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Benchmarks for Non-Ideal Magnetohydrodynamics 非理想磁流体力学基准
Pub Date : 2018-07-11 DOI: 10.5772/INTECHOPEN.75713
S. Vasily, Zhmailo Vadim, Yanilkin Yury
The paper presents an overview of benchmarks for non-ideal magnetohydrodynamics. These benchmarks include dissipative processes in the form of heat conduction, magnetic diffusion, and the Hall effect.
本文概述了非理想磁流体力学的基准。这些基准包括热传导、磁扩散和霍尔效应形式的耗散过程。
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引用次数: 0
Study of the Numerical Diffusion in Computational Calculations 数值扩散在计算中的研究
Pub Date : 2018-07-11 DOI: 10.5772/INTECHOPEN.75660
D. Karadimou, N. Markatos
The numerical simulation of fluid flow and heat/mass-transfer phenomena requires the numerical solution of the Navier-Stokes and energy-conservation equations coupled with the continuity equation. Numerical or false diffusion is the phenomenon of inserting errors in the calculations that compromise the accuracy of the computational solution. The Taylor series analysis that reveals the truncation/discretization errors of the differen- tial equations terms should not be termed as false diffusion. Numerical diffusion appears in multi-dimensional flows when the differencing scheme fails to account for the true direction of the flow. Numerical errors associated with false diffusion are investigated via two- and three-dimensional problems. A numerical scheme must satisfy necessary criteria for the successful solution of the convection-diffusion formulations. The common practice of approximating the diffusion terms via the central-difference approximation is satisfactory. Attention is directed to the convection terms since these approximations induce false diffusion. The equations of all the conservation equations in this study are discretized by the finite volume method.
流体流动和传热传质现象的数值模拟需要Navier-Stokes方程和能量守恒方程的数值解以及连续性方程的耦合。数值扩散或伪扩散是在计算中插入误差,从而损害计算解的准确性的现象。揭示微分方程项的截断/离散误差的泰勒级数分析不应被称为伪扩散。当差分格式不能解释流动的真实方向时,在多维流动中会出现数值扩散。通过二维和三维问题研究了与虚假扩散有关的数值误差。数值格式必须满足成功求解对流扩散公式的必要条件。通过中心差值近似近似扩散项的一般做法是令人满意的。要注意对流项,因为这些近似会引起假扩散。采用有限体积法对所有守恒方程进行离散化处理。
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引用次数: 1
Numerical Modeling of Chemical Compounds’ Fate and Kinetics in Living Organisms: An Inverse Numerical Method for Rate Estimation from Concentration 化合物在生物体中的命运和动力学的数值模拟:一种从浓度估计速率的反数值方法
Pub Date : 2018-07-11 DOI: 10.5772/INTECHOPEN.76611
K. Dalma, Kovacs Melinda Haydee
Emerging chemical compounds are ubiquitous in all environmental compartments and may pose a risk to biota ecosystems. The quantification and prediction of environmental partitioning of these chemicals in various environmental compartment systems (water, sediments, soil, air, biota) is an important step in the comprehensive assessment of their sources, fates, and not finally of their uptake potential by various living organisms of ecosystems. Any numerical solution that has as a final goal “prediction” requires a large number of experimental data. In case of environmental studies of chemical compounds, monitoring most studies is costly, time-consuming, and requires both qualified personnel and high- precision equipment. Finding a suitable numerical model that could predict the fate of chemicals could be extremely useful, facilitating those environmental scientists, users, managers, authorities, and corresponding decision-makers for a more conscious use of these substances, thus protecting the environment and biota. Considering the mentioned disadvantages regarding chemical compounds’ monitoring, the aim of this research is to find numerical solutions that enable the prediction of such chemical compounds’ fate under different environmental compartments and the uptake potential by living organisms as plants. The concept of the inverse numerical method was used in order to find chemical compounds’ rate of accumulation in various environ- mental matrixes and potential uptake by living organisms, all starting from the chemical compounds’ concentrations.
新出现的化合物在所有环境隔间中无处不在,可能对生物群生态系统构成威胁。对这些化学物质在各种环境区隔系统(水、沉积物、土壤、空气、生物群)中的环境分配进行量化和预测,是全面评估它们的来源、命运,而不是最终评估生态系统中各种生物对它们的吸收潜力的重要步骤。任何以“预测”为最终目标的数值解都需要大量的实验数据。就化学化合物的环境研究而言,对大多数研究进行监测既昂贵又耗时,而且需要合格的人员和高精度的设备。找到一个可以预测化学品命运的合适的数值模型可能非常有用,有助于环境科学家、使用者、管理者、当局和相应的决策者更有意识地使用这些物质,从而保护环境和生物群。考虑到上述化合物监测的缺点,本研究的目的是找到能够预测这些化合物在不同环境区室下的命运和生物如植物的吸收潜力的数值解。利用逆数值法的概念,从化合物的浓度出发,求出化合物在各种环境基质中的积累速率和生物的潜在吸收量。
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引用次数: 0
Numerical Simulation of Electronic Systems Based on Circuit- Block Partitioning Strategies 基于电路块划分策略的电子系统数值模拟
Pub Date : 2018-07-11 DOI: 10.5772/INTECHOPEN.75490
J. Oliveira
Numerical simulation of complex and heterogeneous electronic systems can be a very challenging issue. Circuits composed of a combination of analog, mixed-signal and digital blocks or even radio frequency (RF) blocks, integrated in the same substrate, are very difficult to simulate as a whole at the circuit level. The main reason is because they contain a lot of state variables presenting very distinct properties and evolving in very widely separated time scales. Examples of practical interest are systems-on-a-chip (SoCs), very common in mobile electronics applications, as well as in many other embedded electronic systems. This chapter is intended to briefly review some advanced circuit-level numerical simulation techniques based on circuit-block partitioning schemes, which were especially designed to address the simulation challenges brought by this kind of circuits into the computer-aided-design (CAD) field.
复杂和异构电子系统的数值模拟是一个非常具有挑战性的问题。由模拟、混合信号和数字块甚至射频(RF)块组合而成的电路集成在同一衬底中,很难在电路层面上进行整体模拟。主要原因是它们包含了很多状态变量,表现出非常不同的性质,并在非常分散的时间尺度上演化。实际的例子是片上系统(soc),在移动电子应用中非常常见,以及在许多其他嵌入式电子系统中。本章旨在简要回顾一些基于电路块划分方案的高级电路级数值模拟技术,这些技术是专门为解决这类电路进入计算机辅助设计(CAD)领域所带来的仿真挑战而设计的。
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引用次数: 0
Analytical and Mathematical Analysis of the Vibration of Structural Systems Considering Geometric Stiffness and Viscoelasticity 分析和数学分析结构的振动系统的考虑几何刚度和粘弹性
Pub Date : 2018-07-11 DOI: 10.5772/INTECHOPEN.75615
A. Wahrhaftig, R. Brasil, Lázaro S. M. S. C. Nascimento
For a complete analysis of vibration, the stiffness of a structure must have two character- istics: one corresponding to conventional stiffness and the other to the geometric stiffness. Thus, the total stiffness takes form where the model to be used to represent any behavior of the material is introduced to the first part via the modulus of elasticity. The second is the geometric stiffness, through which it is possible to linearize a geometric nonlinear prob- lem. To consider both aspects, a mathematical model based on the Rayleigh method has been elaborated. Two systems were numerically studied. First, the occurrence of reso- nance in the vibration of a prestressed reinforced concrete beam has been investigated. The results indicated resonant and non-resonant schemes between the natural frequency of the beam and the frequency of the engine. To the second system, the first natural frequency of a slender, 40-m-high concrete mobile phone mast, was calculated, and an evaluation of the structural collapse was performed. To the both systems, the cross section of reinforced concrete was treated by the theory for the homogenized section in order to consider the presence of the steel, and the viscoelasticity of the concrete was taken into account through a three-parameter rheological model.
为一个完整的振动分析,结构的刚度必须有两个字符-特性:一个对应于其他传统的刚度和几何刚度。因此,总刚度的形式是用来表示材料的任何行为的模型是通过弹性模量引入到第一部分。第二个是几何刚度,通过它可以线性化几何非线性问题——登月舱。考虑到这两个方面,本文阐述了基于瑞利法的数学模型。对两种体系进行了数值研究。首先,研究了预应力钢筋混凝土梁在振动中的共振现象。结果表明,梁的固有频率与发动机的频率之间存在共振和非共振格式。对于第二个系统,计算了40米高的细长混凝土移动电话桅杆的第一固有频率,并对结构倒塌进行了评估。两种体系均采用均质截面理论处理钢筋混凝土截面,以考虑钢筋的存在,并通过三参数流变模型考虑混凝土的粘弹性。
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引用次数: 4
Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet 变粘度纳米颗粒在拉伸薄片上的数值模拟
Pub Date : 2018-07-11 DOI: 10.5772/INTECHOPEN.71224
N. Akbar, D. Tripathi, Zafar Hayat Khan
The effects of different typesof base fluidsoncarbon nanotube(CNT) nanofluids flow over a circular stretching sheet are numerically analyzed. The nonlinear variation of radial velocity in radial direction is assumed at surface of stretching sheet. The temperature dependent fluid viscosity is taken into consideration. Two different types of flows (assisting flow and opposing flow) are discussed under the buoyant force effects. Single walled CNT and multi walled CNT are considered as nanoparticles for better thermal conductivity of the nanofluids. A set of similarity transformations to convert the partial differential equations into ordinarydifferentialequations is hired.The non-linearODEsare numerically solved by employing fourth order Runge-Kutta method. Discussions of numerical simulations for flow characteristics have been made appropriately. A compara-tive study for various type of base fluids like kerosene, engine oil and ethylene glycol is also presented. From the predicted simulation, it is observed that the variation in Nusselt number is maximum for engine oil and minimum for kerosene oil however, the variation in skin friction coefficient is largest for kerosene oil and least for engine oil. Furthermore, numerical results are also validated with achieving a goodcorrelation with existing results.
数值分析了不同类型的基流对碳纳米管(CNT)纳米流体在圆形拉伸片上流动的影响。假设拉伸板表面径向速度在径向方向上的非线性变化。考虑了随温度变化的流体粘度。讨论了在浮力作用下的两种不同类型的流动(辅助流动和反向流动)。单壁碳纳米管和多壁碳纳米管被认为是纳米流体具有更好的导热性的纳米颗粒。利用一组相似变换将偏微分方程转化为常微分方程。采用四阶龙格-库塔法对非线性odesa进行了数值求解。对流动特性的数值模拟进行了适当的讨论。并对煤油、机油、乙二醇等不同类型的基液进行了比较研究。从预测的模拟中可以看出,机油的努塞尔数变化最大,煤油的努塞尔数变化最小,而机油的摩擦系数变化最大,机油的摩擦系数变化最小。此外,数值计算结果也得到了验证,与已有结果具有良好的相关性。
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引用次数: 7
Twin-Grating Fiber Optic Sensors Applied on Wavelength- Division Multiplexing and Its Numerical Resolution 双光栅光纤传感器在波分复用中的应用及其数值分辨率
Pub Date : 2018-04-11 DOI: 10.5772/INTECHOPEN.75586
José Trinidad Guillen Bonilla, Héctor Guillen Bonilla, A. Zamora, G. A. Gómez, Nancy Elizabeth Franco Rodríguez, Alex Guillen Bonilla, Juan R. Gómez
In this work, the twin-grating fiber optic sensor has been applied on wavelength-division multiplexing. A quasi-distributed sensor formed by three local twin-grating sensors, is numerically simulated. The wavelength channels were 1531.5, 1535.5, and 1539.5 nm. The numerical simulation shows the resolution vs. signal-to-noise rate. Three local twin-grating sensors have approximately the same resolution because all local sensors have the same cavity length and the wavelength channels are very close. All local sensors have two numerical resolutions because the Fourier domain phase analysis algorithm makes two evaluations of the Bragg wavelength shift. The transition between both resolutions can be calculated with the parameters: cavity length, Bragg wavelength channel, refrac- tion index, and enveloped resolution. This transition depends on the noise system, demodulation algorithm, instrumentation, and local sensor properties. A very important point is, a theoretical analysis will permit to know the exact resolution for each local twin-grating sensor.
本文将双光栅光纤传感器应用于波分复用。对由三个局部双光栅传感器组成的准分布式传感器进行了数值模拟。波长通道分别为1531.5 nm、1535.5 nm和1539.5 nm。数值模拟显示了分辨率与信噪比的关系。三个局部双光栅传感器具有近似相同的分辨率,因为所有局部传感器具有相同的腔长和波长通道非常接近。所有的局部传感器都有两个数值分辨率,因为傅里叶域相位分析算法对布拉格波长移进行了两次评估。两种分辨率之间的转换可以用参数来计算:腔长、布拉格波长通道、折射率和包络分辨率。这种转换取决于噪声系统、解调算法、仪器仪表和本地传感器特性。非常重要的一点是,理论分析将允许知道每个局部双光栅传感器的精确分辨率。
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引用次数: 2
Numerical Study of Turbulent Flows and Heat Transfer in Coupled Industrial-Scale Tundish of a Continuous Casting Material in Steel Production 钢铁生产中连铸材料工业规模耦合中间包湍流流动与传热数值研究
Pub Date : 2018-04-09 DOI: 10.5772/INTECHOPEN.75935
J. A. Castro, B. A. Pereira, Roan Sampaio deSouza, E. M. Oliveira, I. Ferreira
This chapter describes the numerical simulations of a coupled industrial scale of the tundish and continuous casting process. The governing equations are presented, and the numerical procedure is discussed in a common framework. The coupled solutions are presented for the transient turbulent flows within the tundish, solidifying zone and extracting regions with the coupling phenomena of heat and mass transfer. The tundish region flow and refractory are calculated using the inlet and outlet boundary conditions in order to estimate the filling phenomena. The transitions and cooling zones for the thin slab continuous casting process are designed to account for the control of the solidified skin in order to avoid breakout. We compared the numerical predictions of the temperatures with industrial monitoring data for a reference case in order to verify the consistence of the model predictions. A parallel version of the numerical code is proposed aiming to improve the computation time keeping numerical accuracy.
本章描述了中间包和连铸过程耦合工业规模的数值模拟。给出了控制方程,并在一般框架下讨论了数值计算过程。在传热传质耦合的条件下,给出了中间包内、凝固区和萃取区瞬态湍流的耦合解。利用进口和出口边界条件计算中间包区流量和耐火材料,以估计填充现象。薄板坯连铸过程的过渡区和冷却区是为了控制凝固皮而设计的,以避免漏钢。为了验证模型预测的一致性,我们将数值预测的温度与工业监测数据进行了比较。为了提高计算时间,保持数值精度,提出了一种并行版本的数值代码。
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引用次数: 2
Ultrashort Pulse Generation in Ce:LiCAF Ultraviolet Laser Ce:LiCAF紫外激光器中超短脉冲的产生
Pub Date : 2018-03-21 DOI: 10.5772/INTECHOPEN.73501
M. Cadatal-Raduban, M. Pham, Luong Viet Mui, N. Hung, N. Sarukura
Transient cavity method used to generate ultrashort laser pulses in dye lasers is extended to a solid-state gain medium. Numerical simulations are performed to investigate the spectro-temporal evolution of broadband ultraviolet (UV) laser emission from Ce-doped LiCaAlF6 (Ce:LiCAF), which is represented as a system of two homogeneous broadened singlet states. By solving the rate equations extended to multiple wavelengths, the appropriate cavity length and Q-factor for optimal photon cavity decay time and pumping energy that will generate resonator transients is determined. Formation of resonator transients could generate picosecond UV laser pulses from a Ce:LiCAF crystal pumped by the fourth harmonics (266 nm) of a Nd:YAG laser. Numerical simulations indicate that a 1-mol% Ce-doped LiCAF crystal that is 1-mm long can generate a single picosecond pulse. This is accomplished by using a low Q (output coupler reflectivity of 10%), short cavity (cavity length of 2 mm) laser oscillator. Ultrashort pulses can also be generated using other rare earth-doped fluoride laser materials using this technique.
将用于染料激光器中产生超短激光脉冲的瞬态腔法推广到固态增益介质中。采用数值模拟的方法研究了Ce掺杂LiCaAlF6 (Ce:LiCAF)的宽带紫外(UV)激光发射光谱-时间演化过程。通过求解扩展到多个波长的速率方程,确定了产生谐振腔瞬态的最佳光子腔衰变时间和泵送能量的适当腔长和q因子。在Nd:YAG激光器的四次谐波(266 nm)泵浦下,Ce:LiCAF晶体可产生皮秒紫外激光脉冲。数值模拟表明,1 mol% ce掺杂的LiCAF晶体长度为1 mm,可以产生1皮秒脉冲。这是通过使用低Q(输出耦合器反射率为10%),短腔(腔长2毫米)激光振荡器来实现的。使用该技术也可以使用其他掺稀土氟化物激光材料产生超短脉冲。
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引用次数: 1
Numerical Simulations of a High-Resolution RANS-FVDM Scheme for the Design of a Gas Turbine Centrifugal Compressor 燃气轮机离心压缩机高分辨率ransr - fvdm设计方案的数值模拟
Pub Date : 2018-02-06 DOI: 10.5772/INTECHOPEN.72098
CH. V. K. N. S. N. Moorthy, V. Srinivas
The aero-thermodynamic design and performance of a compressor need to conquer many vital challenges like it is a gas-driven turbo-machinery component, involvement of extensive iterative process for the convergence of the design, enormous design complexity due to three-dimensional flow phenomena, and multiflow physics embedded within a dynamic state-of-the-art. In this chapter, a strong attempt is made to address the above-cited techni- cal issues to achieve an optimized design and performance of a centrifugal compressor with backward swept blade profile producing total pressure ratio of 5.4 with an ingested mass flow rate of 5.73 kg/s. A mean-line design methodology was implemented to configure sizing of the compressor. An optimum grid size was well validated by carrying out compu- tational analysis with three different mesh sizes within the same framework. Finally, a detailed three-dimensional numerical simulation was performed using Reynolds-averaged Navier-Stokes equations based on finite volume discretization method (RANS-FVDM) scheme. Consequently, the polytropic efficiency, total-to-total efficiency, stagnation pressure ratio at a fixed rotational speed, and the overall design and aero-thermodynamic performance of the centrifugal compressor are validated.
压气机的气动热力学设计和性能需要克服许多重要的挑战,比如它是一个气体驱动的涡轮机械部件,涉及广泛的迭代过程以实现设计的收敛,由于三维流动现象而产生的巨大设计复杂性,以及嵌入在动态技术中的多流物理。本章对上述技术问题进行了较强的尝试,以实现后掠叶型离心式压缩机的优化设计和性能,使其总压比为5.4,吸入质量流量为5.73 kg/s。采用均线设计方法对压缩机的尺寸进行了配置。通过对同一框架下三种不同网格尺寸的计算分析,验证了最优网格尺寸。最后,采用基于有限体积离散化方法(ranss - fvdm)的reynolds -average Navier-Stokes方程进行了详细的三维数值模拟。从而验证了离心压缩机的多向效率、总效率、定转速滞止压比、总体设计和气动热力学性能。
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引用次数: 0
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Numerical Simulations in Engineering and Science
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