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An accurate scheme for gas dynamical calculations 一个精确的气体动力学计算方案
Pub Date : 2003-12-01 DOI: 10.1142/S1465876303002209
M. K. Mawlood, W. Asrar, A. Omar, Megat M. H. M. Ahmad
An accurate numerical method is developed for computing inviscid flows containing discontinuities. The method is based on flux vector splitting (FVS) and a third-order accurate upwind-biased compact finite-difference scheme. Two different flux splitting techniques, namely, the kinetic flux vector splitting (KFVS) and van Leer's flux splitting, are used to solve one-dimensional gas dynamics test problems. The idea of total variation diminishing (TVD) is employed to suppress spurious numerical oscillations. The stability and high-order accuracy of the scheme are shown.
提出了一种计算含不连续面无粘流的精确数值方法。该方法基于通量矢量分裂(FVS)和三阶精确逆风偏紧有限差分格式。采用两种不同的通量分裂技术,即动能通量矢量分裂(KFVS)和van Leer通量分裂来解决一维气体动力学测试问题。采用总变差递减(TVD)的思想来抑制伪数值振荡。证明了该方案的稳定性和高阶精度。
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引用次数: 1
Axisymmetric transient heat conduction analysis by bem via particular integrals 用特定积分法分析轴对称瞬态热传导
Pub Date : 2003-12-01 DOI: 10.1142/S1465876303002180
K. Park, P. K. Banerjee
A particular integral formulation is presented for purely axisymmetric transient potential flow (heat conduction) analysis. The axisymmetric steady-state heat conduction equation is used as the complementary solution and the particular integrals for temperature and flux are derived by integrating the recently published three-dimensional formulation along the circumferential direction to obtain the required formulation involving elliptic integrals. The numerical results for three example problems are given and compared with their analytical solutions. Generally, agreement among all of those results is satisfactory, if a few interior points are added to the system equations along with the usual boundary points.
对纯轴对称瞬态势流(热传导)分析提出了一个特殊的积分公式。采用轴对称稳态热传导方程作为补充解,对最近发表的三维公式沿周向进行积分,得到所需的椭圆积分公式,得到温度和通量的特积分。给出了三个算例的数值结果,并与解析解进行了比较。一般来说,如果在系统方程中加入一些内部点和通常的边界点,所有这些结果之间的一致性是令人满意的。
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引用次数: 3
The meshless approach for the cell method: a new way for the numerical solution of discrete conservation laws 单元法的无网格化方法:一种离散守恒律数值解的新方法
Pub Date : 2003-12-01 DOI: 10.1142/S1465876303002210
L. Zovatto, M. Nicolini
A new methodology for the solution of discrete conservation laws, based on a point by point approach, is presented. For each node, a local mesh is firstly generated, made up of all triangles whose vertices coincide with the node itself and its neighbours. The solution is then determined through mass, energy and momentum balances directly written in a discrete form over a tributary region, represented by the polygon whose vertices are the barycenters and/or the circumcenters of the triangles belonging to the local mesh. This approach avoids global mesh generation (computationally much more expensive), and is particularly efficient for non-linear problems, such as fracture mechanics. In the paper, the numerical method is described in detail for Laplace equation, together with the convergence order as a function of the number of nodes and the type of boundary conditions. Finally, in order to further simplify the procedure, it is proposed to consider the tributary area formed by the circle with center in the generic node and radius equal to the average of the distances between the node and its neighbours. This results in a considerable ease in writing the discrete form of the governing equations, while maintaining the same accuracy and order of convergence than the approach based on local triangles.
提出了一种求解离散守恒律的新方法——逐点法。对于每个节点,首先生成一个局部网格,由所有顶点与节点本身及其邻居重合的三角形组成。然后,通过直接以离散形式写在分支区域上的质量,能量和动量平衡来确定解决方案,该分支区域由多边形表示,其顶点是属于局部网格的质心和/或三角形的圆周心。这种方法避免了全局网格生成(计算成本要高得多),并且对非线性问题(如断裂力学)特别有效。本文详细描述了拉普拉斯方程的数值方法,并给出了其收敛阶作为节点数和边界条件类型的函数。最后,为了进一步简化算法,提出考虑以一般节点为圆心的圆形成的支路面积,其半径等于该节点与其相邻节点之间距离的平均值。这使得写控制方程的离散形式相当容易,同时保持与基于局部三角形的方法相同的精度和收敛顺序。
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引用次数: 5
Evaluation of gas-kinetic schemes for solving 1d inviscid compressible flow problems 求解一维无粘可压缩流动问题的气体动力学格式的评价
Pub Date : 2003-12-01 DOI: 10.1142/S1465876303002192
J. C. Ong, A. Omar, W. Asrar
In this paper, two classes of gas-kinetic schemes are investigated for one-dimensional compressible inviscid flow, namely, the Kinetic Flux Vector Splitting (KFVS) scheme and the Bhatnagar-Gross-Krook (BGK) scheme. Second-order high-resolution scheme for both methods are also developed for calculating flows containing discontinuities. This is achieved by means of reconstructing the initial data via Monotone Upstream-Centered Schemes for Conservation Laws (MUSCL) approach. The Total Variation Diminishing (TVD) shock capturing properties of these second-order schemes are achieved through the use of non-linear limiters. In addition, a multistage TVD Runge-Kutta method is employed for the time integration of the finite volume gas-kinetic scheme. Exclusive consideration is focused on the BGK scheme, which yields a better numerical result in comparison with the KFVS scheme. Three typical one-dimensional inviscid flow problems containing shocks, namely, steady flow in a divergent nozzle, the unsteady shock tube problem, and two interacting blast waves problem are analyzed numerically with the gas-kinetic schemes. Numerical results from the first-order and second-order gas-kinetic schemes are presented and compared with the exact solutions. Other computed results such as those from the Steger-Warming's Flux Vector Splitting scheme, Roe's Flux Difference Splitting scheme, MacCormack's scheme, and high-order compact Van Leer's Flux Splitting Scheme are also presented as comparisons to the gas-kinetic schemes. In addition, the effects of grid sizes on the numerical results of the gas-kinetic schemes are also investigated.
本文研究了一维可压缩无粘流动的两类气体动力学格式,即动能通量矢量分裂(KFVS)格式和Bhatnagar-Gross-Krook (BGK)格式。两种方法的二阶高分辨率格式也被开发用于计算包含不连续的流。这是通过使用单调上游中心守恒法(MUSCL)方法重建初始数据来实现的。这些二阶格式的总变差递减(TVD)冲击捕获特性是通过使用非线性限制器实现的。此外,采用多级TVD龙格-库塔法对有限体积气体动力学格式进行时间积分。对BGK格式进行了单独考虑,与KFVS格式相比,BGK格式得到了更好的数值结果。采用气体动力学格式,对三种典型的含激波的一维无粘流动问题,即发散喷管内的定常流动问题、非定常激波管问题和两种相互作用的冲击波问题进行了数值分析。给出了一阶和二阶气体动力学格式的数值结果,并与精确解进行了比较。其他计算结果,如Steger-Warming通量矢量分裂格式、Roe通量差分分裂格式、MacCormack格式和高阶紧凑Van Leer通量分裂格式的计算结果,也被作为与气体动力学格式的比较。此外,还研究了网格尺寸对气体动力学格式数值结果的影响。
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引用次数: 11
(100)-Oriented PZN-xpt Thin Films Grown On Lanio3 Seeding Layers (100)在Lanio3播种层上生长的PZN-xpt定向薄膜
Pub Date : 2003-09-01 DOI: 10.1142/S1465876303001708
Shuhui Yu, K. Yao, F. Tay
Relaxor ferroelectric (1-x)Pb(Zn1/3Nb2/3)O3-xPbTiO3 is attractive for many electromechanical transducer applications due to its very large piezoelectric responses, and high electromechanical coupling factor. An oriented PZN-xPT film is particularly desired to achieve further enhanced piezoelectric performance. However, it is difficult to obtain pure ferroelectric perovskite phase in a PZN-xPT thin film because of the preferential formation of detrimental pyrochlore phase. In this paper, perovskite PZN-xPT thin films were prepared by a sol-gel method on (100) Si substrates. A (100)-oriented perovskite LaNiO3 (LNO) thin film was deposited as both the bottom electrode and seeding layer; and a ZrO2 film was deposited as a buffer layer between the LNO film and the Si substrate. X-Ray Diffraction (XRD), and Scanning Electronic Microscopy (SEM) were used to examine the structure, orientation, and morphology of the PZN-xPT thin films. The dielectric and ferroelectric properties of the films were measured with an impedance analyzer and a standard ferroelectric testing system, respectively. The results showed that perovskite structure with (100) orientation was successfully obtained in the PZN-xPT films. The film exhibited a typical ferroelectric P-E hysteresis loop with a high remanent polarization.
弛豫铁电(1-x)Pb(Zn1/3Nb2/3)O3-xPbTiO3由于其非常大的压电响应和高机电耦合系数,在许多机电换能器应用中具有吸引力。取向PZN-xPT薄膜是进一步提高压电性能的理想材料。然而,在PZN-xPT薄膜中,由于有害的焦绿石相的优先形成,很难获得纯铁电钙钛矿相。本文采用溶胶-凝胶法在(100)Si衬底上制备了钙钛矿PZN-xPT薄膜。制备了一种(100)取向的钙钛矿LaNiO3 (LNO)薄膜作为底电极和播种层;在LNO薄膜和Si衬底之间沉积了一层ZrO2薄膜作为缓冲层。采用x射线衍射(XRD)和扫描电镜(SEM)对PZN-xPT薄膜的结构、取向和形貌进行了表征。用阻抗分析仪和标准铁电测试系统分别测量了薄膜的介电性能和铁电性能。结果表明,在PZN-xPT薄膜中成功获得了(100)取向的钙钛矿结构。该薄膜具有典型的高剩余极化的铁电P-E磁滞回线。
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引用次数: 0
A New Modeling Method Of Vertical Electrostatic Comb Drive 一种新的垂直静电梳状传动建模方法
Pub Date : 2003-09-01 DOI: 10.1142/S1465876303001940
J. Chiou, Y. J. Lin
In this paper, we have successfully modeling a vertical motion electrostaitc comb drive and proof it's efficiency by using existed experimental data. A commercial 3-D MEMS Simulator was employed to stimulate the static levitation of vertical comb drive. Note that, by gradually increasing the dc bias voltage, each simulation process is either converged slowly or even enters the divergence stage. Hence, the 3-D simulator is degraded in simulating vertical electrostatic comb drive in full input range. In the present modelling method, Maxwell 2-D solver was employed to calculate the comb finger capacitance at different z positions firstly. Second, A 6th-order curve fitting was used to extract the capacitance function, C(z), and the unit electrostastic force function, dC/dz, was obtained by taking derivative of capacitance function. Finally, a dynamic system model block diagram was established in Matlab Simulink program environment. A set of ideal geometry parameter was selected to verify the accuracy of our m...
本文成功地建立了垂直运动静电梳子传动的模型,并利用已有的实验数据证明了该模型的有效性。利用商用三维MEMS模拟器对垂直梳状传动进行静悬浮仿真。注意,通过逐渐增加直流偏置电压,每个模拟过程要么缓慢收敛,要么甚至进入发散阶段。因此,三维模拟器在模拟全输入范围内的垂直静电梳状传动时性能下降。在该建模方法中,首先利用Maxwell二维求解器计算不同z点处的梳状指电容。其次,采用六阶曲线拟合提取电容函数C(z),通过对电容函数求导得到单位静电力函数dC/dz;最后,在Matlab Simulink编程环境下建立了动态系统模型框图。选取了一组理想的几何参数,验证了该方法的精度。
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引用次数: 3
Fabrication Of Smooth Diamond-Like Carbon Microcantilever Arrays 光滑类金刚石微悬臂阵列的制备
Pub Date : 2003-09-01 DOI: 10.1142/S1465876303002015
D. Sheeja, B. Tay, L. J. Yu, J. Miao, Y. Fu, D. Chua, W. Milne
The amorphous carbon films prepared by filtered cathodic vacuum arc (FCVA) deposition system are superior in nature with very smooth surface morphology, relatively high hardness, favorable tribological behaviour and excellent bio-compatibility. These exceptional qualities make them suitable for many device applications. However, the superior quality films prepared at relatively lower substrate bias such as -80V exhibits high compressive stress and thus limit the thickness of the film. This constraint is overcome by stress reduction, which is achieved by preparing the film in conjunction with high substrate pulse biasing. Free-standing Diamond-like Carbon (DLC) micro-cantiliver arrays were successfully fabricated by a single photolithography step. The relatively thick (~1μm), smooth (Rms ~0.75nm), low stress ( substrates, by the FCVA deposition system in conjunction with high substrate pulse biasing of -5kV, 900Hz and 30μs. The undecutting of the microstructure was carried out by anisotropic wet etching of Si in 40 wrt% KOH at 23°C for 31 hrs. The SEM image of the free-standing DLC micro-cantiliver arrays reveals that the maximum transverse deflection of the cantilever at the free end is quite low. The quantitative measurements of deflections were also carried out using an optical profiler to verify.
通过过滤阴极真空电弧(FCVA)沉积系统制备的非晶态碳膜具有表面光滑、硬度较高、摩擦学性能好、生物相容性好等优点。这些卓越的品质使它们适用于许多设备应用。然而,在相对较低的衬底偏压(如-80V)下制备的优质薄膜表现出较高的压应力,从而限制了薄膜的厚度。这一限制是克服应力减少,这是通过制备薄膜结合高衬底脉冲偏置。采用单步光刻技术成功制备了独立式类金刚石(DLC)微悬臂阵列。相对较厚(~1μm)、光滑(Rms ~0.75nm)、应力较低的衬底,通过FCVA沉积体系结合-5kV、900Hz、30μs的高脉冲偏置。采用各向异性湿法刻蚀Si,在40 wrt% KOH中,在23℃下刻蚀31小时。独立DLC微悬臂阵列的SEM图像显示,悬臂梁在自由端的最大横向挠度很低。偏转的定量测量也进行了使用光学剖面仪来验证。
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引用次数: 1
Study Of A Biological Actuator And Sensor: The Mimosa Pudica 一种生物致动器和传感器的研究:含羞草
Pub Date : 2003-09-01 DOI: 10.1142/S1465876303001757
Ching Lian Chua, F. Chollet, Jie He
The Mimosa Pudica is an action plant that closes its leaves when given a stimulus. The plant integrates both sensing and actuating mechanisms, and the distinctive motion is about a hinge-like point, the pulvinus, making the characterization of the motion attractive. In this project, experiments were set up to measure the characteristics of the plants in the goal to estimate the possibility to produce micro-actuator based on a similar principle. The signal speed, the sensitivity, the actuator speed, the power, the torque produced by the plant were measured by using different sensors. The results showed that the torque is dependent on the diameter of the pulvinus and that actuator could reach a top angular velocity of 1 rad/s. We developed a phenomenological model to describe the behavior of the plant that could match experimental results and propose an original physical description of the mechanism inside the plant by considering a phase transition behavior instead of the classical ion channel model. Finally, the plant actuator energy density is also compared with other known micro-actuators and the possibility to use the plant as a micro-actuator is discussed.
含羞草是一种动作植物,当受到刺激时,它的叶子会闭合。该植物集成了传感和驱动机制,其独特的运动是关于一个类似铰链的点,即pulvinus,这使得运动的特征具有吸引力。在这个项目中,我们设置了实验来测量目标中植物的特性,以估计基于类似原理生产微致动器的可能性。采用不同的传感器测量了装置产生的信号速度、灵敏度、致动器速度、功率和扭矩。结果表明,转矩与驱动体直径有关,驱动器的最高角速度可达1 rad/s。我们开发了一个与实验结果相匹配的现象模型来描述植物的行为,并通过考虑相变行为而不是经典的离子通道模型,提出了植物内部机制的原始物理描述。最后,将植物作动器的能量密度与其他已知的微作动器进行了比较,并讨论了植物作微作动器的可能性。
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引用次数: 7
Fabrication Of Ultrahigh-Density Nano-Pyramid Arrays (Npas) On (100) Silicon Wafer Using Scanning Probe Lithography And Anisotropic Wet Etching 扫描探针光刻和各向异性湿法蚀刻在(100)硅片上制备超高密度纳米金字塔阵列(Npas
Pub Date : 2003-09-01 DOI: 10.1142/S1465876303002076
J. Sheu, Cheng C. Chen, S. P. Yeh, H. Chou
Convex and concave nano-pyramid Arrays (NPAs) with an areal bit density of 258 Gbits/in2 has been demonstrated by means of scanning probe lithography (SPL) and wet ecthing on the (100) silicon wafer. We investigated the use of a contact-mode atomic force microscope (AFM) in the generation of oxide patterns on silicon (100) surfaces. Subsequently, utilizing oxide patterns as Si etching masks, the Si substrate was dipped in aqueous KOH solution, where un-oxidized regions are selectively etched by aqueous KOH orientation-dependent etching (ODE). Using this simple process, 20nm convex NPAs with 100nm pitch can be fabricated successfully. Similarly, about 2nm concave NPAs with 100nm were obtained after the oxidized samples were dipped in acqueous HF solution, the oxide regions were selectively etched away. To demonstarte the capability of this technology, the ascii codes were written on silicon and the data storage density more than 10 times of current optical recording has been achieved. We also demonstrated that the minimum size of the pyramids and the minimum pitch could be easily controlled by the apex size of the pyramid, that is, the size of the oxidized region by AFM-based field-induced oxidation. The results indicated that this technique has potentials to provide a pathway to the higher densities that will be needed in the decades ahead.
采用扫描探针光刻(SPL)和湿涂技术在(100)硅片上制备了面比特密度为258 Gbits/in2的凸、凹纳米金字塔阵列(NPAs)。我们研究了使用接触模式原子力显微镜(AFM)在硅(100)表面生成氧化物图案。随后,利用氧化物图案作为Si蚀刻掩模,将Si衬底浸入KOH水溶液中,其中未氧化区域通过KOH取向依赖蚀刻(ODE)选择性蚀刻。利用这一简单的工艺,可以成功地制备出20nm、100nm间距的凸npa。同样,氧化后的样品在水HF溶液中浸泡后,氧化区被选择性地蚀刻掉,得到了约2nm的凹形NPAs,其直径为100nm。为了证明该技术的能力,将ascii码写入硅上,数据存储密度达到了目前光学记录的10倍以上。我们还证明了金字塔的最小尺寸和最小间距可以很容易地由金字塔的顶端尺寸控制,即原子力显微镜场诱导氧化的氧化区域的大小。结果表明,这项技术有潜力为未来几十年所需的更高密度提供一条途径。
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引用次数: 0
Synthesis And Characterisation Of Alkanethiolated Nanogold Clusters For Biomems Applications 生物医药用烷硫醚化纳米金团簇的合成与表征
Pub Date : 2003-09-01 DOI: 10.1142/S146587630300199X
Y. T. Wong, M. Manimaran, F. Tay
Synthesis of alkanethiolated gold nanoparticles, which formed spontaneous ordering of larger nanoclusters, has been successfully demonstrated. These three-dimensional nanoclucters containing thousands of gold nanoparticles functionalized with 1, 6-hexanedithiol have interesting properties, which were characterized using High Resolution-Transmission Electron Microscopy (HR-TEM) coupled with Energy Dispersive Spectrometry, Scanning Electron Microscopy and X-ray Photon Spectroscopy (XPS). These results are valuable for further exploration into the nanoclusters' electronic characteristics as well as to understand the thiol chemisorption and physisorption processes onto various substrates such as glass and silicon.
成功地合成了链烷硫代金纳米粒子,其形成了自发有序的更大的纳米团簇。这些含有数千个以1,6 -己二硫醇功能化的金纳米颗粒的三维纳米团簇具有有趣的性质,并通过高分辨率透射电子显微镜(hrtem)、能量色散光谱、扫描电子显微镜和x射线光子光谱(XPS)对其进行了表征。这些结果对于进一步探索纳米团簇的电子特性以及了解硫醇在各种衬底(如玻璃和硅)上的化学吸附和物理吸附过程具有重要价值。
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引用次数: 2
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