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Geometries and electronic structures of Zr_(n)Cu(n=2–12) clusters: A joint machine-learning potential density functional theory investigation
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作者 王一志 崔秀花 +3 位作者 刘静 井群 段海明 曹海宾 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期595-602,共8页
Zr-based amorphous alloys have attracted extensive attention because of their large glassy formation ability, wide supercooled liquid region, high elasticity, and unique mechanical strength induced by their icosahedra... Zr-based amorphous alloys have attracted extensive attention because of their large glassy formation ability, wide supercooled liquid region, high elasticity, and unique mechanical strength induced by their icosahedral local structures.To determine the microstructures of Zr–Cu clusters, the stable and metastable geometry of Zr_(n)Cu(n=2–12) clusters are screened out via the CALYPSO method using machine-learning potentials, and then the electronic structures are investigated using density functional theory. The results show that the Zr_(n)Cu(n ≥ 3) clusters possess three-dimensional geometries, Zr_(n)Cu(n≥9) possess cage-like geometries, and the Zr_(12)Cu cluster has icosahedral geometry. The binding energy per atom gradually gets enlarged with the increase in the size of the clusters, and Zr_(n)Cu(n=5,7,9,12) have relatively better stability than their neighbors. The magnetic moment of most Zr_(n)Cu clusters is just 1μB, and the main components of the highest occupied molecular orbitals(HOMOs) in the Zr_(12)Cu cluster come from the Zr-d state. There are hardly any localized two-center bonds, and there are about 20 σ-type delocalized three-center bonds. 展开更多
关键词 geometries and electronic structures magnetic and chemical bonds machine learning potentials Zr–Cu clusters
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Study of residual stresses and distortions from the Ti6Al4V based thinwalled geometries built using LPBF process
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作者 Jagatheeshkumar S Raguraman M +2 位作者 Siva Prasad AVS Nagesha B K Chandrasekhar U 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第10期33-41,共9页
The current paper focuses on the prediction of residual stresses and distortions in the Laser Powder Bed Fusion(LPBF)built Ti6Al4V thin-walled geometries using Ansys Additive Print(AAP)software which employs a layer-b... The current paper focuses on the prediction of residual stresses and distortions in the Laser Powder Bed Fusion(LPBF)built Ti6Al4V thin-walled geometries using Ansys Additive Print(AAP)software which employs a layer-by-layer accumulation of inherent strain to calculate the deformations.Isotropic and anisotropic strain scaling factors were calibrated initially within the APP software for the Ti6Al4V based single cantilever beam geometry.Subsequently,the numerical simulations were performed in APP software and computed the residual stresses and distortions for the varied process parameters including laser power,scan speed and hatch distance while maintaining the layer thickness constant for all the design iterations.The numerical predictions were compared;they were found to match reasonably well with the XRD measurements within the calibrated regime. 展开更多
关键词 TI6AL4V Thin-walled geometry Residual stress Inherent strain XRD Ansys additive print
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Effects of Chip Geometries on Dielectrophoresis and Electrorotation Investigation 被引量:4
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作者 REN Yukun WU Hongchi +2 位作者 FENG Guojing HOU Likai JIANG Hongyuan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2014年第1期103-110,共8页
The electric fields employed for such work are generated using chips, such as planar linear interdigitated arrays or two parallel arrays. However, chip geometries usually affect the investigation of dielectrophoresis ... The electric fields employed for such work are generated using chips, such as planar linear interdigitated arrays or two parallel arrays. However, chip geometries usually affect the investigation of dielectrophoresis (DEP) and electrorotation (ER) significantly, and even may misdirect the theoretical prediction. In order to understand the electrodes geometries effect and provide a suitable range of parameters, three-dimensional simulations for the DEP and ER characterizations on the quadrupolar hyperbolical electrodes are carried out. Influences of the electrodes gaps, cell height, work region, energized voltage and frequencies for the DEP and ER manipulations are analyzed, and the analysis results show that the gaps of the electrodes and the cell height have enormous effects, but the work region is not so important. Moreover, depending on the theoretical analysis, ER experiments for polystyrene microspheres with the diameter of 20 ~m are carried out on two kinds of chips. The experimental results show that the microspheres rotate in the counter-field direction and the maximum rotation speed appears in the megahertz range. In addition, the experimental results are compared with the simulation results, showing that the three-dimensional simulations considering the chip geometries are more accurate than the two-dimensional predictions. This paper provides a new understanding for the theoretical predictions of DEP and ER manipulations, which decreases the difference of the theoretical and experimental results significantly, and will be significant for the lab chip research. 展开更多
关键词 dielectrophoresis ELECTROROTATION chip geometries
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Multiple patterns of diblock copolymer confined in irregular geometries with soft surface 被引量:1
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作者 李颖 孙敏娜 +4 位作者 张进军 潘俊星 郭宇琦 王宝凤 武海顺 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第12期452-459,共8页
The different confinement shapes can induce the formation of various interesting and novel morphologies, which might inspire potential applications of materials. In this paper, we study the directed self-assembly of d... The different confinement shapes can induce the formation of various interesting and novel morphologies, which might inspire potential applications of materials. In this paper, we study the directed self-assembly of diblock copolymer confined in irregular geometries with a soft surface by using self-consistent field theory. Two types of confinement geometries are considered, namely, one is the concave pore with one groove and the other is the concave pore with two grooves. We obtain more novel and different structures which could not be produced in other two-dimensional(2D) confinements. Comparing these new structures with those obtained in regular square confinement, we find that the range of ordered lamellae is enlarged and the range of disordered structure is narrowed down under the concave pore confinement.We also compare the different structures obtained under the two types of confinement geometries, the results show that the effect of confinement would increase, which might induce the diblock copolymer to form novel structures. We construct the phase diagram as a function of the fraction of B block and the ratio of h/L of the groove. The simulation reveals that the wetting effect of brushes and the shape of confinement geometries play important roles in determining the morphologies of the system. Our results improve the applications in the directed self-assembly of diblock copolymer for fabricating the irregular structures. 展开更多
关键词 SELF-ASSEMBLY irregular geometries soft confinement self-consistent field
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Geometries, Electronic Structures, and Electron Detachment Energies of Small Boron Sulfide Anions: A Density Functional Theory Investigation 被引量:1
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作者 郭巧灵 郭谨昌 李思殿 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2008年第6期651-658,共8页
A density functional theory investigation on the geometries, electronic structures, and electron detachment energies of BS, BS2, B(BS)2 and B(BS)3 has been performed in this work. The linear ground-state structure... A density functional theory investigation on the geometries, electronic structures, and electron detachment energies of BS, BS2, B(BS)2 and B(BS)3 has been performed in this work. The linear ground-state structures of BS (C∞v, ^1∑^+) and BS2^- (O∞h, ^1∑g^+) prove to be similar to the previously reported BO and BO2 with systematically lower electron detachment energies. Small boron sulfide clusters are found to favor the formation of -B=S groups which function basically as a-radicals and dominate the ground-state structures of the systems. The perfect linear B(BS)2^-(D∞h, ^3∑g) and beautiful equilateral triangle B(BS)3^- (D3h,^2A1”) turn out to be analogous to the well-known C2v BH2 and O3h BH3, respectively. The electron affinities of BS, BS2, B(BS)2 and B(BS)3 are predicted to be 2.3, 3.69, 3.00 and 3.45 eV, respectively. The electron detachment energies calculated for BS^-, BS2^-, B(BS)2^-, and B(BS)3^- may facilitate future photoelectron spectroscopy measurements to characterize the geometrical and electronic structures of these anions. 展开更多
关键词 boron sulfides density functional theory geometries electronic structures electron detachment energies photoelectron spectroscopy
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Paleomagnetic Data and Dyke Swarms Geometries – Important Tools for Precambrian Paleogeographic Reconstructions
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作者 Sergei A.PISAREVSKY 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2016年第S1期40-,共1页
There are only two quantitative tools for Precambrian paleogeographic reconstructions–paleomagnetic data and dyke swarms geometries.Paleomagnetic data provide information about paleolatitudes and orientation of rigid
关键词 DATA Important Tools for Precambrian Paleogeographic Reconstructions Paleomagnetic Data and Dyke Swarms geometries
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Advancing beyond May 1971: How Do We Deal with the Possibility of Complicated Dyke Geometries, Long-Lived Lips, and Contrasting Basement Geological Provinces?
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作者 David A.D.EVANS 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2016年第S1期31-33,共3页
The iconic image of a giant radiating dyke swarm subsequently fragmented into three pieces via supercontinental breakup was produced by Paul May in1971(see next page).That figure presented a large part of
关键词 and Contrasting Basement Geological Provinces Long-Lived Lips Advancing beyond May 1971 How Do We Deal with the Possibility of Complicated Dyke geometries
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Objet Geometries公司发布Solidworks 2009专用插件
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《工业设计》 2009年第8期50-,共1页
新CADMatrixTM插件可直接控制ConnexTM系统下三维模型材料参数的设定,简化复合零部件。
关键词 SOLIDWORKS 零部件 复合材料 插件 Objet geometries Solidworks 2009
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Hydraulic Power Take-off and Buoy Geometries Charac-terisation for a Wave Energy Converter
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作者 Pedro Beirao Candida Malca 《Energy and Power Engineering》 2013年第4期72-77,共6页
In the past few decades, world energy consumption grew considerably. Regarding this fact, wave energy should not be discarded as a valid alternative for the production of electricity. Devices suitable to harness this ... In the past few decades, world energy consumption grew considerably. Regarding this fact, wave energy should not be discarded as a valid alternative for the production of electricity. Devices suitable to harness this kind of renewable energy source and turn it into electricity are not yet commercially competitive. The work described in this paper aims to contribute to this field of research. It is focused on the design and construction of robust, simple and affordable hydraulic Power Take-Off using hydraulic commercial components. 展开更多
关键词 Hydraulic Power Take-off wave Energy Converter SIMULATION Structural Analysis Buoy geometries
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Springback analysis and strategy for multi-stage thin-walled parts with complex geometries 被引量:4
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作者 王耀 郎利辉 +1 位作者 S.Lauridsen 阚鹏 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第7期1582-1593,共12页
Springback of a SUS321 complex geometry part formed by the multi-stage rigid-flexible compound process was studied through numerical simulations and laboratory experiments in this work.The sensitivity analysis was pro... Springback of a SUS321 complex geometry part formed by the multi-stage rigid-flexible compound process was studied through numerical simulations and laboratory experiments in this work.The sensitivity analysis was provided to have an insight in the effect of the evaluated process parameters.Furthermore,in order to minimize the springback problem,an accurate springback simulation model of the part was established and validated.The effects of the element size and timesteps on springback model were further investigated.Results indicate that the custom mesh size is beneficial for the springback simulation,and the four timesteps are found suited for the springback analysis for the complex geometry part.Finally,a strategy for reducing the springback by changing the geometry of the blank is proposed.The optimal blank geometry is obtained and used for manufacturing the part. 展开更多
关键词 SPRINGBACK model complex GEOMETRY MULTI-STAGE rigid-flexible COMPOUND process
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DESIGN OF QUASI-CYCLIC LDPC CODES BASED ON EUCLIDEAN GEOMETRIES 被引量:4
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作者 Liu Yuanhua Niu Xinliang +1 位作者 Wang Xinmei Fan Jiulun 《Journal of Electronics(China)》 2010年第3期340-344,共5页
A new method for constructing Quasi-Cyclic (QC) Low-Density Parity-Check (LDPC) codes based on Euclidean Geometry (EG) is presented. The proposed method results in a class of QC-LDPC codes with girth of at least 6 and... A new method for constructing Quasi-Cyclic (QC) Low-Density Parity-Check (LDPC) codes based on Euclidean Geometry (EG) is presented. The proposed method results in a class of QC-LDPC codes with girth of at least 6 and the designed codes perform very close to the Shannon limit with iterative decoding. Simulations show that the designed QC-LDPC codes have almost the same performance with the existing EG-LDPC codes. 展开更多
关键词 Low-Density Parity-Check codes (LDPC) Quasi-Cyclic (QC) Euclidean Geometry (EG) Iterative method
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Neutronics analysis for MSR cell with different fuel salt channel geometries 被引量:2
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作者 Shi-He Yu Ya-Fen Liu +7 位作者 Pu Yang Rui-Min Ji Gui-Feng Zhu Bo Zhou Xu-Zhong Kang Rui Yan Yang Zou Ye Dai 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2021年第1期75-84,共10页
The neutronic properties of molten salt reactors(MSRs)differ from those of traditional solid fuel reactors owing to their nuclear fuel particularity.Based on the Monte-Carlo N particle transport code,the effects of th... The neutronic properties of molten salt reactors(MSRs)differ from those of traditional solid fuel reactors owing to their nuclear fuel particularity.Based on the Monte-Carlo N particle transport code,the effects of the size and shape of the fuel salt channel on the neutron physics of an MSR cell are investigated systematically in this study.The results show that the infinite multiplication factor(k?)first increases and then decreases with the change in the graphite cell size under certain fuel volume fraction(FVF)conditions.For the same FVF and average chord length,when the average chord length is relatively small,the k?values for different fuel salt channel shapes agree well.When the average chord length is relatively large,the k?values for different fuel salt channel shapes differ significantly.In addition,some examples of practical applications of this study are presented,including cell selection for the core and thermal expansion displacement analysis of the cell. 展开更多
关键词 Molten salt reactor Fuel salt channel Cell geometry NEUTRONICS
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Nonorthogonal Tight-binding Study of the Geometries and Electronic Properties of Ge_n(n=2-20)Clusters
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作者 LI Si-dian ZHAO Ji-jun WANG Guang-hou 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 1999年第1期54-59,共6页
The universal parameter nonorthogonal tight binding scheme proposed by Menon and Subbaswamy was used to optimize the geometrical structures, binding energies and electron affinities of small germanium clusters Ge ... The universal parameter nonorthogonal tight binding scheme proposed by Menon and Subbaswamy was used to optimize the geometrical structures, binding energies and electron affinities of small germanium clusters Ge n ( n =2—20). A complete agreement with available ab initio results from the lowest energy structures for Ge 2—Ge 6 was obtained and reasonable structures for these clusters were predicted and compared with those of corresponding silicon clusters in the range of n =7—20 . The averaged discrepancy with experiments in binding energies for n =2—7 is about 6% and the calculated electron affinities agree well with the measured values in the range of n =2—8 as well. 展开更多
关键词 Germanium cluster Tight binding study Geometry Electronic property
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Noncollinear phase-matching geometries in ultra-broadband quasi-parametric amplification
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作者 王佶 郑燕青 陈云琳 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第5期386-397,共12页
Optical parametric chirped pulse amplification(OPCPA)shows great potential in producing ultrashort high-intensity pulses because of its large gain bandwidth.Quasi-parametric chirped pulse amplification(QPCPA)may furth... Optical parametric chirped pulse amplification(OPCPA)shows great potential in producing ultrashort high-intensity pulses because of its large gain bandwidth.Quasi-parametric chirped pulse amplification(QPCPA)may further extend the bandwidth.However,behavior of QPCPA at a limited pump intensity(e.g.,≤5 GW/cm^(2) in a nanosecond pumped QPCPA)has not yet been investigated fully.We discuss detailedly the ultra-broadband amplification and the noncollinear phasematching geometry in QPCPA,model and develop a novel noncollinear geometry in QPCPA,namely triple-wavelength phase-matching geometry,which provides two additional phase-matching points around the phase-matching point at the central wavelength.Our analysis demonstrates that the triple-wavelength phase-matching geometry can support stable,ultra-broadband amplification in QPCPA.The numerical simulation results show that ultrashort pulse with a pulse duration of 7.92 fs can be achieved in QPCPA when the pump intensity is limited to 5 GW/cm^(2),calculated using the nonlinear coefficient of YCa;O(BO;);. 展开更多
关键词 quasi-parametric amplification noncollinear phase-matching geometry nonlinear optics ultrafast optics
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A NOVEL CONSTRUCTION OF QUANTUM LDPC CODES BASED ON CYCLIC CLASSES OF LINES IN EUCLIDEAN GEOMETRIES
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作者 CaoDong SongYaoliang ZhaoShengmei 《Journal of Electronics(China)》 2012年第1期1-8,共8页
The dual-containing (or self-orthogonal) formalism of Calderbank-Shor-Steane (CSS) codes provides a universal connection between a classical linear code and a Quantum Error-Correcting Code (QECC). We propose a novel c... The dual-containing (or self-orthogonal) formalism of Calderbank-Shor-Steane (CSS) codes provides a universal connection between a classical linear code and a Quantum Error-Correcting Code (QECC). We propose a novel class of quantum Low Density Parity Check (LDPC) codes constructed from cyclic classes of lines in Euclidean Geometry (EG). The corresponding constructed parity check matrix has quasi-cyclic structure that can be encoded flexibility, and satisfies the requirement of dual-containing quantum code. Taking the advantage of quasi-cyclic structure, we use a structured approach to construct Generalized Parity Check Matrix (GPCM). This new class of quantum codes has higher code rate, more sparse check matrix, and exactly one four-cycle in each pair of two rows. Ex-perimental results show that the proposed quantum codes, such as EG(2,q)II-QECC, EG(3,q)II-QECC, have better performance than that of other methods based on EG, over the depolarizing channel and decoded with iterative decoding based on the sum-product decoding algorithm. 展开更多
关键词 Quantum Error-Correcting Codes (QECC) Low Density Parity Check (LDPC) codes Finite geometry Euclidean Geometry (EG) Stabilizer codes Quasi-cyclic codes
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Numerical Prediction of Hydrodynamic Forces on A Berthed Ship Induced by A Passing Ship in Different Waterway Geometries
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作者 王宏志 邹早建 《China Ocean Engineering》 SCIE EI CSCD 2016年第2期205-216,共12页
An investigation has been conducted to quantify the effect of waterway geometry on the form and magnitude of forces and moment experienced by a berthed ship due to a passing ship.By using the dynamic mesh technique an... An investigation has been conducted to quantify the effect of waterway geometry on the form and magnitude of forces and moment experienced by a berthed ship due to a passing ship.By using the dynamic mesh technique and solving the unsteady RANS equations in conjunction with a RNG k?ε turbulence model,numerical simulation of the three-dimensional unsteady viscous flow around a passing ship and a berthed ship in different waterway geometries is conducted,and the hydrodynamic forces and moment acting on the berthed ship are calculated.The proposed method is verified by comparing the numerical results with existing empirical curves and a selection of results from model scale experiments.The calculated interaction forces and moment are presented for six different waterway geometries.The magnitude of the peak values and the form of the forces and moment on the berthed ship for different cases are investigated to assess the effect of the waterway geometry.The results of present study can provide certain guidance on safe maneuvering of a ship passing by a berthed ship. 展开更多
关键词 passing ship-berthed ship hydrodynamic interaction numerical simulation waterway geometry
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Effect of LASER on the Synthesis of Gold Nanoparticles with Reference to Geometries
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作者 Shweta Yadav Soam Prakash 《Advances in Nanoparticles》 2018年第4期69-76,共8页
Problem Statement: In the current study the effort was being made to investigate the effect of LASER light on the shape and geometries of Gold Nanoparticles. Light is an important parameter that plays significant role... Problem Statement: In the current study the effort was being made to investigate the effect of LASER light on the shape and geometries of Gold Nanoparticles. Light is an important parameter that plays significant role in the formation of nanoparticles;in this study LASER lights of selected wavelengths and colors have been used for the exposure of Gold Nanoparticles. The possibilities to manipulate the geometries of Gold Nanoparticles by altering the colors and wavelengths of LASER have been studied with reference to their efficacy against Culex quinquefasciatus. Approach: In the experimental setup four black boxes are used with no exposure to light sources. Three LASER with selected wavelengths and colors were fixed in the boxes at a specific angle, and then the nanoparticle solution was allowed to react. The micrographs of the Gold nanoparticles have been evaluated through the Transmission Electron Microscope (TEM). Results: The TEM images have shown formation of different shapes of nanoparticles due to exposure in different colors and wavelengths of LASER. Thus it explains that the wavelength and colour of the light plays a decisive role in the formation of the shapes and geometries of the nanoparticles. 展开更多
关键词 LASER GOLD Nanoparticles GEOMETRY Characterisation
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Maximizing Land Use Efficiency by Intercropping Cowpea with Some Maize Cultivars under Different Maize Planting Geometries
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作者 Yasser E. El-Ghobashy Amr S. Shams Mohamed M. Lamlom 《Agricultural Sciences》 2018年第12期1601-1620,共20页
Adjustment of planting geometry along with suitable maize cultivar can be a viable tool for maximizing land usage and net return. A two-year study was carried out at Serw Agricultural Experiments and Research Station,... Adjustment of planting geometry along with suitable maize cultivar can be a viable tool for maximizing land usage and net return. A two-year study was carried out at Serw Agricultural Experiments and Research Station, A.R.C., Domiate governorate, Egypt, during 2015 and 2016 seasons to evaluate intercropping cowpea with suitable maize cultivar and its planting geometry for maximizing land usage and net return. The treatments were the combinations between three maize cultivars (SC 30K08, TWC 310 and TWC 352) and three maize plant distributions (one plant/hill distanced at 25, 50 and 75 cm between hills, respectively). Ridge width with maize plant distribution formed maize planting geometry (25 cm × 140 cm, 50 cm × 140 cm and 75 cm × 140 cm). These treatments were compared in a split plot distribution in randomized complete block design with three replications. Maize cultivar SC 30K08 had the highest grain yield and its attributes compared with the other cultivars in both seasons. Also, maize planting geometry 25 cm × 140 cm resulted in the highest grain yield and its attributes compared with the other planting geometries in both seasons. Ear length, ear weight, 100-grain weight and grain yield/fad were affected significantly by maize cultivars × maize planting geometry. Intercropping cowpea with maize cultivar TWC 352 had the highest seed yield and its attributes compared with those intercropped with the other cultivars in both seasons. Also, maize planting geometry 75 cm × 140 cm resulted in the highest seed yield and its attributes through growing two cowpea rows between maize hills compared with the other maize planting geometries in both seasons. Number of pods/plant and seed yield/fad were affected significantly by maize cultivars × maize planting geometry. LER and LEC values of the intercrops were much greater than 1.00 and 0.25, respectively, for all the combinations indicating less land requirements of intercropping system than solid culture of both crops. Growing one row of maize cultivar TWC352 in both sides of bed 140 cm width with cowpea two rows in middle of the bed increased land productivity and net return compared with solid culture of maize. 展开更多
关键词 INTERCROPPING MAIZE Cultivars MAIZE PLANTING Geometry COWPEA Competitive Relationships Farmers’ Benefit
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The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World
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作者 Alexey Stakhov Samuil Aranson 《Journal of Applied Mathematics and Physics》 2014年第7期457-494,共38页
We suggest an original approach to Lobachevski’s geometry and Hilbert’s Fourth Problem, based on the use of the “mathematics of harmony” and special class of hyperbolic functions, the so-called hyperbolic Fibonacc... We suggest an original approach to Lobachevski’s geometry and Hilbert’s Fourth Problem, based on the use of the “mathematics of harmony” and special class of hyperbolic functions, the so-called hyperbolic Fibonacci l-functions, which are based on the ancient “golden proportion” and its generalization, Spinadel’s “metallic proportions.” The uniqueness of these functions consists in the fact that they are inseparably connected with the Fibonacci numbers and their generalization― Fibonacci l-numbers (l > 0 is a given real number) and have recursive properties. Each of these new classes of hyperbolic functions, the number of which is theoretically infinite, generates Lobachevski’s new geometries, which are close to Lobachevski’s classical geometry and have new geometric and recursive properties. The “golden” hyperbolic geometry with the base (“Bodnar’s geometry) underlies the botanic phenomenon of phyllotaxis. The “silver” hyperbolic geometry with the base ?has the least distance to Lobachevski’s classical geometry. Lobachevski’s new geometries, which are an original solution of Hilbert’s Fourth Problem, are new hyperbolic geometries for physical world. 展开更多
关键词 Euclid’s Elements “Golden” and “Metallic” PROPORTIONS MATHEMATICS of HARMONY Hyperbolic FIBONACCI Functions Lobachevski’s Geometry Hilbert’s FOURTH PROBLEM
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3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries
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作者 D. Le Hardy Y. Favennec +1 位作者 G. Domingues B. Rousseau 《Journal of Applied Mathematics and Physics》 2016年第8期1488-1493,共6页
This paper presents the solution of coupled radiative transfer equation with heat conduction equation in complex three-dimensional geometries. Due to very different time scales for both physics, the radiative problem ... This paper presents the solution of coupled radiative transfer equation with heat conduction equation in complex three-dimensional geometries. Due to very different time scales for both physics, the radiative problem is considered steady-state but solved at each time iteration of the transient conduction problem. The discrete ordinate method along with the decentered streamline-upwind Petrov-Galerkin method is developed. Since specular reflection is considered on borders, a very accurate algorithm has been developed for calculation of partition ratio coefficients of incident solid angles to the several reflected solid angles. The developed algorithms are tested on a paraboloid-shaped geometry used for example on concentrated solar power technologies. 展开更多
关键词 Radiative Transfer Equation Heat Conduction Equation Finite Element Methods SUPG DOM Specular Reflection Complex Geometry
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