Numerical simulation

数值模拟
  • 文章类型: Journal Article
    本研究调查了某孤岛工作面顶返采巷道围岩在不同阶段的变形破坏特征,揭示了其破坏机理和演化规律。利用阳泉市的一个矿井,山西省,中国,作为工程背景,本研究采用FLAC三维数值模拟和现场测量。研究结果表明,在开挖和采矿期间,沿15,106岛面顶部巷道的塑性区的演化在很大程度上相似。巷道两侧的塑性区不对称扩张,并逐渐并入煤柱塑性区。在破坏性阶段,巷道的子群被穿透,指示进入塑性区的进展。调查指出,道路较大一侧的大面积损坏,裂缝的发展,严重的破坏深度是巷道变形的主要原因。此外,道路两侧塑性区的范围与它们的相对距离正相关。持续监测显示道路位移持续增加,与煤矿开采的一般观察结果一致。研究结果为在类似采矿环境中优化支护结构提供了有价值的见解。
    This study investigates the deformation and damage characteristics of the surrounding rock along the top return mining roadway of an isolated island working face at different stages and reveals its damage mechanism and evolution law. Utilizing a mine in Yangquan City, Shanxi Province, China, as the engineering background, this research employs FLAC 3D numerical simulation and on-site measurements. The findings suggest that the evolution of the plastic zone along the top roadway of the 15,106 island face is largely similar during both the excavation and mining periods. The plastic zones on either side of the roadway are expanding asymmetrically and gradually merging into the plastic zone of the coal pillar. In the destructive stage, the sub-gangs of the roadway are penetrated, indicating the progression into the plastic zone. The investigation points to extensive damage on the larger side of the roadway, the development of fissures, and the significant depth of damage as primary causes of roadway deformation. Moreover, the extent of the plastic zones on both sides of the roadway correlates positively with their relative distance. Continuous monitoring reveals an ongoing increase in roadway displacement, consistent with general observations in coal mining. The results provide valuable insights for optimizing support structures in similar mining environments.
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  • 文章类型: Journal Article
    目的:这项研究的重点是评估微中风事件期间关键生理参数的破坏,以评估其严重程度。
    方法:建立了数学模型来模拟脑组织pO2,葡萄糖浓度,和血液流动中断导致的温度。该模型考虑了基线脑血流量(CBF)的变化,毛细管密度,和血氧/葡萄糖水平,以及环境温度的变化。
    结果:模拟表明,完全的血流阻塞仍然允许有限的葡萄糖供应,支持非氧化代谢并可能加剧乳酸积聚和酸中毒。部分阻塞降低组织pO2,对葡萄糖水平影响最小,可以保持几乎不变,甚至略有增加。降低CBF,毛细管密度,或血氧由于老化或疾病增加缺氧风险在较低的阻塞水平,毛细血管密度通过影响pO2和葡萄糖水平对中风严重程度有显著影响。条件可能导致缺氧/低血糖或缺氧/高血糖的同时发生,每一个恶化的结果。脑深部区域的温度影响很小,但根据环境温度,颅骨附近的温度变化为0.2-0.8°C。
    结论:该模型基于估计的缺氧水平提供了对导致严重中风结局的条件的见解,低血糖,高血糖症,和温度变化。
    OBJECTIVE: This study focuses on evaluating the disruptions in key physiological parameters during microstroke events to assess their severity.
    METHODS: A mathematical model was developed to simulate the changes in cerebral tissue pO2, glucose concentration, and temperature due to blood flow interruptions. The model considers variations in baseline cerebral blood flow (CBF), capillary density, and blood oxygen/glucose levels, as well as ambient temperature changes.
    RESULTS: Simulations indicate that complete blood flow obstruction still allows for limited glucose availability, supporting nonoxidative metabolism and potentially exacerbating lactate buildup and acidosis. Partial obstructions decrease tissue pO2, with minimal impact on glucose level, which can remain almost unchanged or even slightly increase. Reduced CBF, capillary density, or blood oxygen due to aging or disease enhances hypoxia risk at lower obstruction levels, with capillary density having a significant effect on stroke severity by influencing both pO2 and glucose levels. Conditions could lead to co-occurrence of hypoxia/hypoglycemia or hypoxia/hyperglycemia, each worsening outcomes. Temperature effects were minimal in deep brain regions but varied near the skull by 0.2-0.8°C depending on ambient temperature.
    CONCLUSIONS: The model provides insights into the conditions driving severe stroke outcomes based on estimated levels of hypoxia, hypoglycemia, hyperglycemia, and temperature changes.
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  • 文章类型: Journal Article
    一种数值模拟方法,即,SDNMR-WEBFIT,据报道,它基于Levenberg-Marquardt算法和伪2D扩散模型来模拟质子自旋扩散NMR。此方法用于精确量化多相聚合物系统中界面相的动力学异质性。数值模拟方法提供了自旋晶格弛豫时间(T1)的测量,质子密度(ρH),层状厚度(d),和各组分的自旋扩散系数(D)。伪二维扩散模型用于模拟质子自旋扩散的建立/衰减曲线,同时计算岛状结构的横向分数(x比)。这种方法被成功地应用于各种聚合物系统,如半结晶聚合物(聚(ε-己内酯),PCL),嵌段共聚物(苯乙烯-丁二烯-苯乙烯三嵌段共聚物,SBS),和增塑的半聚合物(聚乙烯醇,PVA)。
    A numerical simulation method, namely, SDNMR-WEBFIT, is reported for simulating proton spin diffusion NMR based on the Levenberg-Marquardt algorithm and a pseudo-2D diffusion model. This method is used for the precise quantification of dynamics heterogeneity of the interphase within multiphase polymer systems. The numerical simulation method provides measurements of spin-lattice relaxation time (T1), proton density (ρH), lamellar thickness (d), and spin diffusion coefficient (D) for each component. The pseudo-2D diffusion model is employed to simulate the proton spin diffusion build-up/decay curves, simultaneously calculating the lateral fraction of island-like structures (x-ratio). Such approach was successfully applied to various polymer systems, such as semi-crystalline polymer (Poly(ε-caprolactone), PCL), block copolymers (Styrene-butadiene-styrene triblock copolymer, SBS), and plasticized semi-polymers (Polvinyl alcohol, PVA).
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  • 文章类型: Journal Article
    由化石燃料的使用引起的全球变暖是当今世界共同关注的问题。通过高保真计算流体动力学(CFD)对现代发动机燃烧器进行深入的基础研究和优化设计具有重要的现实意义。从而实现节能减排。然而,复杂的碳氢化合物化学,预测建模不可或缺的组成部分,计算要求很高。其在基于仿真的设计优化中的应用,虽然可取,是相当有限的。为了应对这一挑战,我们提出了一种用人工神经网络(ANN)表示复杂化学的方法,用拉丁超立方采样(LHS)方法生成的综合样本数据集进行训练。在给定的化学动力学机制下,热化学样品数据能够在各种湍流火焰中覆盖整个可访问的压力/温度/物种空间。基于ANN的模型由两个不同的层组成:自组织映射(SOM)和反向传播神经网络(BPNN)。该方法被证明代表了30种甲烷的化学机理。所获得的ANN模型用于模拟非预混合湍流火焰(DLR_A)和部分预混合湍流火焰(火焰D),以验证其对不同火焰的适用性。结果表明,基于人工神经网络的化学动力学可以将计算成本降低约两个数量级,而不会损失精度。所提出的方法可以成功地构建基于人工神经网络的化学机制,具有显着的效率增益和广泛的适用性,因此,复杂的碳氢化合物燃料具有巨大的潜力。
    Global warming caused by the use of fossil fuels is a common concern of the world today. It is of practical importance to conduct in-depth fundamental research and optimal design for modern engine combustors through high-fidelity computational fluid dynamics (CFD), so as to achieve energy conservation and emission reduction. However, complex hydrocarbon chemistry, an indispensable component for predictive modeling, is computationally demanding. Its application in simulation-based design optimization, although desirable, is quite limited. To address this challenge, we propose a methodology for representing complex chemistry with artificial neural networks (ANNs), which are trained with a comprehensive sample dataset generated by the Latin hypercube sampling (LHS) method. With a given chemical kinetic mechanism, the thermochemical sample data is able to cover the whole accessible pressure/temperature/species space in various turbulent flames. The ANN-based model consists of two different layers: the self-organizing map (SOM) and the back-propagation neural network (BPNN). The methodology is demonstrated to represent a 30-species methane chemical mechanism. The obtained ANN model is applied to simulate both a non-premixed turbulent flame (DLR_A) and a partially premixed turbulent flame (Flame D) to validate its applicability for different flames. Results show that the ANN-based chemical kinetics can reduce the computational cost by about two orders of magnitude without loss of accuracy. The proposed methodology can successfully construct an ANN-based chemical mechanism with significant efficiency gain and a broad scope of applicability, and thus holds a great potential for complex hydrocarbon fuels.
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  • 文章类型: Journal Article
    在本文中,基于离散悬链线理论,研究了弹性索结构在机械载荷作用下的非线性力学响应。在我们的数值方法中,电缆网被离散为多个节点和边缘,然后是弹性能量和相关的Hessian矩阵的解析公式,以实现动态模拟。基于离散微分几何(DDG)理论,提出了一种全隐式框架。通过向系统中添加阻尼力来得出目标对象的平衡配置,称为动态松弛法。研究了单个悬挂电缆的机械响应,并将其与分析解决方案进行了比较,以进行交叉验证。进一步详细讨论了一个更复杂的场景,由多根细长电缆组成的结构通过接头连接。利用我们离散数值框架的鲁棒性和效率,进行了系统参数扫描,以量化网络与不同数量的电缆和不同方向的纤维的力位移关系。最后,根据弹性索网的几何特性,提供了经验比例定律来解释弹性索网的刚度,材料特性,组件编号,和电缆方向。我们的结果将为揭示柔性结构和张力结构之间的联系提供新的见解,并可以激发机械和土木工程设备的创新设计。
    In this paper, the nonlinear mechanical response of elastic cable structures under mechanical load is studied based on the discrete catenary theory. A cable net is discretized into multiple nodes and edges in our numerical approach, which is followed by an analytical formulation of the elastic energy and the associated Hessian matrix to realize the dynamic simulation. A fully implicit framework is proposed based on the discrete differential geometry (DDG) theory. The equilibrium configuration of a target object is derived by adding damping force into the system, known as the dynamic relaxation method. The mechanical response of a single suspended cable is investigated and compared with the analytical solution for cross-validation. A more intricate scenario is further discussed in detail, where a structure consisting of multiple slender cables is connected through joints. Utilizing the robustness and efficiency of our discrete numerical framework, a systematic parameter sweep is performed to quantify the force displacement relationships of nets with the different number of cables and different directions of fibers. Finally, an empirical scaling law is provided to account for the rigidity of elastic cable net in terms of its geometric properties, material characteristics, component numbers, and cable orientations. Our results would provide new insight in revealing the connections between flexible structures and tensegrity structures, and could motivate innovative designs in both mechanical and civil engineered equipment.
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  • 文章类型: English Abstract
    Red blood cells are destroyed when the shear stress in the blood pump exceeds a threshold, which in turn triggers hemolysis in the patient. The impeller design of centrifugal blood pumps significantly influences the hydraulic characteristics and hemolytic properties of these devices. Based on this premise, the present study employs a multiphase flow approach to numerically simulate centrifugal blood pumps, investigating the performance of pumps with varying numbers of blades and blade deflection angles. This analysis encompassed the examination of flow field characteristics, hydraulic performance, and hemolytic potential. Numerical results indicated that the concentration of red blood cells and elevated shear stresses primarily occurred at the impeller and volute tongue, which drastically increased the risk of hemolysis in these areas. It was found that increasing the number of blades within a certain range enhanced the hydraulic performance of the pump but also raised the potential for hemolysis. Moreover, augmenting the blade deflection angle could improve the hemolytic performance, particularly in pumps with a higher number of blades. The findings from this study can provide valuable insights for the structural improvement and performance enhancement of centrifugal blood pumps.
    血泵中剪切应力超过阈值时红细胞会被破坏,进而引发患者出现溶血。离心式血泵叶轮结构设计对血泵的水力特性及溶血特性有着显著影响。基于此,本文采用多相流方法对离心式血泵进行数值模拟,探究了具有不同叶片数量及偏转角叶轮形式血泵的性能,分析了血泵的流场特性、水力性能以及溶血性能。数值模拟结果表明:血泵主要在叶轮及隔舌处出现了红细胞集聚现象及较大的切应力,导致此处溶血急剧增加;在一定范围内增加叶片数会提升血泵水力性能,同时也会增加溶血风险;增加叶片偏转角有助于提升血泵溶血性能,在叶片数较多时更为明显。本文研究结果可为离心式血泵的结构改进及性能改善提供参考。.
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  • 文章类型: Journal Article
    现有的Burgers模型很难准确描述机织涂层的离轴循环拉伸过程。在本文中,研究了不同温度下PVC(聚氯乙烯)涂层机织薄膜的机械变形。建立了一维(1D)和二维(2D)本构模型来表征循环变形过程。一维模型是一种改进的Burgers模型。同时考虑了粘度系数的时间依赖性和弹性与粘性变形之比的影响。提高了一维模型预测不同温度和加载速率下循环非线性变形的精度。2D模型是使用多项式的非线性正交各向异性模型。在单目标遗传算法的基础上,逆算法用于获得拉伸阶段的剪切多项式系数和卸载阶段的剪切模量,这避免了执行困难的剪切测试。离轴拉伸和离轴循环拉伸的UMAT子程序分别编写。智能逆算法程序由单目标遗传算法程序组成,有限元参数化建模程序,和UMAT子程序。将仿真结果与离轴循环拉伸测试数据进行比较,以验证所提出的2D模型在拉伸-剪切耦合状态下分析编织PVC涂层薄膜的有效性和准确性。
    It is difficult for the existing Burgers model to accurately depict the off-axis cyclic drawing process of woven coatings. In this paper, the mechanical deformation of woven PVC (polyvinyl chloride)-coated film at different temperatures is investigated. One-dimensional (1D) and two-dimensional (2D) constitutive models were established to characterize cyclic deformation processes. The 1D model is an improved Burgers model. The effects of the time dependence of the viscosity coefficient and the ratio of elastic to viscous deformation are considered simultaneously. The accuracy of the 1D model for predicting the cyclic nonlinear deformation at different temperatures and loading rates is improved. The 2D model is a nonlinear orthotropic model using polynomials. On the basis of the single-objective genetic algorithm, the inverse algorithm is used to obtain the shear polynomial coefficients in the tension phase and the shear modulus in the unloading phase, which circumvents performing the difficult shear test. UMAT subroutines of off-axis stretching and off-axis cyclic stretching are written separately. The intelligent inverse algorithm program consists of a single-objective genetic algorithm program, a finite element parametric modelling program, and a UMAT subroutine. The simulation results are compared with the off-axis cyclic tensile test data to validate the effectiveness and accuracy of the proposed 2D model for the analysis of the woven PVC-coated films in the tension-shear coupling state.
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  • 文章类型: Journal Article
    非常规水库,如页岩和致密地层,已经成为石油和天然气生产日益重要的贡献者。在这些水库中,裂缝是流体迁移和储存的关键空间,使他们的精确评估至关重要。阵列声波测井是评价裂缝的关键方法。为了研究裂缝宽度的影响,裂缝充填条件,以及压缩波和剪切波上的声频,采用三维变网格有限差分程序进行声波测井数值模拟。首先,数值模型代表不同的裂缝宽度和不同的流体充填条件的裂缝地层建立,在不同频率下进行了阵列声波测井数值模拟。随后,对波形数据进行处理,提取声学特征参数,如压缩波和剪切波的速度和振幅衰减。最后,进行了定量分析,以检查折射压缩波和剪切波的特征参数与断裂特性的变化规律。研究结果表明,由井眼波浪模式得出的振幅衰减信息对裂缝性质的变化特别敏感。随着裂缝宽度的增加,我们观察到在压缩波和剪切波中都有明显的振幅衰减,与衰减系数的对数成正比。此外,当裂缝宽度恒定时,充气裂缝比充水裂缝表现出更显著的振幅衰减,剪切波衰减对填充材料更敏感。此外,从数量的角度来看,分析表明,折射压缩波和剪切波的衰减系数随气体饱和度呈指数变化。值得注意的是,一旦确定了裂缝宽度和充填条件,与8kHz时相比,40kHz主频率处的压缩波和剪切波的振幅显着降低,伴随着衰减的增加。随后的定量分析显示,当裂缝宽度和主频的乘积保持恒定时,相应的衰减系数比接近1。这表明在裂隙介质中声传播的衰减过程遵循声学相似性原理。本研究结果为进一步研究基于阵列声波测井资料的裂缝性评价方法提供了参考。
    Unconventional reservoirs, such as shale and tight formations, have become increasingly vital contributors to oil and gas production. In these reservoirs, fractures serve as crucial spaces for fluid migration and storage, making their precise assessment essential. Array acoustic logging stands out as a pivotal method for evaluating fractures. To investigate the impact of fracture width, fracture-filling conditions, and acoustic frequency on compressional and shear waves, a three-dimensional variable mesh finite difference program was employed for acoustic logging numerical simulation. Firstly, numerical models representing fractured formations with varying fracture widths and distinct fluid-filling conditions were established, and array acoustic logging numerical simulations were conducted at different frequencies. Subsequently, the waveform data were processed to extract acoustic characteristic parameters, such as velocities and amplitude attenuations of compressional and shear waves. Finally, a quantitative analysis was conducted to examine the variation patterns of characteristic parameters of refracted compressional and shear waves in relation to fracture properties. The research results indicate that amplitude attenuation information derived from borehole wave modes is particularly sensitive to the changes in fracture properties. As fracture width increased, we observed a significant amplitude attenuation in both compressional and shear waves, proportional to the logarithm of the attenuation coefficients. Furthermore, when the fracture width was constant, gas-filled fractures exhibited more prominent amplitude attenuation than water-filled fractures, with shear wave attenuation being more sensitive to the filling material. Moreover, from a quantitative perspective, the analysis revealed that the attenuation coefficients of refracted compressional and shear waves exhibited an exponential variation with gas saturation. Notably, once fracture width and filling conditions were established, the amplitudes of compressional and shear waves at the dominant frequency of 40 kHz were significantly reduced compared to those at 8 kHz, accompanied by increased attenuation. Subsequent quantitative analysis revealed that, when the product of fracture width and dominant frequency remains constant, the corresponding attenuation coefficient ratios approach 1. This indicates that the attenuation process of acoustic propagation in fractured media follows the principle of acoustic similarity. The findings of this study provide reference for further research on fracture property evaluation methods based on array acoustic logging data.
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  • 文章类型: Journal Article
    超声振动叠加面铣削能够通过适当设置工艺参数来生成预定表面微结构。表面特性的几何再现性在很大程度上取决于塑料材料的变形。因此,使用运动学仿真模型对新兴表面微结构的精确预测是有限的,因为他们忽略了物质流动的影响。因此,通过有限元分析对塑性和弹性变形的影响进行了深入研究。由这些数值模型产生的微结构表面通过区域表面参数定量表征,并与运动学模拟和实际加工表面进行比较。实现了模拟表面值与测量值之间的高度一致性,特别是在材料分配方面。可预测性的缺陷主要是由于塑性变形的偏差。未来的研究可以解决这个问题,通过实施温度考虑或适应特定的建模方面,如调整的切削深度或实验验证的材料参数。
    Ultrasonic vibration superimposed face milling enables the generation of predefined surface microstructures by an appropriate setting of the process parameters. The geometrical reproducibility of the surface characteristics depends strongly on the plastic material deformation. Thus, the precise prediction of the emerging surface microstructures using kinematic simulation models is limited, because they ignore the influence of material flow. Consequently, the effects of plastic as well as elastic deformation are investigated in depth by finite element analysis. Microstructured surfaces resulting from these numerical models are characterized quantitatively by areal surface parameters and compared to those from a kinematical simulation and a real machined surface. A high degree of conformity between the values of the simulated surfaces and the measured values is achieved, particularly with regard to material distribution. Deficits in predictability exist primarily due to deviations in plastic deformation. Future research can address this, either by implementing a temperature consideration or adapting specific modeling aspects like an adjusted depth of cut or experimental validated material parameters.
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  • 文章类型: Journal Article
    提出了一种具有梯形肋和风扇槽的新型微通道散热器(TFMCHS),微通道采用选择性激光熔化技术制造。首先,通过实验测量不同功率水平下的温度和压降,然后结合数值模拟,探索TFMCHSs内的复杂流动特性,并根据热增强系数评估微通道散热器的综合性能。结果表明,与矩形微通道散热器(RMCHSs)相比,TFMCHS的平均温度和最高温度显着降低,温度分布更均匀。这主要是由肋和凹槽引起的速度边界层和热边界层的周期性中断和再发展引起的。随着加热功率的增加,TFMCHS具有较好的散热性能。当P=33W且入口流速为32.5mL/min时,热增强因子达到1.26。
    A novel microchannel heat sink (TFMCHS) with trapezoidal ribs and fan grooves was proposed, and the microchannel was manufactured using selective laser melting technology. Firstly, the temperature and pressure drop at different power levels were measured through experiments and then combined with numerical simulation to explore the complex flow characteristics within TFMCHSs and evaluate the comprehensive performance of microchannel heat sinks based on the thermal enhancement coefficient. The results show that, compared with rectangular microchannel heat sinks (RMCHSs), the average and maximum temperatures of TFMCHSs are significantly reduced, and the temperature distribution is more uniform. This is mainly caused by the periodic interruption and redevelopment of the velocity boundary layer and thermal boundary layer caused by ribs and grooves. And as the heating power increases, the TFMCHS has better heat dissipation performance. When P=33 W and the inlet flow rate is 32.5 mL/min, the thermal enhancement factor reaches 1.26.
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