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从《学算笔谈》刍议华蘅芳的科普思想
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作者 何莘耕 辛道国 《江南大学学报(自然科学版)》 CAS 1994年第4期78-82,共5页
关键词 学算笔谈 准确 科普思想 华蘅芳
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南宋数学文献家荣棨与《黄帝九章算经细草》
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作者 吕变庭 《中原文化研究》 2017年第3期101-104,共4页
南宋数学文献家荣棨是汴京人,以收集和整理镂版数学典籍尤其是《九章算术》为职业。关于荣棨籍贯,宋史典籍有"汴阳坊"与"汴京"两种解释,可证明其为汴京人无疑。尽管算学作为"五学"之一在宋代官办教育体... 南宋数学文献家荣棨是汴京人,以收集和整理镂版数学典籍尤其是《九章算术》为职业。关于荣棨籍贯,宋史典籍有"汴阳坊"与"汴京"两种解释,可证明其为汴京人无疑。尽管算学作为"五学"之一在宋代官办教育体制中渐趋式微,但民间具有博雅才学与镂版书籍资本的热心志士通过对算学典籍的校勘整理在宋元数学发展史上发挥了传承数学文化的独特作用。荣棨得到的"古本"《黄帝九章算经细草》与元丰监本《九章算经》相比,增加了贾宪的"细草",通过将此版本《黄帝九章算经细草》镂版行世,遂成为南宋杨辉《详解九章算法》的底本。正因为《黄帝九章算经细草》的刊印,贾宪三角及其贾宪在算法的抽象、创新和程序化方面所取得的诸多成就才有可能在杨辉《详解九章算法》中保存下来。 展开更多
关键词 南宋 荣柴 黄帝九章经细草 学算
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《算学宝鉴》用韵与16世纪山西汾阳方言
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作者 朱光鑫 《常熟理工学院学报》 2019年第3期102-107,共6页
明中叶山西汾阳数学家王文素所著《算学宝鉴》中存有大量算学诗歌,用韵十分灵活,基本不遵平水韵。经过系联、分析韵脚字,归纳为14部,同时得到若干特殊韵例。参照现代山西方言,结合其他文献资料,《算学宝鉴》用韵反映了16世纪汾阳方言的... 明中叶山西汾阳数学家王文素所著《算学宝鉴》中存有大量算学诗歌,用韵十分灵活,基本不遵平水韵。经过系联、分析韵脚字,归纳为14部,同时得到若干特殊韵例。参照现代山西方言,结合其他文献资料,《算学宝鉴》用韵反映了16世纪汾阳方言的若干特点——阳声韵:臻深曾梗通摄通押,宕与曾梗通摄通押,咸山摄合流;阴声韵:之灰通押,支鱼通押;入声韵:塞音韵尾合并,喉塞音-.已经产生。 展开更多
关键词 王文素 宝鉴》 用韵 汾阳方言
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Optimal Order-of-Addition Experiments under a Prior Constraint
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作者 ZHANG Yunzhi ZHANG Wenchao +1 位作者 WANG Xiaodi CHEN Xueping 《应用概率统计》 CSCD 北大核心 2024年第6期957-974,共18页
The order-of-addition experiments are widely used in many fields,including food and industrial production,but the relative research under prior constraints is limited.The purpose of this paper is to select an optimal ... The order-of-addition experiments are widely used in many fields,including food and industrial production,but the relative research under prior constraints is limited.The purpose of this paper is to select an optimal sequence under the restriction that component i is added before component j,while it is unachievable to compare all sequences when the number of components m is large.To achieve this,a constrained PWO model is first provided,and then the D-optimal designs for order-of addition experiments with minimal-points via the modified threshold accepting algorithm is established.The effectiveness of the proposed method is demonstrated through a job scheduling problem with a prior constraint for teaching cases. 展开更多
关键词 design of experiment orthogonal array threshold acceptance algorithm teaching cases
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Advancing automated pupillometry:a practical deep learning model utilizing infrared pupil images
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作者 Dai Guangzheng Yu Sile +2 位作者 Liu Ziming Yan Hairu He Xingru 《国际眼科杂志》 CAS 2024年第10期1522-1528,共7页
AIM:To establish pupil diameter measurement algorithms based on infrared images that can be used in real-world clinical settings.METHODS:A total of 188 patients from outpatient clinic at He Eye Specialist Shenyang Hos... AIM:To establish pupil diameter measurement algorithms based on infrared images that can be used in real-world clinical settings.METHODS:A total of 188 patients from outpatient clinic at He Eye Specialist Shenyang Hospital from Spetember to December 2022 were included,and 13470 infrared pupil images were collected for the study.All infrared images for pupil segmentation were labeled using the Labelme software.The computation of pupil diameter is divided into four steps:image pre-processing,pupil identification and localization,pupil segmentation,and diameter calculation.Two major models are used in the computation process:the modified YoloV3 and Deeplabv 3+models,which must be trained beforehand.RESULTS:The test dataset included 1348 infrared pupil images.On the test dataset,the modified YoloV3 model had a detection rate of 99.98% and an average precision(AP)of 0.80 for pupils.The DeeplabV3+model achieved a background intersection over union(IOU)of 99.23%,a pupil IOU of 93.81%,and a mean IOU of 96.52%.The pupil diameters in the test dataset ranged from 20 to 56 pixels,with a mean of 36.06±6.85 pixels.The absolute error in pupil diameters between predicted and actual values ranged from 0 to 7 pixels,with a mean absolute error(MAE)of 1.06±0.96 pixels.CONCLUSION:This study successfully demonstrates a robust infrared image-based pupil diameter measurement algorithm,proven to be highly accurate and reliable for clinical application. 展开更多
关键词 PUPIL infrared image algorithm deep learning model
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Dynamic Characteristics of Irregular Ice Floes Based on Polyhedral Discrete Element Method
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作者 LI Ji WANG Si-qiang +1 位作者 LIU Lu JI Shun-ying 《船舶力学》 EI CSCD 北大核心 2024年第12期1849-1863,共15页
In polar regions, floating ice exhibits distinct characteristics across a range of spatial scales. It is well recognized that the irregular geometry of these ice formations markedly influences their dynamic behavior. ... In polar regions, floating ice exhibits distinct characteristics across a range of spatial scales. It is well recognized that the irregular geometry of these ice formations markedly influences their dynamic behavior. This study introduces a polyhedral Discrete Element Method (DEM) tailored for polar ice, incorporating the Gilbert-Johnson-Keerthi (GJK) and Expanding Polytope Algorithm (EPA) for contact detection. This approach facilitates the simulation of the drift and collision processes of floating ice, effectively capturing its freezing and fragmentation. Subsequently, the stability and reli ability of this model are validated by uniaxial compression on level ice fields, focusing specifically on the influence of compression strength on deformation resistance. Additionally, clusters of ice floes nav igating through narrow channels are simulated. These studies have qualitatively assessed the effects of Floe Size Distribution (FSD), initial concentration, and circularity on their flow dynamics. The higher power-law exponent values in the FSD, increased circularity, and decreased concentration are each as sociated with accelerated flow in ice floe fields. The simulation results distinctly demonstrate the con siderable impact of sea ice geometry on the movement of clusters, offering valuable insights into the complexities of polar ice dynamics. 展开更多
关键词 discrete element method GJK-EPA algorithm sea ice dynamics floe geometry
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Design of Ocean Floating Structures:Prediction of Hydrodynamic Coefficients
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作者 LI Wei FAN Shaotao +1 位作者 WANG Jinxi LIU Tianhui 《南方能源建设》 2024年第6期18-32,共15页
[Introduction] Accurate calculation of the hydrodynamic coefficients for floating structures and the investigation of the flow field distribution around floating bodies on the marine free surface are essential for imp... [Introduction] Accurate calculation of the hydrodynamic coefficients for floating structures and the investigation of the flow field distribution around floating bodies on the marine free surface are essential for improving the engineering design and application of marine structures.[Method] This study utilized the computational fluid dynamics(CFD) approach and the Reynolds Averaged NavierStokes(RANS) method and considered the effects of viscosity and free surface interactions on the hydrodynamic behavior of floating structures.By employing the dynamic mesh technique,this study simulated the periodic movements of simplified three-dimensional(3D)shapes:spheres,cylinders,and cubes,which were representative of complex marine structures.The volume of fluid(VOF) method was leveraged to accurately track the nonlinear behavior of the free surface.In this analysis,the added mass and damping coefficients for the fundamental modes of motion(surge,heave,and roll) were calculated across a spectrum of frequencies,facilitating the fast determination of hydrodynamic forces and moments exerted on floating structures.[Result] The results of this study are not only consistent with the results of the 3D potential flow theory but also further reflect the role of viscosity.This method can be used for precise calculation of the hydrodynamic coefficients of floating structures and for describing the flow field of such structures in motion on a free surface.[Conclusion] The methodology presented goes beyond the traditional potential flow approach. 展开更多
关键词 Computational fluid dynamics ocean floating structures hydrodynamic coefficients fluid-structure interaction
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HARDWARE-BASED VOXELIZATION FOR TRUE 3-D DISPLAY 被引量:5
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作者 谭皓 杨忠 +1 位作者 李玉峰 沈春林 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第1期59-64,共6页
An efficient voxelization algorithm is presented for polygonal models by using the hardware support for the 2 D rasterization algorithm and the GPU programmable function to satisfy the volumetric display system. The v... An efficient voxelization algorithm is presented for polygonal models by using the hardware support for the 2 D rasterization algorithm and the GPU programmable function to satisfy the volumetric display system. The volume is sampled into slices by the rendering hardware and then slices are rasterated into a series of voxels. A composed buffer is used to record encoded voxels of the target volume to reduce the graphic memory requirement. In the algorithm, dynamic vertexes and index buffers are used to improve the voxelization efficiency. Experimental results show that the algorithm is efficient for a true 3-D display system. 展开更多
关键词 computer graphics VOXELIZATION volumetric display mesh model
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HYBRID APPROACH FOR ESTIMATING COUPLING EFFECT BETWEEN PROPELLANT SLOSHING DYNAMIC AND SPACECRAFT GNC
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作者 齐乃明 董锴 +1 位作者 李运迁 赵宝山 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第2期137-146,共10页
An approach based on equivalent mechanics theory and computational fluid dynamics (CFD) technology is proposed to estimate dynamical influence of propellant sloshing on the spacecraft. A mechanical model is estab- l... An approach based on equivalent mechanics theory and computational fluid dynamics (CFD) technology is proposed to estimate dynamical influence of propellant sloshing on the spacecraft. A mechanical model is estab- lished by using CFD technique and packed as a "sloshing" block used in spacecraft guidance navigation and control (GNC) simulation loop. The block takes motion characteristics of the spacecraft as inputs and outputs of pertur- bative force and torques induced by propellant sloshing, thus it is more convenient for analyzing coupling effect between propellant sloshing dynamic and spacecraft GNC than using CFD packages. An example demonstrates the accuracy and the superiority of the approach. Then, the deducing process is applied to practical cases, and simulation results validate that the proposed approach is efficient for identifying the problems induced by sloshing and evaluating effectiveness of several typical designs of sloshing suppression. 展开更多
关键词 equivalent mechanical model computational fluid dynamics(CFD)technique propellant sloshing
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NUMERICAL SIMULATION OF UNSTEADY-STATE UNDEREXPANDED JET USING DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD 被引量:3
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作者 陈二云 李志刚 +3 位作者 马大为 乐贵高 赵改平 任杰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第2期89-93,共5页
A discontinuous Galerkin finite element method (DG-FEM) is developed for solving the axisymmetric Euler equations based on two-dimensional conservation laws. The method is used to simulate the unsteady-state underex... A discontinuous Galerkin finite element method (DG-FEM) is developed for solving the axisymmetric Euler equations based on two-dimensional conservation laws. The method is used to simulate the unsteady-state underexpanded axisymmetric jet. Several flow property distributions along the jet axis, including density, pres- sure and Mach number are obtained and the qualitative flowfield structures of interest are well captured using the proposed method, including shock waves, slipstreams, traveling vortex ring and multiple Mach disks. Two Mach disk locations agree well with computational and experimental measurement results. It indicates that the method is robust and efficient for solving the unsteady-state underexpanded axisymmetric jet. 展开更多
关键词 jets computational fluid dynamics multiple Mach disks vortex ring discontinuous Galerkin finite element method
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IMPROVEMENTS IN HIDDEN LINE REMOVAL ALGORITHM FOR BI-PARAMETRIC SURFACES
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作者 李卫国 唐月红 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1998年第2期93-97,共5页
A hidden line removal algorithm for bi parametric surfaces is presented and illustrated by some experimental results. The enclosure test is done using area coordinates. A technique of moving box of encirclement is p... A hidden line removal algorithm for bi parametric surfaces is presented and illustrated by some experimental results. The enclosure test is done using area coordinates. A technique of moving box of encirclement is presented. It is found that the algorithm is of general purpose, requires minimal computer storage, has high accuracy and simplicity, and is very easy to be implemented on a computer. 展开更多
关键词 computational geometry computer graphics computer aided design hidden line removal area coordinates bi parametric surfaces
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NUMERICAL SIMULATION OF SUPERSONIC AXISYMMETRIC FLOW OVER MISSILE AFTERBODY WITH JET EXHAUST USING POSITIVE SCHEMES 被引量:1
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作者 朱孙科 马大为 +1 位作者 陈二云 乐贵高 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第3期255-261,共7页
Supersonic axisymmetric jet flow over a missile afterbody containing exhaust jet is simulated using the second order accurate positive schemes method developed for solving the axisymmetric Euler equations based on the... Supersonic axisymmetric jet flow over a missile afterbody containing exhaust jet is simulated using the second order accurate positive schemes method developed for solving the axisymmetric Euler equations based on the 2-D conservation laws.Comparisons between the numerical results and the experimental measurements show excellent agreements.The computed results are in good agreement with the numerical solutions obtained by using third order accurate RKDG finite element method.The results show larger gradient at discontinuous points compared with those obtained by second order accurate TVD schemes.It indicates that the presented method is efficient and reliable for solving the axisymmetric jet with external freestream flows,and shows that the method captures shocks well without numerical noise. 展开更多
关键词 computational fluid dynamics supersonic flow positive schemes numerical simulation
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IMPROVED ALGORITHM FOR CFD/CSD COUPLED SYSTEM DESIGN AND CALCULATION 被引量:4
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作者 安效民 徐敏 陈士橹 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2010年第2期162-169,共8页
The data information transfer and time marching strategies between computational fluid dynamics (CFD) and computational structural dynamics (CSD) play crucial roles on the aeroelastic analysis in a time domain. An... The data information transfer and time marching strategies between computational fluid dynamics (CFD) and computational structural dynamics (CSD) play crucial roles on the aeroelastic analysis in a time domain. An improved CFD/CSD coupled system is designed, including an interpolation method and an improved loosely coupled algorithm. The interpolation method based on boundary element method (BEM) is developed to transfer aerodynamic loads and structural displacements between CFD and CSD grid systems, it can be universally used in fluid structural interaction solution by keeping energy conservation. The improved loosely coupled algo-rithm is designed, thus it improves the computational accuracy and efficiency. The new interface is performed on the two-dimensional (2-D) extrapolation and the aeroelastie response of AGARD445.6 wing. Results show that the improved interface has a superior accuracy. 展开更多
关键词 computational fluid dynamics boundary element method data transfer fluid and structure interaction aeroelasticity
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A RECURSIVE GENERATIVE APPROACH IN OPTICAL PRISM CAPP
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作者 汪通悦 徐才千 +2 位作者 曾励 黄民双 陈进 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1999年第2期170-176,共7页
In this paper, the generative approach utilizes recursion to generate process sequence for a part, and then match detail procedure design and select process equipment. A set of recursive formulas are found. Finally ... In this paper, the generative approach utilizes recursion to generate process sequence for a part, and then match detail procedure design and select process equipment. A set of recursive formulas are found. Finally a complete process program is produced. The method is simple than that of the knowledge system, the artificial neural networks and variant approach computer aided process planning(VACAPP). 展开更多
关键词 optical prism computer aided process planning generative methods
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Simulation of Restraint System Performance upon the Occupant's Response During Impact
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作者 孙立清 林逸 孙逢春 《Journal of Beijing Institute of Technology》 EI CAS 1999年第2期96-102,共7页
Aim To study the influence of restraint system performance upon the occupant's response during impact, and provide a scientific base for occupant restraint system design. Methods \ In the light of basic th... Aim To study the influence of restraint system performance upon the occupant's response during impact, and provide a scientific base for occupant restraint system design. Methods \ In the light of basic theory of multibody system dynamics and impact dynamics on the basis of classical theory of impact, R W method is adopted to construct the vehicle occupant system model consisting of fourteen rigid bodies, thirty seven DOFs and slip joints for the simulation. A software named SVC3D(3 dimensional simulation of vehicle crash) is developed in the FORTRAN language. Results\ The results of simulation have a good coincidence with those of tests and the restraint system with low elongation webbing and equipped with pretensioner provides better restraint effect for the occupant. Conclusion\ The model of vehicle occupant multibody system and SVC3D are suitable for use. Occupant should be belted with low elongation webbing to a certain degree and occupant restraint system should be equipped with pretensioner. 展开更多
关键词 vehicle occupant multibody system model multibody system dynamics impact dynamics computer simulation vehicle passive safety
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Monitoring Longitudinal Vehicular Velocity by Using Driving Wheels Information 被引量:1
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作者 边明远 孙逢春 +1 位作者 陈思忠 李军 《Journal of Beijing Institute of Technology》 EI CAS 2002年第3期251-255,共5页
In order to enhance the accuracy and overcome the limitation of representing the vehicular velocity with non driving wheel speed signals, which is commonly used in researching on automotive dynamic control systems at... In order to enhance the accuracy and overcome the limitation of representing the vehicular velocity with non driving wheel speed signals, which is commonly used in researching on automotive dynamic control systems at present, the dynamic and kinematics models of running vehicles and wheels are established. The concept that expresses vehicle velocity using only the driving wheel speed information with adjustable weight factors is described and an algorithm is proposed. A Matlab program with the algorithm embedded is made to simulate the vehicle’s accelerating under different road conditions, and it’s simulation results coincide well with the experimental results, which demonstrates the validity of the algorithm. 展开更多
关键词 vehicular velocity driving wheel ALGORITHM longitudinal dynamics SLIP
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NUMERICAL SIMULATION OF THERMAL NON-EQUILIBRIUM RADIATION ON UNSTRUCTURED GRIDS
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作者 王逸斌 伍贻兆 刘学强 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第1期11-17,共7页
A numerical method is developed based on an unstructured mesh to compute an ionized hypersonic flowfield with radiation in the thermo-chemical nonequilibrium. The flowfield is described by multi-species NavierStocks e... A numerical method is developed based on an unstructured mesh to compute an ionized hypersonic flowfield with radiation in the thermo-chemical nonequilibrium. The flowfield is described by multi-species NavierStocks equations. The chemical model includes 11 species (O2, N2, O, N, NO, NO^+ , N^+ , O^+, N2^+ , O2^+, e^- ) and 20 reactions. For simulating the thermal non-equilibrium effect, the two-temperature model is considered. The finite volume method (FVM) used for the spatial and directional discretization of radiative transfer equation(RTE) is described for unstructured grids. The numerical code can handle different kinds of species and radiative bands in a gas thermodynamicly described by two temperatures. In particular, the Delta, Epsilon, Beta prime, and Gamma prime bands of NO are choosen and the distribution of the radiation intensity is obtained. 展开更多
关键词 computational fluid dynamics RADIATION THERMOCHEMISTRY NON-EQUILIBRIUM
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ANN Model and Learning Algorithm in Fault Diagnosis for FMS
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作者 史天运 王信义 +1 位作者 张之敬 朱小燕 《Journal of Beijing Institute of Technology》 EI CAS 1997年第4期45-53,共9页
The fault diagnosis model for FMS based on multi layer feedforward neural networks was discussed An improved BP algorithm,the tactic of initial value selection based on genetic algorithm and the method of network st... The fault diagnosis model for FMS based on multi layer feedforward neural networks was discussed An improved BP algorithm,the tactic of initial value selection based on genetic algorithm and the method of network structure optimization were presented for training this model ANN(artificial neural network)fault diagnosis model for the robot in FMS was made by the new algorithm The result is superior to the rtaditional algorithm 展开更多
关键词 fault diagnosis for FMS artificial neural network(ANN) improved BP algorithm optimization genetic algorithm learning speed
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NOVEL IMMERSED BOUNDARY-LATTICE BOLTZMANN METHOD BASED ON FEEDBACK LAW 被引量:1
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作者 李秀娟 赵荣国 钟诚文 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2012年第2期179-186,共8页
The lattice Boltzmann method (LBM) and the immersed boundary method (IBM) are alternative, com- putational techniques for solving complex fluid dynamics systems, and can take the place of the Navier-Stokes(N- S)... The lattice Boltzmann method (LBM) and the immersed boundary method (IBM) are alternative, com- putational techniques for solving complex fluid dynamics systems, and can take the place of the Navier-Stokes(N- S) equation. This paper proposes a novel immersed boundary-lattice Boltzmann method (IB-LBM) based on the feedback law. The method uses the immersed boundary concept in the LBM framework to capture the coupling between a body with complex geometry and a uniform fluid, Then, the flows around a stationary circular cylinder and two circular cylinders in a side by side arrangement are simulated by using the method. Results are agreed well with the benchmark data, so, the capability of the method for complex geometry is demonstrated. Different from the conventional IB-LBM, which uses the Hook's law or the direct forcing method to compute the interae- tion force, the method uses the feedback law--the feedback of velocity field and displacement information to calculate the force, thus ensuring the method has advantages of easy implementation and full parallelism. 展开更多
关键词 computational fluid dynamics lattice Boltzmann method immersed boundary method feedback law circular cylinder
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NUMERICAL SIMULATION ON AERODYNAMIC CHARACTERISTICS OF WINDBLAST PROTECTION AT HIGH SPEED 被引量:1
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作者 魏涛 张大林 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第4期268-273,共6页
The computational fluid dynamics (CFD) method is used to investigate the aerodynamic characteristics of the seat/occupant with windblast protection devices. The upwind Osher scheme is used for the spatial discretisa... The computational fluid dynamics (CFD) method is used to investigate the aerodynamic characteristics of the seat/occupant with windblast protection devices. The upwind Osher scheme is used for the spatial discretisation. The detached-eddy simulation (DES) based on the Spalart-Allmaras one-equation turbulence model is ap- plied to the detached viscous flow simulation behind the seat/occupant, with Mach numbers 0.6 and 1.2 at attack angles between --10 and 30°, and at two sideslip angles of 0 and 15°, respectively. The aerodynamic characteristics of seat/occupants with and without windblast protection devices are calculated in cases of the freestream Mach numbers 0. 8 and 1.6, attack angles from 5 to 30°, and three sideslip angles of 0, --20 and --50°, respectively. Results show that simulation results agree well with experimental data. And the occupant is efficiently protected by windblast protection devices. 展开更多
关键词 computational fluid dynamics seat/occupant systems upwind Osher scheme windblast protectionaerodynamic characteristics
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