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Relationship between stress field and apparent velocity and Poisson ratio fields
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作者 Li Shou-Yong Song Xiu-Qing 《Applied Geophysics》 2025年第1期110-118,234,共10页
Earthquakes are caused directly by the motion of the stress field,therefore,observing the stress field is significant.Experiments on the relationships among wave velocity,stress factors,and faults show that the wave v... Earthquakes are caused directly by the motion of the stress field,therefore,observing the stress field is significant.Experiments on the relationships among wave velocity,stress factors,and faults show that the wave velocity of rock media under stable stress fields corresponds one-to-one with stress factors.Therefore,the wave velocity gradient can indicate the direction of stress vector,and the gradient divergence can indicate the strength of the stress field.To verify the results,considering the limitations of wave velocity measurement in solid crustal media,two quantities,namely the apparent wave velocity and Poisson ratios relating to wave velocity,were used to refl ect the stress field state.The seismic data of the Tangshan and Luzhou regions were studied separately.The calculated apparent wave velocity and Poisson ratios were interpolated to achieve regional data gridding.The gradients and the gradient divergences of the apparent wave velocity and Poisson ratio fields in the two regions were analyzed,and it was found that their spatial distribution in the same region was the same.They are believed to refl ect the vertical projection of the stress direction vector and strength on the surface in the stress field,consistent with the experimental results.Whether it can eff ectively refl ect the stress field requires further analysis of the specific situation of the local medium and the movement mode of the stress field. 展开更多
关键词 stress field apparent wave velocity ratio field apparent poisson’s ratio field divergence of gradients
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Error Outage Probabilities of Dual-Hop Relay Channels in a Poisson Interference Field
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作者 LIU Qiuyan SONG Jiaying WANG Miao ZHONG Zhangdui 《China Communications》 SCIE CSCD 2010年第4期108-113,共6页
In the promising cooperative communication systems,network performance is mainly affected by interference instead of noise.In this paper,we consider the performance degraded by the Poisson filed interference in the du... In the promising cooperative communication systems,network performance is mainly affected by interference instead of noise.In this paper,we consider the performance degraded by the Poisson filed interference in the dual-hop relay channels.We focus on the discussions of error outage probability (EOP) performance with a selective-decode-and-forward (SDF),amplify-and-forward (AF),or fixed-decode-and-forward (DF) cooperation protocol.Finally,the simulation results present the performance with different cooperation protocols with interference in a Poisson field. 展开更多
关键词 Cooperative Communications Interference Performance poisson field Dual-hop Relay Error Outage Probability
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Investigation of the Tikhonov Regularization Method in Regional Gravity Field Modeling by Poisson Wavelets Radial Basis Functions 被引量:2
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作者 Yihao Wu Bo Zhong Zhicai Luo 《Journal of Earth Science》 SCIE CAS CSCD 2018年第6期1349-1358,共10页
The application of Tikhonov regularization method dealing with the ill-conditioned problems in the regional gravity field modeling by Poisson wavelets is studied. In particular, the choices of the regularization matri... The application of Tikhonov regularization method dealing with the ill-conditioned problems in the regional gravity field modeling by Poisson wavelets is studied. In particular, the choices of the regularization matrices as well as the approaches for estimating the regularization parameters are investigated in details. The numerical results show that the regularized solutions derived from the first-order regularization are better than the ones obtained from zero-order regularization. For cross validation, the optimal regularization parameters are estimated from L-curve, variance component estimation(VCE) and minimum standard deviation(MSTD) approach, respectively, and the results show that the derived regularization parameters from different methods are consistent with each other. Together with the firstorder Tikhonov regularization and VCE method, the optimal network of Poisson wavelets is derived, based on which the local gravimetric geoid is computed. The accuracy of the corresponding gravimetric geoid reaches 1.1 cm in Netherlands, which validates the reliability of using Tikhonov regularization method in tackling the ill-conditioned problem for regional gravity field modeling. 展开更多
关键词 regional gravity field modeling poisson wavelets radial basis functions Tikhonov regularization method L-CURVE variance component estimation(VCE)
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AN ASYMPTOTIC PRESERVING SCHEME FOR THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM IN THE HIGH FIELD REGIME
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作者 Shi Jin Li Wang 《Acta Mathematica Scientia》 SCIE CSCD 2011年第6期2219-2232,共14页
The Vlasov-Poisson-Fokker-Planck system under the high field scaling describes the Brownian motion of a large system of particles in a surrounding bath where both collision and field effects (electrical or gravitatio... The Vlasov-Poisson-Fokker-Planck system under the high field scaling describes the Brownian motion of a large system of particles in a surrounding bath where both collision and field effects (electrical or gravitational) are dominant. Numerically solving this system becomes challenging due to the stiff collision term and stiff nonlinear transport term with respect to the high field. We present a class of Asymptotic-Preserving scheme which is efficient in the high field regime, namely, large time steps and coarse meshes can be used, yet the high field limit is still captured. The idea is to combine the two stiff terms and treat them implicitly. Thanks to the linearity of the collision term, using the discretization described in [Jin S, Yah B. J. Comp. Phys., 2011, 230: 6420-6437] we only need to invert a symmetric matrix. This method can be easily extended to higher dimensions. The method is shown to be positive, stable, mass and asymptotic preserving. Numerical experiments validate its efficiency in both kinetic and high field regimes including mixing regimes. 展开更多
关键词 Vlasov-poisson-Fokker-Planck equation high field limit asymptoticpreserving schemes
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EFFECT OF THE POISSON RATIO ON THE PERFECTLY PLASTIC STRESS FIELD AT A STATIONARY PLANE-STRAIN CRACK TIP
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作者 林拜松 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第3期289-295,共7页
Under the condition that all the perfectly plastic stress components at a crack tip are the functions of ? only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this pape... Under the condition that all the perfectly plastic stress components at a crack tip are the functions of ? only, making use of equilibrium equations and Von-Mises yield condition containing Poisson ratio, in this paper, we derive the generally analytical expressions of perfectly plastic stress field at a stationary plane-strain crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the stationary tips of Mode I, Mode II and Mixed-Mode I-II plane-strain cracks are obtained. These analytical expressions contain Poisson ratio. 展开更多
关键词 poisson ratio PLANE-STRAIN stationary crack-tip perfectly-plastic stress fields generally analytical expression
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与Poisson流形上Poisson结构有关的讨论 被引量:7
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作者 宋军锋 侯传燕 王宝勤 《新疆师范大学学报(自然科学版)》 2003年第4期1-6,共6页
本文讨论了Poisson积流形的一些性质,得出了Hamilton向量场的若干公式;文中还引入Poisson群的概念,并给出了它在Poisson流形中的应用。
关键词 poisson流形 poisson结构 HAMILTON向量场 CASIMIR函数
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基于Poisson方程的曲线形状渐变方法 被引量:5
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作者 雷开彬 许栋 +1 位作者 王青 鲍虎军 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2007年第3期298-303,共6页
以定义在分段线性曲线上的离散Poisson方程为理论基础,提出了一种同时适用于平面和空间曲线形状渐变的方法.通过在源曲线和目标曲线上定义局部标架,给出了一种非线性梯度场插值算法,使得源曲线的梯度场逐步过渡到目标曲线的梯度场,所得... 以定义在分段线性曲线上的离散Poisson方程为理论基础,提出了一种同时适用于平面和空间曲线形状渐变的方法.通过在源曲线和目标曲线上定义局部标架,给出了一种非线性梯度场插值算法,使得源曲线的梯度场逐步过渡到目标曲线的梯度场,所得到的中间梯度场与用户指定的关键节点路径一起输入离散Poisson方程求解得到渐变序列.该方法不直接插值顶点坐标,而是将源曲线与目标曲线视为定义在公共定义域上的标量场,并在梯度域进行梯度场操纵.对中间帧曲线周长以及平面曲线所包围的内部面积变化的统计表明:该算法尽可能地保持了几何形状的刚性,在中间帧求解的稳定性方面该算法优于同类其他方法. 展开更多
关键词 poisson方程 分段线性曲线 形状渐变 梯度场操纵
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圆域外Poisson方程Numann问题解的积分表达式 被引量:1
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作者 郭时光 《宜宾学院学报》 2012年第6期19-20,共2页
采用分离变数法与求和函数法,得出了圆域外Poisson方程Numann问题解的积分表达式,所得结果可以用于理论分析.
关键词 圆域 poisson 方程 Numann 问题 Green 函数
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关于Poisson流形上的Casimir函数 被引量:3
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作者 王宝勤 刘亚军 《新疆师范大学学报(自然科学版)》 2000年第1期1-3,共3页
本文先叙述了与 Poisson 流形和 Casimir函数有关的概念和符号;再利用广义 Poisson括号的独特性质对Poisson 流形上的Casimir函数进行了讨论,得出了构造新Casimir函数以及与Casimi... 本文先叙述了与 Poisson 流形和 Casimir函数有关的概念和符号;再利用广义 Poisson括号的独特性质对Poisson 流形上的Casimir函数进行了讨论,得出了构造新Casimir函数以及与Casimir函数相关的广义Hamilton向量场之间关系的几个命题。 展开更多
关键词 Pisson流形 CASIMIR函数 广义哈密尔顿向量场
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Molodensky-Poisson核函数应用于重力异常向下延拓分析 被引量:4
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作者 荣敏 周巍 翟振和 《大地测量与地球动力学》 CSCD 北大核心 2015年第2期312-317,共6页
分析标准Poisson核函数和Molodensky-Poisson核函数特性,并计算其远区效应的截断误差,获取与延拓高度、积分半径和截断阶次的关系。分析认为,Molodensky-Poisson核函数能够抑制远区的影响,当延拓高度不高于3km,积分半径至少0.5°时... 分析标准Poisson核函数和Molodensky-Poisson核函数特性,并计算其远区效应的截断误差,获取与延拓高度、积分半径和截断阶次的关系。分析认为,Molodensky-Poisson核函数能够抑制远区的影响,当延拓高度不高于3km,积分半径至少0.5°时,其截断误差在1mGal以内;当积分半径为1°时,其截断误差在10μGal量级,可满足计算1cm大地水准面目标的要求。 展开更多
关键词 Molodensky-poisson核函数 截断误差 地球重力场位模型
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有关Poisson流形同构的讨论
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作者 侯传燕 袁丽霞 岳祥振 《新疆师范大学学报(自然科学版)》 2007年第3期5-6,14,共3页
文章给出了有关Poisson流形同构的两个命题,同时得到由1—形式诱导的向量场是辛向量场的两个等价的充要条件.
关键词 poisson流形 poisson同构 辛向量场
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重力场Dirichlet问题解的随机Poisson积分表示 被引量:3
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作者 邓波 朱灼文 陆中 《武汉大学学报(信息科学版)》 EI CSCD 北大核心 2004年第7期635-637,657,共4页
在球近似下 ,顾及到庞大复杂的边界数据 ,借助重力场随机模型框架 ,直接给出了调和重力随机场Dirichlet问题解的随机积分表达式———随机Poisson积分式 ,并讨论了这个广义随机泛函与经典Poisson积分表达式的关系。
关键词 重力场 DIRICHLET问题 随机poisson积分
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随机Poisson方程Dirichlet大地边值问题的随机积分解 被引量:1
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作者 黄金水 朱灼文 《武汉大学学报(信息科学版)》 EI CSCD 北大核心 2005年第10期900-904,共5页
利用随机微分方程理论,给出了随机Poisson方程Dirichlet大地边值问题的随机积分解,讨论了随机与确定边值问题间的关联。对应视为随机过程的函数,若采用确定性边值问题求解,不确定性影响将被直接带入最终解中;若采用随机积分解,则类似Ga... 利用随机微分方程理论,给出了随机Poisson方程Dirichlet大地边值问题的随机积分解,讨论了随机与确定边值问题间的关联。对应视为随机过程的函数,若采用确定性边值问题求解,不确定性影响将被直接带入最终解中;若采用随机积分解,则类似Gauss白噪声的影响将被滤掉,这对进一步提高重力场的求解精度具有重要影响。 展开更多
关键词 重力场 边值问题 随机微分方程 随机积分 poisson方程 DIRICHLET问题
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Size dependency and potential field influence on deriving mechanical properties of carbon nanotubes using molecular dynamics 被引量:3
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作者 K.G.S.Dilrukshi M.A.N.Dewapriya U.G.A.Puswewala 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2015年第4期167-172,共6页
A thorough understanding on the mechanical properties of carbon nanotube (CNT) is essential in extending the advanced applications of CNT based systems. However, conducting experiments to estimate mechanical propert... A thorough understanding on the mechanical properties of carbon nanotube (CNT) is essential in extending the advanced applications of CNT based systems. However, conducting experiments to estimate mechanical properties at this scale is extremely challenging. Therefore, development of mechanistic models to estimate the mechanical properties of CNTs along with the integration of existing continuum mechanics concepts is critically important. This paper presents a comprehensive molecular dynamics simulation study on the size dependency and potential function influence of mechanical properties of CNT. Commonly used reactive bond order (REBO) and adaptive intermolecular reactive bond order (A1REBO) potential functions were considered in this regard. Young's modulus and shear modulus of CNTs are derived by integrating classical continuum mechanics concepts with molecular dynamics simulations. The results indicate that the potential function has a significant influence on the estimated mechanical properties of CNTs, and the influence of potential field is much higher when studying the torsional behaviour of CNTs than the tensile behaviour. 展开更多
关键词 Carbon nanotubes Molecular dynamics Potential field Shear modulus poisson's ratio
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负Poisson比热电器件的热-电-力耦合弯曲特征及强度分析 被引量:1
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作者 崔有江 刘超 +2 位作者 陈家鹏 王彪 王保林 《应用数学和力学》 CSCD 北大核心 2024年第10期1243-1255,共13页
随着智能可穿戴设备的快速发展,对供电元件的续航时间、便捷性以及轻量化等提出了更高要求.热电器件可以直接将人体新陈代谢释放的热能转换为电能,为可穿戴设备持续供电.利用整体-局部、细观-宏观相结合的分析方法,该文研究了负Poisson... 随着智能可穿戴设备的快速发展,对供电元件的续航时间、便捷性以及轻量化等提出了更高要求.热电器件可以直接将人体新陈代谢释放的热能转换为电能,为可穿戴设备持续供电.利用整体-局部、细观-宏观相结合的分析方法,该文研究了负Poisson比热电器件的热-电-力耦合弯曲行为及其强度失效问题.首先,通过建立负Poisson比热电器件的均质化分析模型,获取了器件的宏观弯曲特征,并给出了应力最大的截面.然后,建立热电蜂窝的受力分析模型,利用热力学强度理论导出了胞壁的细观强度失效临界荷载.研究发现:热电蜂窝的应力水平随着内凹角增大呈现先减小后增加的趋势;对于负Poisson比热电蜂窝,强度失效首先发生在中间部位;对于传统的六边形热电蜂窝,端部比中间部位先发生强度破坏;热电器件发生断裂破坏时,中间和端部的临界裂纹长度近似相等,可以拟合为内凹角的指数函数. 展开更多
关键词 热电器件 poisson比结构 强度失效 多场耦合
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Modeling of the drain-induced barrier lowering effect and optimization for a dual-channel 4H silicon carbide metal semiconductor field effect transistor
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作者 张现军 杨银堂 +3 位作者 段宝兴 柴常春 宋坤 陈斌 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第3期395-399,共5页
A new analytical model to describe the drain-induced barrier lowering(DIBL) effect has been obtained by solving the two-dimensional(2D) Poisson’s equation for the dual-channel 4H-SiC MESFET(DCFET).Using this analytic... A new analytical model to describe the drain-induced barrier lowering(DIBL) effect has been obtained by solving the two-dimensional(2D) Poisson’s equation for the dual-channel 4H-SiC MESFET(DCFET).Using this analytical model,we calculate the threshold voltage shift and the sub-threshold slope factor of the DCFET,which characterize the DIBL effect.The results show that they are significantly dependent on the drain bias,gate length as well as the thickness and doping concentration of the two channel layers.Based on this analytical model,the structure parameters of the DCFET have been optimized in order to suppress the DIBL effect and improve the performance. 展开更多
关键词 drain-induced barrier lowering effect poisson’s equation metal semiconductor field effect transistor
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Modeling of the drain-induced barrier lowering effect and optimization for a dual-channel 4H silicon carbide metal semiconductor field effect transistor
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《Chinese Physics B》 SCIE EI CAS CSCD 2012年第3期395-399,共5页
A new analytical model to describe the drain-induced barrier lowering (DIBL) effect has been obtained by solving the two-dimensional (2D) Poisson's equation for the dual-channel 4H-SiC MESFET (DCFET). Using thi... A new analytical model to describe the drain-induced barrier lowering (DIBL) effect has been obtained by solving the two-dimensional (2D) Poisson's equation for the dual-channel 4H-SiC MESFET (DCFET). Using this analytical model, we calculate the threshold voltage shift and the sub-threshold slope factor of the DCFET, which characterize the DIBL effect. The results show that they are significantly dependent on the drain bias, gate length as well as the thickness and doping concentration of the two channel layers. Based on this analytical model, the structure parameters of the DCFET have been optimized in order to suppress the DIBL effect and improve the performance. 展开更多
关键词 drain-induced barrier lowering effect poisson's equation metal semiconductor field effect transistor
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New 4H silicon carbide metal semiconductor field-effect transistor with a buffer layer between the gate and the channel layer
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作者 Zhang Xian-Jun Yang Yin-Tang +3 位作者 Duan Bao-Xing Chen Bin Chai Chang-Chun Song Kun 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第1期419-425,共7页
A new 4H silicon carbide metal semiconductor field-effect transistor (4H-SiC MESFET) structure with a buffer layer between the gate and the channel layer is proposed in this paper for high power microwave applicatio... A new 4H silicon carbide metal semiconductor field-effect transistor (4H-SiC MESFET) structure with a buffer layer between the gate and the channel layer is proposed in this paper for high power microwave applications. The physics-based analytical models for calculating the performance of the proposed device are obtained by solving one- and two-dimensional Poisson's equations. In the models, we take into account not only two regions under the gate but also a third high field region between the gate and the drain which is usually omitted. The direct-current and the alternating- current performances for the proposed 4H-SiC MESFET with a buffer layer of 0.2 ~tm are calculated. The calculated results are in good agreement with the experimental data. The current is larger than that of the conventional structure. The cutoff frequency (fT) and the maximum oscillation frequency (fmax) are 20.4 GHz and 101.6 GHz, respectively, which are higher than 7.8 GHz and 45.3 GHz of the conventional structure. Therefore, the proposed 4H-SiC MESFET structure has better power and microwave performances than the conventional structure. 展开更多
关键词 4H silicon carbide metal semiconductor field-effect transistor poisson's equation
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沿激光正交方向多点测量场致二次谐波的轴对称电场空间分布重构方法
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作者 陈慎 贺恒鑫 +2 位作者 陈盈 刘畅 陈维江 《电工技术学报》 北大核心 2025年第21期6844-6855,共12页
基于场致二次谐波效应(E-FISH)的电场测量方法具有高时空分辨的优势,但其在不均匀电场中的应用依赖等效间隙或先验计算来确定被测场与二次谐波的标定关系,制约了其在气体放电电场诊断中的应用。为此,该文提出一种沿激光正交方向多点测量... 基于场致二次谐波效应(E-FISH)的电场测量方法具有高时空分辨的优势,但其在不均匀电场中的应用依赖等效间隙或先验计算来确定被测场与二次谐波的标定关系,制约了其在气体放电电场诊断中的应用。为此,该文提出一种沿激光正交方向多点测量E-FISH信号重构轴对称不均匀电场空间分布的方法,推导了基于被测场线性离散结合正交光路扫描E-FISH信号的电场反演模型,定量分析了瑞利距离、测量点配置对反演方程组系数矩阵条件数的影响,当瑞利距离与场域半径比值大于0.1时,该方法对电场空间梯度的捕获能力可提升至沿激光方向多点测量的重构方法的5倍。此外,开展了棒-棒和棒-板间隙拉普拉斯电场分布实测,轴线电场与有限元结果平均偏差小于10%,并获得了不同电压2 cm棒-板间隙中正极性辉光电晕的泊松电场分布。随着施加电压增加,棒电极附近泊松场强逐渐低于其拉普拉斯场强,而板电极附近泊松场强逐渐高于其拉普拉斯场强。该文提出的线性反演方程组较现有多点测量电场重构方法具有更强的抗扰动能力。 展开更多
关键词 气体放电 轴对称不均匀电场 正辉光电晕 场致二次谐波效应 泊松电场
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BOS测量密度场泊松方程源项快速计算方法 被引量:1
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作者 张建 张征宇 +4 位作者 杨洋 钱丰学 李小霞 王材钢 罗家杰 《航空学报》 北大核心 2025年第17期59-70,共12页
背景纹影(BOS)是非接触测量流场密度的重要手段,通常采用有限差分法求解泊松方程计算投影密度场,但现有方法计算泊松方程源项(即网格节点上光线偏折角的一阶偏导数)耗时长、突变处精度差。为此,提出基于BOS测量密度场的泊松方程源项快... 背景纹影(BOS)是非接触测量流场密度的重要手段,通常采用有限差分法求解泊松方程计算投影密度场,但现有方法计算泊松方程源项(即网格节点上光线偏折角的一阶偏导数)耗时长、突变处精度差。为此,提出基于BOS测量密度场的泊松方程源项快速计算方法。基于BOS各测量点的光线偏折角数据,创建测量点坐标与光线偏折角场间的哈希函数,旨在快速查找以给定点为中心的局部区域BOS测量点集合及其光线偏折角;建立光线偏折角场中偏折角突变测量点捕捉方法,按突变测量点划分区域,推导并构造区域内偏折角插值型求导公式,基于哈希表和插值型求导公式,分别计算各区域均匀网格节点上光线偏折角的偏导数。仿真试验结果表明:较现有泊松方程源项计算方法,本方法的残差绝对值减小了56.66%,峰值误差减小了75.8%。风洞试验结果表明:较现有方法,本方法解得的空腔模型密度场更精细,加速比为411.85;2 m超风洞“7°(半锥角)的锥柱体模型和某声爆模型”头部微弱激波的测量结果与理论值吻合,激波两侧密度比的最大相对误差为3.9%,流场密度解算正确。因此,本方法提高了密度场测量的速率、精度与微弱激波捕捉能力,工程应用价值大。 展开更多
关键词 密度场重建 光线偏折角 背景纹影 泊松方程 哈希函数
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