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HYBRID SCHEME FOR COMPRESSIBLE TURBULENT FLOW AROUND CURVED SURFACE BODY
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作者 许常悦 冉倩 孙建红 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第4期315-323,共9页
A hybrid central-upwind scheme is proposed. Two sub-schemes, the central difference scheme and the Roets flux difference splitting scheme, are hybridized by means of a binary sensor function. In order to examine the c... A hybrid central-upwind scheme is proposed. Two sub-schemes, the central difference scheme and the Roets flux difference splitting scheme, are hybridized by means of a binary sensor function. In order to examine the capability of the proposed hybrid scheme in computing compressible turbulent flow around a curved surface body, especially the flow involving shock wave, three typical eases are investigated by using detached-eddy simulation technique. Numerical results show good agreements with the experimental measurements. The present hybrid scheme can be applied to simulating the compressible flow around a curved surface body involving shock wave and turbulence. 展开更多
关键词 detached-eddy simulation shock wave compressible turbulence hybrid scheme
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Defending Against Link Failure in Virtual Network Embedding Using a Hybrid Scheme 被引量:3
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作者 Jianjian Ai Hongchang Chen +1 位作者 Zehua Guo Guozhen Cheng 《China Communications》 SCIE CSCD 2019年第1期129-138,共10页
Nowadays network virtualization is utterly popular.As a result,how to protect the virtual networks from attacking on the link is increasingly important.Existing schemes are mainly backup-based,which suffer from data l... Nowadays network virtualization is utterly popular.As a result,how to protect the virtual networks from attacking on the link is increasingly important.Existing schemes are mainly backup-based,which suffer from data loss and are helpless to such attacks like data tampering.To offer high security level,in this paper,we first propose a multipath and decision-making(MD) scheme which applies multipath simultaneously delivery and decision-making for protecting the virtual network.Considering different security requirement for virtual link,we devise a hybrid scheme to protect the virtual links.For the critical links,MD scheme is adopted.For the other links,we adopt the Shared Backup Scheme.Our simulation results indicate the proposed scheme can significantly increase the security level of the critical link high in the loss of less acceptance ratio. 展开更多
关键词 network VIRTUALIZATION VIRTUAL LINK security MULTIPATH and DECISION-MAKING hybrid scheme
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A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS
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作者 徐守栋 吴望一 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第8期739-748,共10页
A hybrid monotonous finite element algorithm is developed in the present paper, based on a second-order-accurate finite element scheme and a first-accurate monotonous one derived from the former by a unilateral lumpin... A hybrid monotonous finite element algorithm is developed in the present paper, based on a second-order-accurate finite element scheme and a first-accurate monotonous one derived from the former by a unilateral lumping procedure in one dimensional case. The switch functions for the two dimensional Euler equation system are constructed locally, based on the gradient of the flow field, with special consideration on the information from neighboring elements. Examples show that the new scheme can eliminate oscillations near strong shocks obviously. 展开更多
关键词 finite element hybrid scheme SHOCKS
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Hybrid Mapping Scheme for Recent Orthogonal FDMA Schemes
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作者 F. S. Al-kamali 《International Journal of Communications, Network and System Sciences》 2013年第3期149-154,共6页
Single-carrier frequency-division multiple access (SC-FDMA) and orthogonal frequency division multiple access (OFDMA) systems are new orthogonal multiple access systems. They have been adopted in the 3GPP long term ev... Single-carrier frequency-division multiple access (SC-FDMA) and orthogonal frequency division multiple access (OFDMA) systems are new orthogonal multiple access systems. They have been adopted in the 3GPP long term evolution (3GPP-LTE). In these systems, there are only two types of subcarrier mapping schemes which are the interleaved and the localized. So, introducing a new subcarrier mapping scheme is an important issue, which is the main objective of this paper. In this paper, a hybrid subcarrier mapping scheme is proposed and examined for the SC-FDMA system. Monte Carlo simulations are performed to compare the performance of the proposed scheme with that of the interleaved and the localized schemes. It is shown that a hybrid scheme provides better performance than that of the localized and the same performance as that of the interleaved scheme and increased robustness to carrier frequency offset (CFO) at the expense of increased envelope fluctuations. 展开更多
关键词 SUBCARRIER Mapping hybrid scheme SC-FDMA
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Robust H_(∞)state estimation for a class of complex networks with dynamic event-triggered scheme against hybrid attacks
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作者 Yahan Deng Zhongkai Mo Hongqian Lu 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第2期269-277,共9页
We investigate the dynamic event-triggered state estimation for uncertain complex networks with hybrid delays suffering from both deception attacks and denial-of-service attacks.Firstly,the effects of time-varying del... We investigate the dynamic event-triggered state estimation for uncertain complex networks with hybrid delays suffering from both deception attacks and denial-of-service attacks.Firstly,the effects of time-varying delays and finitedistributed delays are considered during data transmission between nodes.Secondly,a dynamic event-triggered scheme(ETS)is introduced to reduce the frequency of data transmission between sensors and estimators.Thirdly,by considering the discussed plant,dynamic ETS,state estimator,and hybrid attacks into a unified framework,this framework is transferred into a novel dynamical model.Furthermore,with the help of Lyapunov stability theory and linear matrix inequality techniques,sufficient condition to ensure that the system is exponentially stable and satisfies H∞performance constraints is obtained,and the design algorithm for estimator gains is given.Finally,two numerical examples verify the effectiveness of the proposed method. 展开更多
关键词 dynamic event-triggered scheme hybrid attacks complex networks state estimation
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Likelihood Inference under Generalized Hybrid Censoring Scheme with Comp eting Risks
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作者 MAO Song SHI Yi-min 《Chinese Quarterly Journal of Mathematics》 2016年第2期178-188,共11页
Statistical inference is developed for the analysis of generalized type-Ⅱ hybrid censoring data under exponential competing risks model. In order to solve the problem that approximate methods make unsatisfactory perf... Statistical inference is developed for the analysis of generalized type-Ⅱ hybrid censoring data under exponential competing risks model. In order to solve the problem that approximate methods make unsatisfactory performances in the case of small sample size,we establish the exact conditional distributions of estimators for parameters by conditional moment generating function(CMGF). Furthermore, confidence intervals(CIs) are constructed by exact distributions, approximate distributions as well as bootstrap method respectively,and their performances are evaluated by Monte Carlo simulations. And finally, a real data set is analyzed to illustrate all the methods developed here. 展开更多
关键词 generalized type-Ⅱ hybrid scheme competing risks conditional moment generating function bootstrap method confidence intervals
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A TVD-WAF-based hybrid finite volume and finite difference scheme for nonlinearly dispersive wave equations
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作者 Jing Yin Jia-wen Sun Zi-feng Jiao 《Water Science and Engineering》 EI CAS CSCD 2015年第3期239-247,共9页
A total variation diminishing-weighted average flux (TVD-WAF)-based hybrid numerical scheme for the enhanced version of nonlinearly dispersive Boussinesq-type equations was developed. The one-dimensional governing e... A total variation diminishing-weighted average flux (TVD-WAF)-based hybrid numerical scheme for the enhanced version of nonlinearly dispersive Boussinesq-type equations was developed. The one-dimensional governing equations were rewritten in the conservative form and then discretized on a uniform grid. The finite volume method was used to discretize the flux term while the remaining terms were approximated with the finite difference method. The second-order TVD-WAF method was employed in conjunction with the Harten-Lax-van Leer (HLL) Riemann solver to calculate the numerical flux, and the variables at the cell interface for the local Riemann problem were reconstructed via the fourth- order monotone upstream-centered scheme for conservation laws (MUSCL). The time marching scheme based on the third-order TVD Runge- Kutta method was used to obtain numerical solutions. The model was validated through a series of numerical tests, in which wave breaking and a moving shoreline were treated. The good agreement between the computed results, documented analytical solutions, and experimental data demonstrates the correct discretization of the governing equations and high accuracy of the proposed scheme, and also conforms the advantages of the proposed shock-capturing scheme for the enhanced version of the Boussinesq model, including the convenience in the treatment of wave breaking and moving shorelines and without the need for a numerical filter. 展开更多
关键词 hybrid scheme Finite volume method (FVM) Finite difference method (FDM) Total variation diminishing-weighted average flux (TVD-WAF) Boussinesq-type equations Nonlinear shallow water equations (NSWEs)
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A New Hybrid WENO Scheme with the High-Frequency Region for Hyperbolic Conservation Laws
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作者 Yifei Wan Yinhua Xia 《Communications on Applied Mathematics and Computation》 2023年第1期199-234,共36页
In this paper,a new kind of hybrid method based on the weighted essentially non-oscillatory(WENO)type reconstruction is proposed to solve hyperbolic conservation laws.Comparing the WENO schemes with/without hybridizat... In this paper,a new kind of hybrid method based on the weighted essentially non-oscillatory(WENO)type reconstruction is proposed to solve hyperbolic conservation laws.Comparing the WENO schemes with/without hybridization,the hybrid one can resolve more details in the region containing multi-scale structures and achieve higher resolution in the smooth region;meanwhile,the essentially oscillation-free solution could also be obtained.By adapting the original smoothness indicator in the WENO reconstruction,the stencil is distinguished into three types:smooth,non-smooth,and high-frequency region.In the smooth region,the linear reconstruction is used and the non-smooth region with the WENO reconstruction.In the high-frequency region,the mixed scheme of the linear and WENO schemes is adopted with the smoothness amplification factor,which could capture high-frequency wave efficiently.Spectral analysis and numerous examples are presented to demonstrate the robustness and performance of the hybrid scheme for hyperbolic conservation laws. 展开更多
关键词 hybrid schemes WENO reconstruction Smoothness indicator Finite difference method
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HHR:Hierarchical Hybrid Routing Scheme for Information-Centric Network
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作者 DUAN Jie WANG Xiong +1 位作者 WANG Sheng XU Shizhong 《China Communications》 SCIE CSCD 2015年第6期141-153,共13页
Publish/subscribe(pub/sub) paradigm is the main communication model for Information-Centric Network(ICN) proposals.A key issue for pub/sub system is how to route the content objects to the correct subscribers,and ICN ... Publish/subscribe(pub/sub) paradigm is the main communication model for Information-Centric Network(ICN) proposals.A key issue for pub/sub system is how to route the content objects to the correct subscribers,and ICN is no exception.ICN network would be divided into core domain and many edge domains as today's internet does.HHR(Hierarchy Hybrid Routing scheme) is presented for ICN:A Chord-like routing scheme is used in core domain,while edge domains routing structure can be classified into three categories,Local Routing(LR),Delivery of Local Publication to Core domain(DLPC),and Remote Publication Routing into edge domain(RPR).LR can be decided by each edge domain,which determined by many factors,such as locality characteristic for pub/sub information and local policies.A hierarchical routing algorithm is proposed to solve DLPC and RPR simultaneously.Simulation results demonstrate that HHR can be fast deployed,and can be applied in large scale network or dynamic subscription environment. 展开更多
关键词 Information-Centric Network(ICN) publish/subscribe paradigm hierarchi-cal hybrid routing scheme (HHR) CHORD
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Flexible substructure online hybrid test system using conventional testing devices 被引量:3
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作者 Wang Tao Masayoshi Nakashima 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2013年第3期341-350,共10页
This paper presents a substructure online hybrid test system that is extensible for geographically distributed tests. This system consists of a set of devices conventionally used for cyclic tests to load the tested su... This paper presents a substructure online hybrid test system that is extensible for geographically distributed tests. This system consists of a set of devices conventionally used for cyclic tests to load the tested substructures onto the target displacement or the target force. Due to their robustness and portability, individual sets of conventional loading devices can be transported and reconfigured to realize physical loading in geographically remote laboratories. Another appealing feature is the flexible displacement-force mixed control that is particularly suitable for specimens having large disparities in stiffness during various performance stages. To conduct a substructure online hybrid test, an extensible framework is developed, which is equipped with a generalized interface to encapsulate each substructure. Multiple tested substructures and analyzed substructures using various structural program codes can be accommodated within the single framework, simply interfaced with the boundary displacements and forces. A coordinator program is developed to keep the boundaries among all substructures compatible and equilibrated. An Interuet-based data exchange scheme is also devised to transfer data among computers equipped with different software environments. A series of online hybrid tests are introduced, and the portability, flexibility, and extensibility of the online hybrid test system are demonstrated. 展开更多
关键词 substructure online hybrid test conventional loading device displacement-force mixed control coordinator program Interuet-based data exchange scheme
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A numerical study for WENO scheme-based on different lattice Boltzmann flux solver for compressible flows 被引量:2
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作者 You Li Xiao-Dong Niu +2 位作者 Hai-Zhuan Yuan Adnan Khan Xiang Li 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2018年第6期995-1014,共20页
In this paper,the finite difference weighted essentially non-oscillatory (WENO) scheme is incorporated into the recently developed four kinds of lattice Boltzmann flux solver (LBFS) to simulate compressible flows,incl... In this paper,the finite difference weighted essentially non-oscillatory (WENO) scheme is incorporated into the recently developed four kinds of lattice Boltzmann flux solver (LBFS) to simulate compressible flows,including inviscid LBFS Ⅰ,viscous LBFS Ⅱ,hybrid LBFS Ⅲ and hybrid LBFS Ⅳ.Hybrid LBFS can automatically realize the switch between inviscid LBFS Ⅰ and viscous LBFS Ⅱ through introducing a switch function.The resultant hybrid WENO-LBFS scheme absorbs the advantages of WENO scheme and hybrid LBFS.We investigate the performance of WENO scheme based on four kinds of LBFS systematically.Numerical results indicate that the devopled hybrid WENO-LBFS scheme has high accuracy,high resolution and no oscillations.It can not only accurately calculate smooth solutions,but also can effectively capture contact discontinuities and strong shock waves. 展开更多
关键词 WENO scheme hybrid Lattice BOLTZMANN FLUX SOLVER Compressible INVISCID flows Contact discontinuities Shock waves
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Design Method for the Power Shifting Transmission of Parallel Hybrid Electric Vehicle 被引量:1
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作者 Xueliang Li Jibin Hu Zengxiong Peng 《Journal of Beijing Institute of Technology》 EI CAS 2020年第1期52-59,共8页
A novel method of scheme design is proposed for power shifting transmissions of parallel hybrid electric vehicles(HEVs).First,shift sequences considering the path of power flow and shift logics are analyzed based on t... A novel method of scheme design is proposed for power shifting transmissions of parallel hybrid electric vehicles(HEVs).First,shift sequences considering the path of power flow and shift logics are analyzed based on the graph theory model,abstracted from the degree-of-freedom(DOF)of the schemes.Second,the scheme of gear-pair and shaft,defined as the scheme that ignores the arrangement of synchronizers,is derived from the basic configuration,defined as the scheme of gear-pair and shaft that contains only one of each type of the variable connections,and the numbers of each type of the variable connections.Finally,a multi-parameter scheme,including the arrangement of synchronizers and gear ratios,is designed to optimize the results of synthesis.This method helps to gain a deeper understanding of the systematic design of other fixed gear transmission schemes,such as automated mechanical transmission,dual clutch transmission,and even some novel multi-input transmission. 展开更多
关键词 hybrid ELECTRIC VEHICLE TRANSMISSION scheme novel design method
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HybridLT算法的改进及其收敛性分析
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作者 吴庆军 王宇平 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2000年第6期761-763,772,共4页
HybridLT法是一种解决组合优化问题的新方法 .与现存的Hopfield网络比较 ,这种方法有几个优点 :它不仅能用于二次函数 ,还能用于非二次函数 ;另外 ,在控制人为的加权参数时 ,它减少了对外部的依赖 .文中对原算法进行了改进 ,使其能更快... HybridLT法是一种解决组合优化问题的新方法 .与现存的Hopfield网络比较 ,这种方法有几个优点 :它不仅能用于二次函数 ,还能用于非二次函数 ;另外 ,在控制人为的加权参数时 ,它减少了对外部的依赖 .文中对原算法进行了改进 ,使其能更快找到准确的最优点 ,并且对迭代方法做了收敛性分析 ,给出了收敛的必要条件和充分条件 .从而说明HybridLT方法是可行的 ,是一种适用于很多类型组合优化问题的有效方法 . 展开更多
关键词 组合优化 hybridLT方法 神经网络 收敛性分析
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Hybrid assessment of pre-blasting weakening to horizontal section top coal caving (HSTCC) in steep and thick seams 被引量:4
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作者 Lai Xingping Shan Pengfei +3 位作者 Cao Jiantao Sun Huan Suo Zhengyong Cui Feng 《International Journal of Mining Science and Technology》 SCIE EI 2014年第1期31-37,共7页
Horizontal section top-coal(HSTCC)caving offers a powerful method to efficiently excavate rude coal in steep and thick seams,and pre-blasting weakening has a profound effect on pursuing great production,high efficienc... Horizontal section top-coal(HSTCC)caving offers a powerful method to efficiently excavate rude coal in steep and thick seams,and pre-blasting weakening has a profound effect on pursuing great production,high efficiency and good benefit under particular conditions like a small-scale working face with large-scale sectional caving height.+564-level HSTCC working face in B3–6coal seams of Jiangou Colliery in Urumqi was taken as study case for in situ industrial experiment.Total thickness of seams in the study case is about 50.0 m and average angel here is over 83°.In the industrial experiments,at first we adopted continuous charge machine and emulsion matrix explosive to substitute for traditional blasting schemes for specific geological settings in the study case.Hybrid analyses and assessments with blasting crack propagation analysis,abutment pressure monitoring prediction and economical benefit assessment were attributed to be able to attest pre-blasting weakening effects practically.Meanwhile crack propagation analysis after pre-blasting weakening showed that in all triple monitoring bore holes rock masses of top-coal would be fallen into three stages from the bottom up:fracture zone,plastic zone and elastic zone generally,and fracture toughness respectively in correspondent zones was calculated by the analytical formula:0.5616–0.8806,0.6403–0.9541 and0.7535–1.1900 MPa m1/2after pre-blasting weakening.Pressure monitoring prediction and economical benefit assessment also indicated that it was necessary to introduce the pre-blasting weakening with predominant blasting scheme from both views.For excavation in extremely steep and thick coal seams,relevant results would be a useful tool to study the mechanism of pre-blasting weakening both qualitatively and quantitatively. 展开更多
关键词 Pre-blasting weakening HSTCCS teep and thick seams Explosive scheme In situ hybrid monitoring
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A hybrid ventilation scheme applied to bidirectional excavation tunnel construction with a long inclined shaft
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作者 YANG Wei-chao WANG Jian +3 位作者 DENG E LIU Yi-kang LUO Lu-sen YANG Jia 《Journal of Central South University》 SCIE EI CAS 2024年第9期3187-3205,共19页
The breakage and bending of ducts result in a difficulty to cope with ventilation issues in bidirectional excavation tunnels with a long inclined shaft using a single ventilation method based on ducts.To discuss the h... The breakage and bending of ducts result in a difficulty to cope with ventilation issues in bidirectional excavation tunnels with a long inclined shaft using a single ventilation method based on ducts.To discuss the hybrid ventilation system applied in bidirectional excavation tunnels with a long inclined shaft,this study has established a full-scale computational fluid dynamics model based on field tests,the Poly-Hexcore method,and the sliding mesh technique.The distribution of wind speed,temperature field,and CO in the tunnel are taken as indices to compare the ventilation efficiency of three ventilation systems(duct,duct-ventilation shaft,duct–ventilated shaft-axial fan).The results show that the hybrid ventilation scheme based on duct-ventilation shaft–axial fan performs the best among the three ventilation systems.Compared to the duct,the wind speed and cooling rate in the tunnel are enhanced by 7.5%–30.6%and 14.1%–17.7%,respectively,for the duct-vent shaft-axial fan condition,and the volume fractions of CO are reduced by 26.9%–73.9%.This contributes to the effective design of combined ventilation for bidirectional excavation tunnels with an inclined shaft,ultimately improving the air quality within the tunnel. 展开更多
关键词 bidirectional excavation tunnel inclined shaft hybrid ventilation scheme computational fluid dynamics ventilation efficiency
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A density-functional-theory-based and machine-learning-accelerated hybrid method for intricate system catalysis 被引量:2
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作者 Xuhao Wan Zhaofu Zhang +1 位作者 Wei Yu Yuzheng Guo 《Materials Reports(Energy)》 2021年第3期81-90,共10页
Being progressively applied in the design of highly active catalysts for energy devices,machine learning(ML)technology has shown attractive ability of dramatically reducing the computational cost of the traditional de... Being progressively applied in the design of highly active catalysts for energy devices,machine learning(ML)technology has shown attractive ability of dramatically reducing the computational cost of the traditional density functional theory(DFT)method,showing a particular advantage for the simulation of intricate system catalysis.Starting with a basic description of the whole workflow of the novel DFT-based and ML-accelerated(DFT-ML)scheme,and the common algorithms useable for machine learning,we presented in this paper our work on the development and performance test of a DFT-based ML method for catalysis program(DMCP)to implement the DFT-ML scheme.DMCP is an efficient and user-friendly program with the flexibility to accommodate the needs of performing ML calculations based on the data generated by DFT calculations or from materials database.We also employed an example of transition metal phthalocyanine double-atom catalysts as electrocatalysts for carbon reduction reaction to exhibit the general workflow of the DFT-ML hybrid scheme and our DMCP program. 展开更多
关键词 DMCP program Machine learning Density functional theory DFT-ML hybrid scheme CATALYSIS Double-atom catalysts
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A hybrid-stress element based on Hamilton principle 被引量:2
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作者 Song Cen Tao Zhang +2 位作者 Chen-Feng Li Xiang-Rong Fu Yu-Qiu Long 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第4期625-634,共10页
A novel hybrid-stress finite element method is proposed for constructing simple 4-node quadrilateral plane elements, and the new element is denoted as HH4-3fl here. Firstly, the theoretical basis of the traditional hy... A novel hybrid-stress finite element method is proposed for constructing simple 4-node quadrilateral plane elements, and the new element is denoted as HH4-3fl here. Firstly, the theoretical basis of the traditional hybrid-stress elements, i.e., the Hellinger-Reissner variational principle, is replaced by the Hamilton variational principle, in which the number of the stress variables is reduced from 3 to 2. Secondly, three stress parameters and corresponding trial functions are introduced into the system equations. Thirdly, the displacement fields of the conventional bilinear isoparametric element are employed in the new models. Finally, from the stationary condition, the stress parameters can be expressed in terms of the displacement parameters, and thus the new element stiffness matrices can be obtained. Since the required number of stress variables in the Hamilton variational principle is less than that in the Hellinger-Reissner variational principle, and no additional incompatible displacement modes are considered, the new hybrid-stress element is simpler than the traditional ones. Furthermore, in order to improve the accuracy of the stress solutions, two enhanced post-processing schemes are also proposed for element HH4-3β. Numerical examples show that the proposed model exhibits great improvements in both displacement and stress solutions, implying that the proposed technique is an effective way for developing simple finite element models with high performance. 展开更多
关键词 Finite element Hamilton variational principle hybrid-stress element Post-processing schemes
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A Hybrid ARQ System with Erasures Correction and Parity Retransmission
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作者 L. GOLDFELD A. HOFMAN V. LYANDRES 《International Journal of Communications, Network and System Sciences》 2009年第7期619-626,共8页
A modified type of Hybrid ARQ system with erasures correction and parity bits retransmission is considered. Performance of the system is analyzed under assumption that the forward channel suffers from Nakagami common ... A modified type of Hybrid ARQ system with erasures correction and parity bits retransmission is considered. Performance of the system is analyzed under assumption that the forward channel suffers from Nakagami common fading and additive white Gaussian noise. A good agreement between theoretical results and simulation is achieved. The proposed ARQ protocol is compared with other known Hybrid ARQ algorithms. It demonstrates significantly higher throughput efficiency in a range of SNR. 展开更多
关键词 hybrid ARQ scheme ERASURES CORRECTION Decoding FADING Channel
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Hybrid High‑Order Methods for the Acoustic Wave Equation in the Time Domain
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作者 Erik Burman Omar Duran Alexandre Ern 《Communications on Applied Mathematics and Computation》 2022年第2期597-633,共37页
We devise hybrid high-order(HHO)methods for the acoustic wave equation in the time domain.We frst consider the second-order formulation in time.Using the Newmark scheme for the temporal discretization,we show that the... We devise hybrid high-order(HHO)methods for the acoustic wave equation in the time domain.We frst consider the second-order formulation in time.Using the Newmark scheme for the temporal discretization,we show that the resulting HHO-Newmark scheme is energy-conservative,and this scheme is also amenable to static condensation at each time step.We then consider the formulation of the acoustic wave equation as a frst-order system together with singly-diagonally implicit and explicit Runge-Kutta(SDIRK and ERK)schemes.HHO-SDIRK schemes are amenable to static condensation at each time step.For HHO-ERK schemes,the use of the mixed-order formulation,where the polynomial degree of the cell unknowns is one order higher than that of the face unknowns,is key to beneft from the explicit structure of the scheme.Numerical results on test cases with analytical solutions show that the methods can deliver optimal convergence rates for smooth solutions of order O(hk+1)in the H1-norm and of order O(h^(k+2))in the L^(2)-norm.Moreover,test cases on wave propagation in heterogeneous media indicate the benefts of using high-order methods. 展开更多
关键词 hybrid high-order methods Wave equation Newmark scheme Runge-Kutta scheme
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Incompressible Flow and Heat Transfer over a Plate: A Hybrid Integral Domain-Discretized Numerical Procedure
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作者 Okey Oseloka Onyejekwe 《Applied Mathematics》 2016年第13期1426-1439,共14页
This work deals with incompressible two-dimensional viscous flow over a semi-infinite plate ac-cording to the approximations resulting from Prandtl boundary layer theory. The governing non-linear coupled partial diffe... This work deals with incompressible two-dimensional viscous flow over a semi-infinite plate ac-cording to the approximations resulting from Prandtl boundary layer theory. The governing non-linear coupled partial differential equations describing laminar flow are converted to a self-simi- lar type third order ordinary differential equation known as the Falkner-Skan equation. For the purposes of a numerical solution, the Falkner-Skan equation is converted to a system of first order ordinary differential equations. These are numerically addressed by the conventional shooting and bisection methods coupled with the Runge-Kutta technique. However the accompanying energy equation lends itself to a hybrid numerical finite element-boundary integral application. An appropriate complementary differential equation as well as the Green second identity paves the way for the integral representation of the energy equation. This is followed by a finite element-type discretization of the problem domain. Based on the quality of the results obtained herein, a strong case is made for a hybrid numerical scheme as a useful approach for the numerical resolution of boundary layer flows and species transport. Thanks to the sparsity of the resulting coefficient matrix, the solution profiles not only agree with those of similar problems in literature but also are in consonance with the physics they represent. 展开更多
关键词 Falkner Skan Equation Energy Equation Boundary Integral Theory hybrid Numerical scheme Complementary Differential Equation
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