38 resultados para Cartesian grids


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Whether mice perceive the depth of space dependent on the visual size of object targets was explored when visual cues such as perspective and partial occlusion in space were excluded. A mouse was placed on a platform the height of which is adjustable. The platform located inside a box in which all other walls were dark exception its bottom through that light was projected as a sole visual cue. The visual object cue was composed of 4x4 grids to allow a mouse estimating the distance of the platform relative to the grids. Three sizes of grids reduced in a proportion of 2/3 and seven distances with an equal interval between the platform and the grids at the bottom were applied in the experiments. The duration of a mouse staying on the platform at each height was recorded when the different sizes of the grids were presented randomly to test whether the Judgment of the mouse for the depth of the platform from the bottom was affected by the size information of the visual target. The results from all conditions of three object sizes show that time of mice staying on the platform became longer with the increase in height. In distance of 20 similar to 30 cm, the mice did not use the size information of a target to judge the depth, while mainly used the information of binocular disparity. In distance less than 20 cm or more than 30 cm, however, especially in much higher distance 50 cm, 60 cm and 70 cm, the mice were able to use the size information to do so in order to compensate the lack of binocular disparity information from both eyes. Because the mice have only 1/3 of the visual field that is binocular. This behavioral paradigm established in the current study is a useful model and can be applied to the experiments using transgenic mouse as an animal model to investigate the relationships between behaviors and gene functions.

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分析了现有的网格认证框架中存在的问题,提出了一种基于身份的多信任域网格认证模型.该模型以基于身份的PKI为基础,避免了基于传统PKI的认证框架的诸多缺点.同时,该模型提供了跨信任域的双向实体认证功能.模拟试验表明,该认证模型比基于传统PKI的认证框架更轻量、更高效.而且由于该模型可以在多信任域的环境下工作,故而比W Mao提出的只能在单一信任域中工作的认证框架更符合网格认证的实际需要.

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An augmented immersed interface method (IIM) is proposed for simulating one-phase moving contact line problems in which a liquid drop spreads or recoils on a solid substrate. While the present two-dimensional mathematical model is a free boundary problem, in our new numerical method, the fluid domain enclosed by the free boundary is embedded into a rectangular one so that the problem can be solved by a regular Cartesian grid method. We introduce an augmented variable along the free boundary so that the stress balancing boundary condition is satisfied. A hybrid time discretization is used in the projection method for better stability. The resultant Helmholtz/Poisson equations with interfaces then are solved by the IIM in an efficient way. Several numerical tests including an accuracy check, and the spreading and recoiling processes of a liquid drop are presented in detail. (C) 2010 Elsevier Ltd. All rights reserved.

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We developed a direct partitioning method to construct a seamless discrete global grid system (DGGS) with any resolution based on a two-dimensional projected plane and the earth ellipsoid. This DGGS is composed of congruent square grids over the projected plane and irregular ellipsoidal quadrilaterals on the ellipsoidal surface. A new equal area projection named the parallels plane (PP) projection derived from the expansion of the central meridian and parallels has been employed to perform the transformation between the planar squares and the corresponding ellipsoidal grids. The horizontal sides of the grids are parts of the parallel circles and the vertical sides are complex ellipsoidal curves, which can be obtained by the inverse expression of the PP projection. The partition strategies, transformation equations, geometric characteristics and distortions for this DGGS have been discussed. Our analysis proves that the DGGS is area-preserving while length distortions only occur on the vertical sides off the central meridian. Angular and length distortions positively correlate to the increase in latitudes and the spanning of longitudes away from a chosen central meridian. This direct partition only generates a small number of broken grids that can be treated individually.

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The structural and performance inhomogeneities of gelatin gel can directly affect its application as a kind of functional material. The structural inhomogeneity of gelatin caused by the uneven and unstable temperature field has been analyzed by the finite element method in our previous work. Further in this paper, the performance inhomogeneity of gelatin which is closely connected with the actual application is numerically analyzed during the gelation process, which includes the inhomogeneities of the optical and mechanical properties of gelatin gels. The time required for reaching the gel point at different spatial grids is exhibited and discussed. The calculated results also show that the equilibrium shear modulus of gelatin is dependent on the thermal history.

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Seasonal variations of water exchange in the Luzon Strait are studied numerically using the improved Princeton Ocean Model (POM) with a consideration of the effects of connectivity of South China Sea (SCS) and monsoons. The numerical simulations are carried out with the strategy of variable grids, coarse grids for the Pacific basin and fine grids for the SCS. It. is shown that the Mindoro Strait plays an important role in adjusting the water balance between the Pacific and the SCS. The SCS monsoon in summer seasons hinders the entrance of the Pacific water into the SCS through the Luzon Strait while the SCS monsoon in winter seasons promotes the entrance of Pacific water into the SCS through the Luzon Strait. However, the SCS monsoon does not affect the annual mean Luzon Strait transport, as is mainly determined by the Pacific basin wind.

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提出了一种用于工业机器人时间最优轨迹规划及轨迹控制的新方法,它可以确保在关节位移、速度、加速度以及二阶加速度边界值的约束下,机器人手部沿笛卡尔空间中规定路径运动的时间阳短。在这种方法中,所规划的关节轨迹都采用二次多项式加余弦函数的形式,不仅可以保证各关节运动的位移、速度 、加速度连续而且还可以保证各关节运动的二阶加速度连续。采用这种方法,既可以提高机器人的工作效率又可以延长机器人的工作寿命以PUMA560机器人为对象进行了计算机仿真和机器人实验,结果表明这种方法是正确的有效的。它为工业机器人在非线性运动学约束条件下的时间最优轨迹规划及控制问题提供了一种较好的解决方案。

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为避免繁琐的机器人示教过程,提出一种离线的基于波扩散方法的工业机器人路径规划算法.首先对机器人的工作空间离散化,针对工作空间中的障碍点和自由点进行二值标记;然后用波扩散方法对自由点进一步标记,并进行了路径搜索;最后,对波扩散法与深度优先算法路径搜索进行了比较.将该算法用于6-自由度工业机器人的仿真实验,得到了满意的效果.

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在主从式UUV 协作系统中,由于定位和导航的需要,要求尽快估计出从UUV 的航行参数,但通常所用的递推最小二乘(RLS)算法,其初始方位测量对滤波结果影响大且存在收敛速度慢、计算精度低的缺点,难以满足应用需求,而推广卡尔曼滤波(EKF)算法能较好地克服上述问题。在直角坐标系下(CEKF),方位信息与距离信息相互耦合导致初始振荡剧烈,改为混合坐标系(MEKF)后问题得到了极大的改善。最后,通过仿真及现场试验验证了此改进方法的有效性。

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本文主要研究基于跟随领航者法的多 UUV(unmanned underwater vehicle)队形控制。在 UUV 载体坐标系下建立系统的运动学模型,该模型是对笛卡尔坐标系下的运动学模型的改进,避免了极坐标系下奇异点的出现。该模型经过输入输出反馈线性化,获得稳定的队形控制器。同时,为了缩小队形控制律中的控制参数的调整范围,本文提出了辅助算法,在此基础上分析参数的有效范围。将队形控制律在多 UUV 数字仿真平台上验证,证实了改进的运动学模型和控制律的有效性。

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实现AUV水下发射和对接是解决AUV水下能源补充,水下数据交换和故障检测,实现AUV整个作业过程完全自主的必要前提。而AUV水下发射和对接运动的流场为多个物体运动的流场耦合叠加,对AUV的运动影响不同于无界流场中的单体运动,因此非常有必要研究多体相对运动的绕流场对AUV运动的影响,以实现AUV水下发射和对接的高精度控制,最终实现AUV水下发射和对接工程。 本文为获得AUV水下发射和对接过程数值模拟,针对水下单体、多体的三维大位移运动边界数值仿真问题提出了一种基于动态混合网格数值仿真的方法。主要解决了关键的三个方面问题:1)如何根据流场的特性划分网格拓扑结构,建立适合物体运动的网格;2)如何适应移动边界运动的任意性,建立相应的控制方程,并构建相应的运动区域方法和网格更新方法;3)如何实现移动网格的加速求解并保持计算精度。本文的主要研究内容为: 1) 针对复杂单一域提出一种基于八叉树、Delaunay三角化、层面推进法和前沿推进法的三维混合网格生成方法;对复杂多域提出块混合网格生成方法。数值结果表明,采用本文提出的这两种网格划分方法能适应复杂区域的网格划分,同时能满足流场分布特性,减少网格数量,提高网格划分的质量,提高数值求解精度。 2) 从提高ALE描述的控制方程计算精度方面,提出了三维动态混合网格方 法、改进动态混合网格方法和动态层混合网格方法分别适用于不同运动模式下的网格运动更新。这样不仅能描述任意形式的物体运动,而且能遵守ALE描述控制方程的守恒性,同时提高网格更新的速度,网格更新后的质量和数值求解的精度。 3) 针对多体非定常数值求解耗时,本文提出了动态混合网格并行计算模型,采用基于区域分解的分块耦合并行算法来加速数值求解速度。在不损失计算精度的前提下获得了很高的并行计算加速比。 4) 为了验证移动网格法数值求解的精度,本文首先对单个复杂形状的AUV进行了非定常直航和非定常回转运动的运动边界数值仿真,并用试验和定常求解结果和非定常附加动量源方法验证了移动网格法数值求解的精度。 5) 本文将混合网格方法、移动网格方法和并行计算方法应用到了AUV从发射管发射和对接发射管两个过程的三维大位移运动边界数值仿真中,并用理论值和定常结果验证了数值求解的精度,得到AUV发射过程和对接过程的流场水动力特性,并通过理论和数值试验,提出AUV水下发射和对接方案。

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研究了移动机器人反馈控制问题.这里所考虑的机器人是一个两轮驱动的具有非完整性的移动机器人小车.考虑了笛卡儿空间中轨线跟踪问题的扩展.且表明只要参考小车保持运动,在虚设的参考小车位形周围的小车位形的稳定成为可能.提出了最优控制律并给出了仿真结果。

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对龙门式直角坐标机器人的核心部件-Y轴横梁进行了有限元计算和分析。首先对直角坐标机器人的Y轴横梁进行建模,利用ANSYS软件分析计算出横梁的变形分布情况,然后对其分布规律做简要的分析,为后续的横梁结构优化设计提供理论依据。

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Seismic Numerical Modeling is one of bases of the Exploratory Seismology and Academic Seismology, also is a research field in great demand. Essence of seismic numerical modeling is to assume that structure and parameters of the underground media model are known, simulate the wave-field and calculate the numerical seismic record that should be observed. Seismic numerical modeling is not only a means to know the seismic wave-field in complex inhomogeneous media, but also a test to the application effect by all kinds of methods. There are many seismic numerical modeling methods, each method has its own merits and drawbacks. During the forward modeling, the computation precision and the efficiency are two pivotal questions to evaluate the validity and superiority of the method. The target of my dissertation is to find a new method to possibly improve the computation precision and efficiency, and apply the new forward method to modeling the wave-field in the complex inhomogeneous media. Convolutional Forsyte polynomial differentiator (CFPD) approach developed in this dissertation is robust and efficient, it shares some of the advantages of the high precision of generalized orthogonal polynomial and the high speed of the short operator finite-difference. By adjusting the operator length and optimizing the operator coefficient, the method can involve whole and local information of the wave-field. One of main tasks of the dissertation is to develop a creative, generalized and high precision method. The author introduce convolutional Forsyte polynomial differentiator to calculate the spatial derivative of seismic wave equation, and apply the time staggered grid finite-difference which can better meet the high precision of the convolutional differentiator to substitute the conventional finite-difference to calculate the time derivative of seismic wave equation, then creating a new forward method to modeling the wave-field in complex inhomogeneous media. Comparing with Fourier pseudo-spectral method, Chebyshev pseudo-spectral method, staggered- grid finite difference method and finite element method, convolutional Forsyte polynomial differentiator (CFPD) method has many advantages: 1. Comparing with Fourier pseudo-spectral method. Fourier pseudo-spectral method (FPS) is a local operator, its results have Gibbs effects when the media parameters change, then arose great errors. Therefore, Fourier pseudo-spectral method can not deal with special complex and random heterogeneous media. But convolutional Forsyte polynomial differentiator method can cover global and local information. So for complex inhomogeneous media, CFPD is more efficient. 2. Comparing with staggered-grid high-order finite-difference method, CFPD takes less dots than FD at single wave length, and the number does not increase with the widening of the studying area. 3. Comparing with Chebyshev pseudo-spectral method (CPS). The calculation region of Chebyshev pseudo-spectral method is fixed in , under the condition of unchangeable precision, the augmentation of calculation is unacceptable. Thus Chebyshev pseudo-spectral method is inapplicable to large area. CFPD method is more applicable to large area. 4. Comparing with finite element method (FE), CFPD can use lager grids. The other task of this dissertation is to study 2.5 dimension (2.5D) seismic wave-field. The author reviews the development and present situation of 2.5D problem, expatiates the essentiality of studying the 2.5D problem, apply CFPD method to simulate the seismic wave-field in 2.5D inhomogeneous media. The results indicate that 2.5D numerical modeling is efficient to simulate one of the sections of 3D media, 2.5D calculation is much less time-consuming than 3D calculation, and the wave dispersion of 2.5D modeling is obviously less than that of 3D modeling. Question on applying time staggered-grid convolutional differentiator based on CFPD to modeling 2.5D complex inhomogeneous media was not studied by any geophysicists before, it is a fire-new creation absolutely. The theory and practices prove that the new method can efficiently model the seismic wave-field in complex media. Proposing and developing this new method can provide more choices to study the seismic wave-field modeling, seismic wave migration, seismic inversion, and seismic wave imaging.

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I address of reconstruction of spatial irregular sampling seismic data to regular grids. Spatial irregular sampling data impairs results of prestack migration, multiple attenuations, spectra estimation. Prestack 5-D volumes are often divided into sub-sections for further processing. Shot gathers are easy to obtain from irregular sampling volumes. My strategy for reconstruction is as follows: I resort irregular sampling gathers into a form of easy to bin and perform bin regularization, then utilize F-K inversion to reconstruct seismic data. In consideration of poor ability of F-K regularization to fill in large gaps, I sort regular sampling gathers to CMP and proposed high-resolution parabolic Radon transform to interpolate data and extrapolate offsets. To strong interfering noise--multiples, I use hybrid-domain high-resolution parabolic Radon transform to attenuate it. F-K regularization demand ultimately for lower computing costs. I proposed several methods to further improve efficiency of F-K inversion: first I introduce 1D and 2D NFFT algorithm for a rapid calculation of DFT operators; then develop fast 1D and 2D CG method to solve least-square equations, and utilize preconditioner to accelerate convergence of CG iterations; what’s more, I use Delaunay triangulation for weight calculation and use bandlimit frequency and varying bandwidth technique for competitive computation. Numerical 2D and 3D examples are offered to verify reasonable results and more efficiency. F-K regularization has poor ability to fill in large gaps, so I rearrange data as CMP gathers and develop hybrid-domain high-resolution parabolic Radon transforms which be used ether to interpolate null traces and extrapolate near and far offsets or suppress a strong interfere noise: multiples. I use it to attenuate multiples to verify performances of our algorithm and proposed routines for industrial application. Numerical examples and field data examples show a nice performance of our method.