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Dynamic nonlinear algebraic models with scale-similarity dynamic procedure for large-eddy simulation of turbulence
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作者 Zelong Yuan Yunpeng Wang +1 位作者 Chenyue Xie Jianchun Wang 《Advances in Aerodynamics》 2022年第1期304-326,共23页
A dynamic nonlinear algebraic model with scale-similarity dynamic procedure(DNAM-SSD)is proposed for subgrid-scale(SGS)stress in large-eddy simulation of turbulence.The model coefficients of the DNAM-SSD model are ada... A dynamic nonlinear algebraic model with scale-similarity dynamic procedure(DNAM-SSD)is proposed for subgrid-scale(SGS)stress in large-eddy simulation of turbulence.The model coefficients of the DNAM-SSD model are adaptively calculated through the scale-similarity relation,which greatly simplifies the conventional Germano-identity based dynamic procedure(GID).The a priori study shows that the DNAM-SSD model predicts the SGS stress considerably better than the conventional velocity gradient model(VGM),dynamic Smagorinsky model(DSM),dynamic mixed model(DMM)and DNAM-GID model at a variety of filter widths ranging from inertial to viscous ranges.The correlation coefficients of the SGS stress predicted by the DNAM-SSD model can be larger than 95%with the relative errors lower than 30%.In the a posteriori testings of LES,the DNAM-SSD model outperforms the implicit LES(ILES),DSM,DMM and DNAM-GID models without increasing computational costs,which only takes up half the time of the DNAM-GID model.The DNAM-SSD model accurately predicts plenty of turbulent statistics and instantaneous spatial structures in reasonable agreement with the filtered DNS data.These results indicate that the current DNAM-SSD model is attractive for the development of highly accurate SGS models for LES of turbulence. 展开更多
关键词 Subgrid-scale model Nonlinear algebraic model Large-eddy simulation Incompressible turbulence
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Symplectic symmetry approach to clustering in atomic nuclei:the case of ^(24)Mg
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作者 H G Ganev 《Communications in Theoretical Physics》 2025年第5期118-130,共13页
Symplectic symmetry approach to clustering(SSAC)in atomic nuclei,recently proposed,is modified and further developed in more detail.It is firstly applied to the light two-cluster^(20)Ne+αsystem of^(24)Mg,the latter e... Symplectic symmetry approach to clustering(SSAC)in atomic nuclei,recently proposed,is modified and further developed in more detail.It is firstly applied to the light two-cluster^(20)Ne+αsystem of^(24)Mg,the latter exhibiting well developed low-energy K^(π)=0_(1)^(+),k^(π)=2_(1)^(+) and π^(π)=0_(1)^(-) rotational bands in its spectrum.A simple algebraic Hamiltonian,consisting of dynamical symmetry,residual and vertical mixing parts is used to describe these three lowest rotational bands of positive and negative parity in^(24)Mg.A good description of the excitation energies is obtained by considering only the SU(3)cluster states restricted to the stretched many-particle Hilbert subspace,built on the leading Pauli allowed SU(3)multiplet for the positive-and negative-parity states,respectively.The coupling to the higher cluster-model configurations allows us to describe the known low-lying experimentally observed B(E2)transition probabilities within and between the cluster states of the three bands under consideration without the use of an effective charge. 展开更多
关键词 symplectic symmetry approach to clustering algebraic cluster model microscopic cluster model
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Numerical Simulation of the Whole Three-Dimensional Flow in a Stirred Tank with Anisotropic Algebraic Stress Model 被引量:19
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作者 孙海燕 王卫京 毛在砂 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2002年第1期15-24,共10页
In accordance to the anisotropic feature of turbulent flow, ananisotropic algebraic stress model is adopted to predict theturbulent flow field and turbulent characteristics generated by aRushton disc turbine with the ... In accordance to the anisotropic feature of turbulent flow, ananisotropic algebraic stress model is adopted to predict theturbulent flow field and turbulent characteristics generated by aRushton disc turbine with the improved inner-outer iterativeprocedure. The predicted turbulent flow is compared with experimentaldata and the simulation by the standard k-ε turbulence model. Theanisotropic algebraic stress model is found to give better predictionthan the standard k-ε turbulence model. The predicted turbulent flowfield is in accordance to experimental data and the trend of theturbulence intensity can be effectively reflected in the simulation. 展开更多
关键词 agitated vessel anisotropic algebraic stress model numerical simulation inner-outer iteration
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The rough representation and measurement of quotient structure in algebraic quotient space model 被引量:5
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作者 陈林书 Wang Jiayang 《High Technology Letters》 EI CAS 2017年第3期293-297,共5页
Granular computing is a very hot research field in recent years. In our previous work an algebraic quotient space model was proposed,where the quotient structure could not be deduced if the granulation was based on an... Granular computing is a very hot research field in recent years. In our previous work an algebraic quotient space model was proposed,where the quotient structure could not be deduced if the granulation was based on an equivalence relation. In this paper,definitions were given and formulas of the lower quotient congruence and upper quotient congruence were calculated to roughly represent the quotient structure. Then the accuracy and roughness were defined to measure the quotient structure in quantification. Finally,a numerical example was given to demonstrate that the rough representation and measuring methods are efficient and applicable. The work has greatly enriched the algebraic quotient space model and granular computing theory. 展开更多
关键词 granular computing algebraic quotient space model quotient structure upper(lower) congruence relation
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Explicit Algebraic Stress Model for Three-Dimensional Turbulent Buoyant Flows Derived Using Tensor Representation
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作者 Ronald M. C. So 《Journal of Applied Mathematics and Physics》 2022年第4期1167-1181,共15页
An explicit algebraic stress model (EASM) has been formulated for two-dimensional turbulent buoyant flows using a five-term tensor representation in a prior study. The derivation was based on partitioning the buoyant ... An explicit algebraic stress model (EASM) has been formulated for two-dimensional turbulent buoyant flows using a five-term tensor representation in a prior study. The derivation was based on partitioning the buoyant flux tensor into a two-dimensional and a three-dimensional component. The five-term basis was formed with the two-dimensional component of the buoyant flux tensor. As such, the derived EASM is limited to two-dimensional flows only. In this paper, a more general approach using a seven-term representation without partitioning the buoyant flux tensor is used to derive an EASM valid for two- and three-dimensional turbulent buoyant flows. Consequently, the basis tensors are formed with the fully three-dimensional buoyant flux tensor. The derived EASM has the two-dimensional flow as a special case. The matrices and the representation coefficients are further simplified using a four-term representation. When this four-term representation model is applied to calculate two-dimensional homogeneous buoyant flows, the results are essentially identical with those obtained previously using the two-dimensional component of the buoyant flux tensor. Therefore, the present approach leads to a more general EASM formulation that is equally valid for two- and three-dimensional turbulent buoyant flows. 展开更多
关键词 Explicit algebraic Stress Model Buoyant Flows Tensor Representation
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Detailed Analysis of Quantum Phase Transitions Within the u(2) Algebra
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作者 L.Fortunato L.Sartori 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第10期589-593,共5页
We analyze in detail the quantum phase transitions that arise in models based on the u(2) algebraic description for bosonic systems with two types of scalar bosons. First we discuss the quantum phase transition that... We analyze in detail the quantum phase transitions that arise in models based on the u(2) algebraic description for bosonic systems with two types of scalar bosons. First we discuss the quantum phase transition that occurs in hamiltonians that admix the two dynamical symmetry chains u(2) u(1) and u(2) so(2) by diagonalizing the problem exactly in the u(1) basis. Then we apply the coherent state formalism to determine the energy functioned. Finally we show that a quantum phase transition of a different nature, but displaying similar characteristics, may arise also within a single chain just by including higher order terms in the hamiltonian. 展开更多
关键词 algebraic models Lie algebra quantum phase transitions Lipkin model
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Logic and Sense
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作者 Urszula Wybraniec-Skardowska 《Journal of Philosophy Study》 2016年第9期554-568,共15页
In the paper, original formal-logical conception of syntactic and semantic: intensional and extensional senses of expressions of any language L is outlined. Syntax and bi-level intensional and extensional semantics o... In the paper, original formal-logical conception of syntactic and semantic: intensional and extensional senses of expressions of any language L is outlined. Syntax and bi-level intensional and extensional semantics of language L are characterized categorically: in the spirit of some Husserl's ideas of pure grammar, Le^niewski-Ajukiewicz's theory syntactic/semantic categories and in accordance with Frege's ontological canons, Bochefiski's famous motto--syntax mirrors ontology and some ideas of Suszko: language should be a linguistic scheme of ontological reality and simultaneously a tool of its cognition. In the logical conception of language L, its expressions should satisfy some general conditions of language adequacy. The adequacy ensures their unambiguous syntactic and semantic senses and mutual, syntactic, and semantic compatibility, correspondence guaranteed by the acceptance of a postulate of categorial compatibility syntactic and semantic (extensional and intensional) categories of expressions of L. From this postulate, three principles of compositionality follow: one syntactic and two semantic already known to Frege. They are treated as conditions of homomorphism partial algebra of L into algebraic models of L: syntactic, intensional, and extensional. In the paper, they are applied to some expressions with quantifiers. Language adequacy connected with the logical senses described in the logical conception of language L is, of course, an idealization, but only expressions with high degrees of precision of their senses, after due justification, may become theorems of science. 展开更多
关键词 logic of language categorial language syntactic and semantic senses intensional semantics meaning constituent of knowledge extensional semantics ontological object DENOTATION categorization syntactic and semantic compatibility algebraic models truth structural compatibility COMPOSITIONALITY
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Analysis of vibrational spectra of nano-bio molecules: Application to metalloporphrins
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作者 K Srinivasa Rao G Srinivas +5 位作者 J.Vijayasekhar V.U.M.Rao Y.Srinivas K.Sunil Babu V.Sunndadara Siva Kumar A.Hanumaiah 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第9期225-232,共8页
In this paper, we have applied the Lie algebraic model to nano-bio molecules to determine the vibrational spectra of different stretching and bending vibrational modes. The determined vibrational energy levels by the ... In this paper, we have applied the Lie algebraic model to nano-bio molecules to determine the vibrational spectra of different stretching and bending vibrational modes. The determined vibrational energy levels by the Lie algebraic model are compared with the experimental data. The results from the theoretical mode[ are consistent with the experimental data. The vibrational energy levels are clustering in the excited states. 展开更多
关键词 Lie algebraic model vibrational spectra vibrational modes METALLOPORPHYRINS
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CURVAURE SENSITIVE NONLINEAR TURBULENCE MODEL
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作者 钱炜祺 符松 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2002年第1期31-41,共11页
By modifying the Rodi assumption to take account of the influence of flow curvature, a new curvature modified algebraic stress model(CMASM) is de- veloped from the second moment closure in the generalized curvilinear ... By modifying the Rodi assumption to take account of the influence of flow curvature, a new curvature modified algebraic stress model(CMASM) is de- veloped from the second moment closure in the generalized curvilinear coordinate system. And the explicit form of this ASM, a new curvature modified nonlinear k-ε model (CMNKE), is derived in the orthogonal curvilinear coordinate system. This new nonlinear k-ε model is further validated by a numerical simulation of a two- dimensional U-type turnaround duct flow. The results show that the CMNKE can effectively capture the main characteristic of this curvature flow and simulate the damping effect of the shear stress by a convex curvature and the enhancing effect by a concave curvature. So, this model is a rational and effective simplification to the second moment closure. 展开更多
关键词 TURBULENCE curvature effect algebraic stress model nonlinear k-ε model
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STUDY ON ANISOTROPIC BUOYANT TURBULENCE MODEL
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作者 阳坤 洪益平 +1 位作者 周雪漪 李玉梁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第1期45-50,共6页
By analyzing the components of Reynolds stresses of implicit algebraic stress model(IASM) in this paper, that Reynolds stresses in buoyant turbulent flows were produced by both strain and buoyancy is considered. Conse... By analyzing the components of Reynolds stresses of implicit algebraic stress model(IASM) in this paper, that Reynolds stresses in buoyant turbulent flows were produced by both strain and buoyancy is considered. Consequently, a nonlinear anisotropy buoyant turbulence model was developed by applying linearity of equilibrium hypothesis to Reynolds stress transports. The model avoids numerical singularity and its reliability is verified by the comparisons between predictions and experimental data. 展开更多
关键词 algebraic stress model buoyant turbulence model ANISOTROPY
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Extended intrinsic mean spin tensor for turbulence modelling in non-inertial frame of reference
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作者 黄于宁 马晖扬 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第11期1463-1475,共13页
We investigate the role of extended intrinsic mean spin tensor introduced in this work for turbulence modelling in a non-inertial frame of reference. It is described by the Euclidean group of transformations and, in p... We investigate the role of extended intrinsic mean spin tensor introduced in this work for turbulence modelling in a non-inertial frame of reference. It is described by the Euclidean group of transformations and, in particular, its significance and importance in the approach of the algebraic Reynolds stress modelling, such as in a nonlinear K-ε model. To this end and for illustration of the effect of extended intrinsic spin tensor on turbulence modelling, we examine several recently developed nonlinear K-ε models and compare their performance in predicting the homogeneous turbulent shear flow in a rotating frame of reference with LES data. Our results and analysis indicate that, only if the deficiencies of these models and the like be well understood and properly corrected, may in the near future, more sophisticated nonlinear K-ε models be developed to better predict complex turbulent flows in a non-inertial frame of reference. 展开更多
关键词 turbulence modelling non-inertial frame of reference extended intrinsic mean spin tensor frame-dependent algebraic Reynolds stress models
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Estimation of solid concentration in solid-liquid two-phase flow in horizontal pipeline using inverse-problem approach
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作者 Ji Zhang Han Yuan +1 位作者 Ning Mei Zhe Yan 《Particuology》 SCIE EI CAS CSCD 2022年第3期1-13,共13页
In this study,an inverse-problem method was applied to estimate the solid concentration in a solid-liquid two-phase flow.An algebraic slip mixture model was introduced to solve the forward problem of solid-liquid conv... In this study,an inverse-problem method was applied to estimate the solid concentration in a solid-liquid two-phase flow.An algebraic slip mixture model was introduced to solve the forward problem of solid-liquid convective heat transfer.The time-average conservation equations of mass,momentum,energy,as well as the volume fraction equation were computed in a computational fluid dynamics(CFD)simulation.The solid concentration in the CFD model was controlled using an external program that included the inversion iteration,and an optimal estimation was performed via experimental measurements.Experiments using a fly-ash-water mixture and sand-water mixture with different solid concentrations in a horizontal pipeline were conducted to verify the accuracy of the inverse-problem method.The estimated results were rectified using a method based on the relationship between the estimated results and estimation error;consequently,the accuracy of the corrected inversion results improved significantly.After a verification through experiments,the inverse-problem method was concluded to be feasible for predicting the solid concentration,as the estimation error of the corrected results was within 7%for all experimental samples for a solid concentration of less than 50%.The inverse-problem method is expected to provide accurate predictions of the solid concentration in solid-liquid two-phase flow systems. 展开更多
关键词 Solid-liquid two-phase flow Solid concentration estimation Coupling calculation Inverse heat transfer problem algebraic slip mixture model
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Algebraic Model of Linear Triatomic Molecules
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作者 WangYonggang YangBojun 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 1999年第1期23-26,共4页
The symmetry of the rotation-vibration spectra for linear triatomic molecules is described by means of the poop U(5). The rotation-vibration levels of linear triatomic molecules HCN and COS are calculated The infrared... The symmetry of the rotation-vibration spectra for linear triatomic molecules is described by means of the poop U(5). The rotation-vibration levels of linear triatomic molecules HCN and COS are calculated The infrared absorption line intensities are calculated for the molecule COS. The results are in good agreement with the experimental values. 展开更多
关键词 rotation-vibration spectra linear triatomic molecules group U(5) algebraic model
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A NEW DEPTH-AVERAGED ALGEBRAIC STRESS MODEL AND ITS VERIFICATION TEST
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作者 Zheng Yon-hong(Dalian Vniverstiy of Technology, Dalian 116024, P. R. China)Zhao Wen-qian Li Jin Li Ke-feng(Sichuan University, Chengdu 610065, P. R. China) 《Journal of Hydrodynamics》 SCIE EI CSCD 1999年第2期111-117,共7页
Based on the 3D algebraic stress model and the Newton-Leibnitz equation,a new depth-average algebraic stress model (DAASM) is derived in this paper. The explicit Reynolds stress equations (ERSES), similar to those pro... Based on the 3D algebraic stress model and the Newton-Leibnitz equation,a new depth-average algebraic stress model (DAASM) is derived in this paper. The explicit Reynolds stress equations (ERSES), similar to those proposed by Boussinesq, arederived at the same time by an algebraic transformation from the depth-averaged Reynoldsstress equations. The ERSES can describe the anisotropic property of the Reynolds stress,so the DAASM can numerically simulate the anisotropic water transport. The new modelis tested by the hydraulic and thermal test data of drainage and intake in a shallow watercoolin pond. The results show the model can correctly predict the hydrulic and thermalproperties of large-volume water. In comparison with the depth-averaged k-ε model, it isfound that the new model is better. 展开更多
关键词 algebraic stress model turbulence model
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Energy hub modeling to minimize residential energy costs considering solar energy and BESS 被引量:17
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作者 Thanhtung HA Yongjun ZHANG +1 位作者 V.V.THANG Jianang HUANG 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2017年第3期389-399,共11页
This paper aims to optimize total energy costs in an operational model of a novel energy hub(EH) in a residential area. The optimization problem is set up based on daily load demand(such as electricity, heat, and cool... This paper aims to optimize total energy costs in an operational model of a novel energy hub(EH) in a residential area. The optimization problem is set up based on daily load demand(such as electricity, heat, and cooling) and time-of-use(TOU) energy prices. The extended EH model considers the involvement of solar photovoltaic(PV) generation, solar heat exchanger(SHE), and a battery energy storage system(BESS). A mathematical model is constructed with the objective of optimizing total energy cost during the day, including some constraints such as input-output energy balance of the EH, electricity price,capacity limitation of the system, and charge/discharge power of BESS. Four operational cases based on different EH structures are compared to assess the effect of solar energy applications and BESS on the operational efficiency. The results show that the proposed model predicts significant changes to the characteristics of electricity and gas power bought from utilities, leading to reduced total energy cost compared to other cases. They also indicate that the model is appropriate for the characteristics of residential loads. 展开更多
关键词 Natural gas price Electricity price Energy Hub Optimal operation General algebraic modeling system(GAMS) Solar Battery energy storage system(BESS)
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Optimal proportion of wind and PV capacity in provincial power systems based on bilevel optimization algorithm under low-carbon economy 被引量:13
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作者 Yue YUAN Yang CAO +4 位作者 Xinsong ZHANG Chun LIU Yuehui HUANG Peng LI Kejun QIAN 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2015年第1期33-40,共8页
In order to boost contributions of power systems to a low-carbon economy,the installed capacity of renewable power generation,such as wind and photovoltaic(PV)power generation should be well planned.A bilevel formulat... In order to boost contributions of power systems to a low-carbon economy,the installed capacity of renewable power generation,such as wind and photovoltaic(PV)power generation should be well planned.A bilevel formulation is presented to optimize the proportion of wind and PV capacity in provincial power systems,in which,carbon emissions of generator units and features of renewable resources are taken into account.In the lowerlevel formulation,a time-sequence production simulation(TSPS)model that is suitable for actual power system has been adopted.In order to maximize benefits of energy conservation and emissions reduction resulting from renewable power generation,the commercial software called General Algebraic Modeling System(GAMS)is employed to optimize the annual operation of the power system.In the upper-level formulation,the optimal pattern search(OPS)algorithm is utilized to optimize the proportion of wind and PV capacity.The objective of the upper-level formulation is to maximize benefits of energy conservation and carbon emissions reductions optimized in the lowerlevel problem.Simulation results in practical provincial power systems validate the proposed model and corresponding solving algorithms.The optimization results can provide support to policy makers to make the polices related to renewable energy. 展开更多
关键词 Time-sequence production simulation Optimal proportion of renewable energy Pattern search method General algebraic modeling system
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CHARACTERISTIC ANALYSIS OF THE PLUNGING OF TURBIDITY CURRENTS 被引量:6
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作者 AN Rui-dong LI Jia 《Journal of Hydrodynamics》 SCIE EI CSCD 2010年第2期274-282,共9页
Turbidity currents are flows driven by suspended sediment of flood-induced turbid river water with excess density.Such currents are often the governing factor in reservoir sedimentation by transporting fine materials ... Turbidity currents are flows driven by suspended sediment of flood-induced turbid river water with excess density.Such currents are often the governing factor in reservoir sedimentation by transporting fine materials over long distances and delivering the majority of deposition,which thus reduces the storage capacity.Therefore,the design and operation of a reservoir requires an accurate prediction of its occurrence condition and plunging position,which is the objective of the present study.This article presents a verified algebraic slip mixture model including momentum,continuity and algebraic velocity expressions to simulate 2-D turbidity currents.Test experiments in a multiphase flume were carried out.Reynolds number,sediment concentration and densimetric Froude number were used as parameters in the occurrence condition analysis.The plunging of turbidity currents may produce reflux and backflow due to the diving flow at the surface of the clear water.The similar experimental results were also obtained by PIV measurements 展开更多
关键词 turbidity current plunge suspend sediment algebraic slip mixture model densimetric Froude number
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Priority-based Residential Demand Response for Alleviating Crowding in Distribution Systems 被引量:1
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作者 Venkateswarlu Gundu Sishaj P.Simon +2 位作者 Vemalaiah Kasi Narayana Prasad Padhy Dheeraj Kumar Khatod 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2023年第2期502-510,共9页
The dynamic pricing environment offers flexibility to the consumers to reschedule their switching appliances.Though the dynamic pricing environment results in several benefits to the utilities and consumers,it also po... The dynamic pricing environment offers flexibility to the consumers to reschedule their switching appliances.Though the dynamic pricing environment results in several benefits to the utilities and consumers,it also poses some challenges.The crowding among residential customers is one of such challenges.The scheduling of loads at low-cost intervals causes crowding among residential customers,which leads to a fall in voltage of the distribution system below its prescribed limits.In order to prevent crowding phenomena,this paper proposes a priority-based demand response program for local energy communities.In the program,past contributions made by residential houses and demand are considered as essential parameters while calculating the priority factor.The non-linear programming(NLP)model proposed in this study seeks to reschedule loads at low-cost intervals to alleviate crowding phenomena.Since the NLP model does not guarantee global optima due to its non-convex nature,a second-order cone programming model is proposed,which captures power flow characteristics and guarantees global optimum.The proposed formulation is solved using General Algebraic Modeling System(GAMS)software and is tested on a 12.66 kV IEEE 33-bus distribution system,which demonstrates its applicability and efficacy. 展开更多
关键词 Crowding strategy demand response distribution system General algebraic Modeling System(GAMS) local energy community second-order cone programming
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Numerical Simulation System for Casting Process in Concurrent Engineering
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作者 李永保 柳百成 邱伟 《Tsinghua Science and Technology》 SCIE EI CAS 1999年第2期59-63,共5页
According to the implementing principle and application background of the Concurrent Engineering (CE) project, studies on the integration of numerical simulation system for casting process with CE, simulation of turbu... According to the implementing principle and application background of the Concurrent Engineering (CE) project, studies on the integration of numerical simulation system for casting process with CE, simulation of turbulent phenomena in filling process of casting by Algebraic Stress Model (ASM), computation efficiency of filling process and quantitative prediction of shrinkage cavity and porosity under feeding condition of several risers are discussed. After the simulation of casting process of typical magnesium based alloy casting with complicated structure, remarkable success in assuring the quality is also presented. 展开更多
关键词 casting process numerical simulation Concurrent Engineering algebraic Stress Model
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A Multiple-Valued Algebra for Modeling MOS VLSI Circuits at Switch-Level
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作者 胡谋 《Journal of Computer Science & Technology》 SCIE EI CSCD 1992年第2期175-184,共10页
A multiple-valued algebra for modeling MOS VLSI circuits at switch-level is proposed in this paper. Its structure and properties are studied.This algebra can be used to transform a MOS digital circuit to a switch-leve... A multiple-valued algebra for modeling MOS VLSI circuits at switch-level is proposed in this paper. Its structure and properties are studied.This algebra can be used to transform a MOS digital circuit to a switch-level algebraic expression so as to generate the truth table for the circuit and to derive a Boolean expression for it.In the paper,methods to construct a switch-level algebraic expression for a circuit and methods to simplify expressions are given.This algebra provides a new tool for MOS VLSI circuit design and analysis. 展开更多
关键词 MOS VLSI A Multiple-Valued Algebra for Modeling MOS VLSI Circuits at Switch-Level
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