and transmit customers' electricity consumption data in real-time to the control center. Due to the open nature of the SG communication, several privacy-preserving data aggregation schemes have been proposed to protect the privacy of customers. However, most of these schemes cannot protect against internal attackers and they are not efficient, since SMs are constrained in processing, memory, and computing capabilities. To address these problems, the authors propose a privacy-aware lightweight data aggregation scheme against internal attackers based on Elliptic Curve Cryptography (ECC). The scheme satisfies all the security requirements of SG, and supports conditional traceability, strong anonymity and autonomy. The authors demonstrate that the proposed scheme provides confidentiality based on the Computational Diffie-Hellman (CDH) assumption and unforgeability in the security model based on the intractability of the Discrete Logarithm (DL) problem. Extensive performance analysis shows that the proposed scheme is very efficient.
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Actes de conférences sur le sujet "Logarithmic grids"

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Ashraf, Nouman, Saher Javaid et Marios Lestas. « Logarithmic Utilities for Aggregator Based Demand Response ». Dans 2018 IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (SmartGridComm). IEEE, 2018. http://dx.doi.org/10.1109/smartgridcomm.2018.8587440.

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Widmer, Gisela, et Ralf Hiptmair. « Sparse Tensor Product Approximation for Radiative Transfer ». Dans ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32086.

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The stationary monochromatic radiative transfer equation is stated in five dimensions, with the intensity depending on both a position in a three-dimensional domain as well as a direction. In order to overcome the high dimensionality of the problem, we propose and analyse a new multiscale Galerkin Finite Element discretizaton that, under strong regularity assumptions on the solution, reduces the complexity of the problem to the number of degrees of freedom in space only (up to logarithmic terms). The sparse tensor product approximation adapts the idea of so-called ‘Sparse Grids’ for the product space of functions on the physical domain and the unit sphere. We present some details of the sparse tensor product construction including a convergence result that shows that, assuming strong regularity of the solution, the method converges with essentially optimal asymptotic rates while its complexity grows essentially only as that for a linear transport problem. Numerical experiments in a translation invariant setting in non-scattering media agree with predictions of theory and demonstrate the superior performance of the sparse tensor product method compared to the discrete ordinates method.
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Zhou, Dongmei, et Kenneth S. Ball. « Effects of Spatial Resolution and Box Size on Numerical Solutions of Turbulent Flows ». Dans ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77231.

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This paper has two objectives, (1) to examine the effects of spatial resolution, (2) to examine the effects of computational box size, upon turbulence statistics and the amount of drag reduction with and without the control scheme of wall oscillation. Direct numerical simulation (DNS) of the fully developed turbulent channel flow was performed at Reynolds number of 200 based on the wall-shear velocity and the channel half-width by using spectral methods. For the first objective, four different grids were applied to the same computational domain and the biggest impact was observed on the logarithmic law of mean velocity profiles and on the amount of drag reduction with 28.3% for the coarsest mesh and 35.4% for the finest mesh. Other turbulence features such as RMS velocity fluctuations, RMS vorticity fluctuations, and bursting events were either overpredicted or underpredicted through coarse grids. For the second objective, two different minimal channels and one natural full channel were studied and 3% drag reduction difference was observed between the smallest minimal channel of 39.1% and the natural full channel of 36.2%. In the near-wall region, however, the minimal channel flow did not exhibit significant difference in the mean velocity profiles and other lower-order statistics. Finally, from this systematical study, it showed that the accuracy of DNS depends more on the spanwise resolution, and it also confirmed that a minimal channel model is able to catch key structures of turbulence in the near-wall region but is much less expensive.
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Kim, Hyeun Min, et Hee Cheon No. « Analysis of Power Spectrum Density in the PWR Fuel Assembly Using the 3-D LES Turbulent Model of Fluent 6 ». Dans 12th International Conference on Nuclear Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/icone12-49297.

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Trublence-induced vibration is an important concern in the design of the spacer grids of nuclear power plants. This study addresses numerically and statistically the effects of random pressures due to turbulent flows upon the fluctuating responses to the power spectrum density in one-dimensional nuclear fuel rod supported simply by the spacer grids. The dynamic forces produced by the pressure fluctuation on the rod surface are calculated by the 3-dimensional large eddy simulation turbulent model in Fluent 6 to simulate the flow field in the same as being measured empirically via pressure transducers. To acquire response to fluctuating pressure, the mode response equation of vibration is used in case of a cylindrical rod in one-dimensional case. The first modal longitudinal joint acceptance integral including a coherence function is also an important parameter affecting the displacement in the form of the r.m.s. of modal responses along with the damping ratio. The root mean square of the lateral displacement in addition to the natural frequency is studied using the PSD and the longitudinal joint acceptance integral in a fundamental mode. The random pressure PSD on the middle point of the rod shows the typical turbulence pattern: the PSD energy decreases slightly in a low frequency region, but decreases rapidly and linearly with frequency as the frequency exceeds a certain value. The PSD in a very high frequency region is obtained assuming the slope is constant in a logarithmic graph after smoothing the PSD. It turns out that the r.m.s. displacement ranges from 15 to 40 micro-meter at the maximum value using the mode response equation under the modal damping ration ranging from 0.01 to 0.05.
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Cong Xu, M. G. Venkata, R. L. Graham, Yandong Wang, Zhuo Liu et Weikuan Yu. « SLOAVx : Scalable LOgarithmic AlltoallV Algorithm for Hierarchical Multicore Systems ». Dans 2013 13th IEEE/ACM International Symposium on Cluster, Cloud and Grid Computing (CCGrid). IEEE, 2013. http://dx.doi.org/10.1109/ccgrid.2013.22.

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Choi, S., D. J. Min, W. Chung et C. Shin. « Frequency-domain Acoustic Modeling and Inversion in the Logarithmic Grid Set ». Dans 74th EAGE Conference and Exhibition incorporating EUROPEC 2012. Netherlands : EAGE Publications BV, 2012. http://dx.doi.org/10.3997/2214-4609.20148329.

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Fontana, Claudio. « Fractal Dimension Logarithmic Differences Method for Low Voltage Series Arc Fault Detection ». Dans 2021 5th International Conference on Smart Grid and Smart Cities (ICSGSC). IEEE, 2021. http://dx.doi.org/10.1109/icsgsc52434.2021.9490436.

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Gupta, Shuvam, Ikhlaq Hussain, Bhim Singh et G. Bhuvaneswari. « A normalized least mean logarithmic square based control of SPV grid tied system ». Dans 2016 11th International Conference on Industrial and Information Systems (ICIIS). IEEE, 2016. http://dx.doi.org/10.1109/iciinfs.2016.8263032.

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Choi, Seungwoo, Dong-Joo Min, Wookeen Chung et Changsoo Shin. « Frequency-domain elastic modeling and full waveform inversion in the logarithmic grid set ». Dans SEG Technical Program Expanded Abstracts 2012. Society of Exploration Geophysicists, 2012. http://dx.doi.org/10.1190/segam2012-0290.1.

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Yang, Xiang, et Mahdi Abkar. « Grid Convergence Properties of Wall-Modeled Large-Eddy Simulations in the Asymptotic Regime ». Dans ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-116581.

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Abstract This study explores the grid convergence properties of wall-modeled large-eddy simulation (WMLES) solutions as the LES grid approaches the direct numerical simulation (DNS) grid. This aspect of WMLES is fundamental but has not been previously investigated or documented. We investigate two types of grid refinements: one where the LES/wall-model matching location is fixed at an off-wall grid point, and another where the matching location is fixed at a specific distance from the wall. In both cases, we refine the LES grid simultaneously in all three Cartesian directions, with grid resolution ranging from typical LES resolution to typical DNS resolution. Our focus is on examining the mean flow and turbulent kinetic energy as the grid refines. While the turbulence statistics consistently converge towards the DNS solution, we observe non-monotonic convergence in the mean flow statistics. We show that improving the grid resolution does not necessarily enhance the accuracy of the mean flow predictions. Specifically, we identify a negative log layer mismatch when the LES/wall-model matching location lies below the logarithmic layer, regardless of grid resolution and matching location. Finally, we demonstrate that the non-monotonic convergence of the mean flow can lead to misleading conclusions from grid convergence studies of WMLES.
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