947 resultados para Implicit ODE


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The details of the Element Free Galerkin (EFG) method are presented with the method being applied to a study on hydraulic fracturing initiation and propagation process in a saturated porous medium using coupled hydro-mechanical numerical modelling. In this EFG method, interpolation (approximation) is based on nodes without using elements and hence an arbitrary discrete fracture path can be modelled.The numerical approach is based upon solving two governing partial differential equations of equilibrium and continuity of pore water simultaneously. Displacement increment and pore water pressure increment are discretized using the same EFG shape functions. An incremental constrained Galerkin weak form is used to create the discrete system of equations and a fully implicit scheme is used for discretization in the time domain. Implementation of essential boundary conditions is based on the penalty method. In order to model discrete fractures, the so-called diffraction method is used.Examples are presented and the results are compared to some closed-form solutions and FEM approximations in order to demonstrate the validity of the developed model and its capabilities. The model is able to take the anisotropy and inhomogeneity of the material into account. The applicability of the model is examined by simulating hydraulic fracture initiation and propagation process from a borehole by injection of fluid. The maximum tensile strength criterion and Mohr-Coulomb shear criterion are used for modelling tensile and shear fracture, respectively. The model successfully simulates the leak-off of fluid from the fracture into the surrounding material. The results indicate the importance of pore fluid pressure in the initiation and propagation pattern of fracture in saturated soils. © 2013 Elsevier Ltd.

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The task in keyword spotting (KWS) is to hypothesise times at which any of a set of key terms occurs in audio. An important aspect of such systems are the scores assigned to these hypotheses, the accuracy of which have a significant impact on performance. Estimating these scores may be formulated as a confidence estimation problem, where a measure of confidence is assigned to each key term hypothesis. In this work, a set of discriminative features is defined, and combined using a conditional random field (CRF) model for improved confidence estimation. An extension to this model to directly address the problem of score normalisation across key terms is also introduced. The implicit score normalisation which results from applying this approach to separate systems in a hybrid configuration yields further benefits. Results are presented which show notable improvements in KWS performance using the techniques presented in this work. © 2013 IEEE.

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In recent literature, ℓ1-regularised MPC, or ℓasso-MPC, has been recommended for control tasks involving complex requirements on the control signals, for instance, the simultaneous solution of regulation and sharp control allocation for redundantly-actuated systems. This is due to the implicit thresholding ability of LASSO regression. In this paper, a stabilising terminal cost featuring a mixed ℓ1/ℓ2 2 penalty is presented. Then, a candidate terminal controller is computed, with the aim of enlarging the region of attraction. © 2013 EUCA.

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We present a fixed-grid finite element technique for fluid-structure interaction problems involving incompressible viscous flows and thin structures. The flow equations are discretised with isoparametric b-spline basis functions defined on a logically Cartesian grid. In addition, the previously proposed subdivision-stabilisation technique is used to ensure inf-sup stability. The beam equations are discretised with b-splines and the shell equations with subdivision basis functions, both leading to a rotation-free formulation. The interface conditions between the fluid and the structure are enforced with the Nitsche technique. The resulting coupled system of equations is solved with a Dirichlet-Robin partitioning scheme, and the fluid equations are solved with a pressure-correction method. Auxiliary techniques employed for improving numerical robustness include the level-set based implicit representation of the structure interface on the fluid grid, a cut-cell integration algorithm based on marching tetrahedra and the conservative data transfer between the fluid and structure discretisations. A number of verification and validation examples, primarily motivated by animal locomotion in air or water, demonstrate the robustness and efficiency of our approach. © 2013 John Wiley & Sons, Ltd.

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Previous studies have reported that different schemes for coupling Monte Carlo (MC) neutron transport with burnup and thermal hydraulic feedbacks may potentially be numerically unstable. This issue can be resolved by application of implicit methods, such as the stochastic implicit mid-point (SIMP) methods. In order to assure numerical stability, the new methods do require additional computational effort. The instability issue however, is problem-dependent and does not necessarily occur in all cases. Therefore, blind application of the unconditionally stable coupling schemes, and thus incurring extra computational costs, may not always be necessary. In this paper, we attempt to develop an intelligent diagnostic mechanism, which will monitor numerical stability of the calculations and, if necessary, switch from simple and fast coupling scheme to more computationally expensive but unconditionally stable one. To illustrate this diagnostic mechanism, we performed a coupled burnup and TH analysis of a single BWR fuel assembly. The results indicate that the developed algorithm can be easily implemented in any MC based code for monitoring of numerical instabilities. The proposed monitoring method has negligible impact on the calculation time even for realistic 3D multi-region full core calculations. © 2014 Elsevier Ltd. All rights reserved.

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Modelica语言仿真建模在科研工作中已经得到了广泛应用。它能方便地对包含机械、电子、液压、控制、热流等领域的复合物理系统进行基于组件的仿真。现有基于Modelica语言的仿真建模软件支持图形化建模和文本建模两种方式,集成了面向对象、陈述式描述、统一建模、组件重用的优势,给科研工作带来了巨大的便利。 Modelica软件仿真的过程可归结为微分代数方程(differential algebraic equation,DAE)系统的求解。在求解DAE系统时,需要对DAE系统进行约简,直到庞大的DAE系统约简为目前自动求解方法成熟的ODE系统,或约简为方程个数不多的、指标较低的DAE系统,才能使Modelica建模仿真软件具有工业上的应用价值。在约简DAE系统之前,需要对之进行预处理,根据方程之间的数据依赖关系进行拓扑排序,确定求解顺序。排序的过程对应着将DAE系统结构关联矩阵进行块状下三角(block lower triangle,BLT)变换。寻找强连通分量和拓扑排序是对DAE系统进行预处理的重要组成部分。 本文剖析了Modelica软件在仿真时的运行机制,使用几个实例来详细描述在仿真过程中,Modelica软件完成的工作。在寻找强连通分量和拓扑排序这一步,本文提出了使用Kosaraju算法的策略,对由模型得到的有向图直接使用Kosaraju算法,得出DAE系统的求解顺序。文章叙述了强连通分量的含义,并阐述了在求强连通分量时的理论依据,由此引出了Tarjan算法和Kosaraju算法,再分析和比较Tarjan算法和Kosaraju算法,对比了两种策略的优劣,并进行了实验。同时,本文分析了OpenModelica软件包的结构,修改了软件包在寻找强连通分量及拓扑排序相关模块的代码。

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A type checking method for the functional language LFC is presented. A distinct feature of LFC is that it uses Context-Free (CF) languages as data types to represent compound data structures. This makes LFC a dynamically typed language. To improve efficiency, a practical type checking method is presented, which consists of both static and dynamic type checking. Although the inclusion relation of CF.languages is not decidable,a special subset of the relation is decidable, i.e., the sentential form relation, which can be statically checked.Moreover, most of the expressions in actual LFC programs appear to satisfy this relation according to the statistic data of experiments. So, despite that the static type checking is not complete, it undertakes most of the type checking task. Consequently the run-time efficiency is effectively improved. Another feature of the type checking is that it converts the expressions with implicit structures to structured representation. Structure reconstruction technique is presented.

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介绍了一种研究系统特权安全问题的方法.由于其特有的迁移系统安全状态的能力,使得分析及保护系统特权都很困难,因此,传统访问控制研究中所采用的技术无法复制到该领域.在访问控制空间理论下,检查了系统特权的来源问题及其特点,从而将系统规则划分为约束规则与执行规则两类,分别描述授权的限制与效果.进一步对规则逻辑形式进行推导,发现特权操作间的特殊授权关系以及相关属性,并设计了一种快速构造授权推导图的算法.在此基础上,分析隐式授权安全问题可能存在的滥用特权威胁.最后对POSIX(portable operating system interface)标准的权能机制进行形式化描述,计算并构造其授权推导图.对标准设计中存在的滥用威胁提供了对策,有效地实现了与最小特权原则的一致性.

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基于角色的管理模型被用于管理大型RBAC(role-based access control)系统的授权关系,UARBAC具有可扩展、细粒度等优点.UARBAC的管理操作包含隐式授权.隐式授权分析说明UARBAC管理操作的两类缺陷,包括两个定义缺陷,即无法创建客体和虚悬引用,以及一个实施缺陷,即不支持最小授权.通过修改管理操作更正定义缺陷,提出实施缺陷的改进方案.定义实施最小授权的最小角色匹配问题,证明该问题是NP难,并给出基于贪心算法的可行方案,帮助管理员选择合适的管理操作将最小角色集合授予用户.

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首先从认知心理学的角度对Post—WIMP界面下的隐式交互特征进行分析和描述。然后通过对传统界面的交互任务生成结构和Post—WIMP界面的交互任务生成结构进行比较,分析Post—WIMP界面交互任务的生成特点。根据这些特点提出了利用识别技术、上下文感知技术和用户修正技术(User Mediation)相结合的方法来支持Post—WIMP界面的隐式交互,并构造了Post—WIMP界面的交互任务生成框架。这些隐式交互特征的研究将为建立Post—WIMP界面软件框架和交互平台提供底层支持。

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By calculating the energy distribution of electrons reaching the photocathode surface and solving the Schrodinger equation that describes the behavior of an electron tunneling through the surface potential barrier,we obtain an equation to calculate the emitted electron energy distribution of transmission-mode NEA GaAs photocathodes. Accord- ing to the equation,we study the effect of cathode surface potential barrier on the electron energy distribution and find a significant effect of the barrier-Ⅰ thickness or end height,especially the thickness,on the quantum efficiency of the cath- ode. Barrier Ⅱ has an effect on the electron energy spread, and an increase in the vacuum level will lead to a narrower electron energy spread while sacrificing a certain amount of cathode quantum efficiency. The equation is also used to fit the measured electron energy distribution curve of the transmission-mode cathode and the parameters of the surface barri- er are obtained from the fitting. The theoretical curve is in good agreement with the experimental curve.

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The transitions of E0 ,E0 +A0, and E+ in dilute GaAs(1-x) Nx alloys with x = 0.10% ,0.22% ,0.36% ,and 0.62% are observed by micro-photoluminescence. Resonant Raman scattering results further confirm that they are from the intrinsic emissions in the studied dilute GaAsN alloys rather than some localized exciton emissions in the GaAsN alloys. The results show that the nitrogen-induced E E+ and E0 + A0 transitions in GaAsN alloys intersect at a nitrogen content of about 0.16%. It is demonstrated that a small amount of isoelectronic doping combined with micro-photoluminescence allows direct observation of above band gap transitions that are not usually accessible in photoluminescence.

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Semi-implicit algorithms are popularly used to deal with the gravitational term in numerical models. In this paper, we adopt the method of characteristics to compute the solutions for gravity waves on a sphere directly using a semi-Lagrangian advection scheme instead of the semi-implicit method in a shallow water model, to avoid expensive matrix inversions. Adoption of the semi-Lagrangian scheme renders the numerical model always stable for any Courant number, and which saves CPU time. To illustrate the efficiency of the characteristic constrained interpolation profile (CIP) method, some numerical results are shown for idealized test cases on a sphere in the Yin-Yang grid system.

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A general numerical algorithm in the context of finite element scheme is developed to solve Richards’ equation, in which a mass-conservative, modified head based scheme (MHB) is proposed to approximate the governing equation, and mass-lumping techniques are used to keep the numerical simulation stable. The MHB scheme is compared with the modified Picard iteration scheme (MPI) in a ponding infiltration example. Although the MHB scheme is a little inferior to the MPI scheme in respect of mass balance, it is superior in convergence character and simplicity. Fully implicit, explicit and geometric average conductivity methods are performed and compared, the first one is superior in simulation accuracy and can use large time-step size, but the others are superior in iteration efficiency. The algorithm works well over a wide variety of problems, such as infiltration fronts, steady-state and transient water tables, and transient seepage faces, as demonstrated by its performance against published experimental data. The algorithm is presented in sufficient detail to facilitate its implementation.

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A depth-averaged two-dimensional hydrodynamics model and a two-dimensional water quality model, bases on the alternating direction implicit (ADI) method, is developed to study the distribution characteristics of total phosphorus (TP) in Taihu Lake. Wind stress, the pollution source from the inflow rivers, releasing rate of TP from the bottom sediment and water diversion from Yangtze River are the effecting factors of TP distribution. By using the model proposed in this paper, the concentration field of the total phosphorus was simulated, which leads to the conclusion that the flow field has a great influence on the spatial and temporal distribution of TP in the Taihu Lake.