Lagrangian modeling

拉格朗日建模
  • 文章类型: Journal Article
    我们研究了Posyet湾(彼得大帝湾,日本海)。这项研究是基于卫星和现场测量,区域海洋模型系统(ROMS)模拟的水流速度对河水平流进行了数值模拟。这项研究的重要性在于确定污染物进入远东海洋保护区的原因。研究结果表明,这些原因是风流和中尺度气旋涡流。这些涡流最初是在卫星图像以及CTD和生物光学测量中检测到的。2009年秋季在卫星图像上检测到叶绿素a(CHL)浓度增加的斑点形式的异常。CTD的海洋学剖面和通过异常进行的生物光学测量表明,它们是气旋涡流。这些涡流由两个核心组成-上部和下部。上层岩心充满了低盐度的河水,高CHL值和有色溶解有机物含量(CDOM)。下岩心充满冷盐水。ROMS结果表明,由于对称和离心不稳定性而产生了涡流。
    We study physical mechanisms of the Tumen River water transport in the area of the Posyet Bay (Peter the Great Bay, Sea of Japan). This study is based on the satellite and in situ measurements, and numerical simulation of advection of river water by the current velocity simulated by Regional Ocean Model System (ROMS). The importance of this study is in identification of the reasons of the transport of pollutants into the area of the Far Eastern Marine Reserve. The results of the study showed that such reasons are wind currents and mesoscale cyclonic eddies. These eddies were originally detected on satellite imagery and CTD and bio-optical measurements. The anomalies in the form of spots of the chlorophyll a (CHL) increased concentration were detected on satellite images in fall 2009. The oceanographic sections of CTD and bio-optical measurements through the anomalies show that they are cyclonic eddies. These eddies consist of two cores - upper and lower. The upper core is filled with river waters with low salinity, high values of CHL and colored dissolved organic matter content (CDOM). The lower core is filled with cold saline waters. The ROMS results show that eddies are generated as a result of symmetrical and centrifugal instabilities.
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  • 文章类型: Journal Article
    微塑料颗粒在海洋中三维移动,但是建模研究通常不考虑与尺寸相关的垂直运输过程。此外,海洋环境中的微塑料碎片仍然知之甚少,尽管就颗粒数量而言,碎片构成了微塑料污染的大部分,尽管它在质量去除中具有潜在的作用。这里,我们首先研究了粒径和密度在地中海微塑料大规模运输中的作用,然后分析了碎片如何影响塑料的运输和质量损失。对于逐渐变小的颗粒尺寸,微塑料被证明不太可能被搁浅,更有可能到达开阔水域。较小的颗粒通常也会混合得更深,导致较低的近表面浓度的小颗粒,尽管它们的总丰度较高。微塑料碎片被证明是以海滩为基础的碎片为主,基于海洋的破碎过程可能具有微不足道的影响。然而,碎片化仍然是一个缓慢的过程,作用于十年时间尺度,因此可能不会对微塑料的大规模分布和不到3年的质量损失产生重大影响。
    Microplastic particles move three-dimensionally through the ocean, but modeling studies often do not consider size-dependent vertical transport processes. In addition, microplastic fragmentation in ocean environments remains poorly understood, despite fragments making up the majority of microplastic pollution in terms of the number of particles and despite its potential role in mass removal. Here, we first investigate the role of particle size and density on the large-scale transport of microplastics in the Mediterranean Sea and next analyze how fragmentation may affect transport and mass loss of plastics. For progressively smaller particle sizes, microplastics are shown to be less likely to be beached and more likely to reach open water. Smaller particles also generally get mixed deeper, resulting in lower near-surface concentrations of small particles despite their higher total abundance. Microplastic fragmentation is shown to be dominated by beach-based fragmentation, with ocean-based fragmentation processes likely having negligible influence. However, fragmentation remains a slow process acting on decadal time scales and as such likely does not have a major influence on the large-scale distribution of microplastics and mass loss over periods less than 3 years.
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  • 文章类型: Journal Article
    海滩被认为是海洋塑料的大型水库。为了保护脆弱的海滩,有关于这种塑料来源的信息是有利的。这里,我们开发了一个普遍适用的贝叶斯框架来绘制到达特定海滩的塑料来源。在这个框架中,我们将漂移粒子的拉格朗日回溯模拟与海岸线的塑料输入估计相结合,河流和渔业。与传统的拉格朗日模拟相比,其优势在于贝叶斯框架可以考虑已知来源的信息,从而促进了到达指定海滩的塑料的时空来源归属。我们表明,我们在荷兰西南部的目标海滩的主要来源是英国的东海岸,荷兰海岸,英吉利海峡(渔业)和泰晤士河,塞纳河,莱茵河和Trieux(河流)。我们还表明,浮动时间是使用回溯进行源归因的主要不确定性。
    Beaches are thought to be a large reservoir for marine plastics. To protect vulnerable beaches, it is advantageous to have information on the sources of this plastic. Here, we develop a universally applicable Bayesian framework to map sources of plastic arriving on a specific beach. In this framework, we combine Lagrangian backtracking simulations of drifting particles with estimates of plastic input from coastlines, rivers and fisheries. The advantage over traditional Lagrangian simulations is that the Bayesian framework can consider information on known sources, and thus facilitates spatiotemporal source attribution for plastic arriving at the specified beach. We show that the main sources for our target beach in southwest Netherlands are the east coast of the UK, the Dutch coast, the English Channel (fisheries) and the Thames, Seine, Rhine and Trieux (rivers). We also show that floating time is a major uncertainty in source attribution using backtracking.
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  • 文章类型: Journal Article
    咳嗽是呼吸道或空气传播疾病传播的主要症状途径,包括COVID-19。几个参数,如咳嗽的年龄,性别,和姿势影响粒子在室内的分散。这项研究对短暂咳嗽的演变进行了数值调查,污染范围,粒子到达概率,和不同年龄段的男性和女性在通风房间中站立和坐姿的沉积比例。在有和没有空气通风影响的情况下,也研究了布面罩的功效。已实施了经过验证的计算流体动力学方法来模拟复杂的物理学,例如湍流浮力云,粒子-空气相互作用,粒子碰撞/分裂,和液滴蒸发。我们的研究结果表明,由于咳嗽速度和颗粒计数较低,女性的污染范围略低。此外,相当一部分的颗粒通过两米的社会距离指导阈值,咳嗽不受阻碍。此外,与没有口罩的咳嗽相比,戴口罩的平均污染范围减少了大约三分之二的距离。然而,雾化颗粒达到更长的流向距离,并在30秒以上的持续时间内漂移。这项研究可以用来提高加热,通风,以及室内环境中的空调建议和距离指南。
    Coughing is a primary symptomatic pathway of respiratory or air-borne disease transmission, including COVID-19. Several parameters such as cougher\'s age, gender, and posture affect particle dispersion indoors. This study numerically investigates the transient cough evolution, contamination range, particle reach probability, and deposition fraction for different age groups of males and females in standing and sitting postures in a ventilated room. The efficacy of a cloth mask has also been studied with and without the influence of air ventilation. Validated Computational Fluid Dynamics methodology has been implemented to model complex physics such as turbulent buoyant cloud, particle-air interaction, particle collision/breakup, and droplet evaporation. Our results show that overall, the contamination range is slightly lower for females due to lower cough velocities and particle counts. Moreover, a significant fraction of particles crosses the two meters social distancing guideline threshold with an unhindered cough. Besides, wearing a cloth mask reduces the average contamination range by approximately two-third of the distance compared to coughing without the mask. However, aerosolized particles reach longer streamwise distances and drift for extended durations beyond thirty seconds. This study can be used to improve the heating, ventilation, and air conditioning recommendations and distancing guidelines in indoor settings.
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  • 文章类型: Journal Article
    通过拉格朗日方法对空气中微生物的紫外线灭活进行建模的兴趣日益增加,因为其在使用粒子轨迹计算紫外线剂量方面具有出色的功能。在这项研究中,我们应用拉格朗日方法来模拟管道内紫外线灯对三种细菌的消毒性能:产碱假单胞菌,肠沙门氏菌和大肠杆菌,分别。对于建模,通过临界存活概率(CSFP)和最大可承受紫外线剂量(MBUD)方法确定空气中细菌的失活,分别。结果表明,利用MBUD方法进行拉格朗日建模需要适当评估最大紫外线剂量(Dmb),这是空气中的微生物可以承受的。通过使用CSFP方法获得的消毒效果与实验测量结果非常吻合。在拉格朗日框架内,对于管道内紫外线灯的消毒效果建模,临界生存分数(Fsc)的推荐经验值为0.4.此外,全发光长度管道内紫外线灯对产碱杆菌和大肠杆菌的消毒效果为100%,Re在4.11×104至8.22×104范围内。此外,本数值模型还应用于美国环境保护署(EPA)对管道内紫外线灯进行的灭活测量的进一步验证.根据结果,通过本建模方法获得的紫外线消毒效果与EPA实验结果具有紧密的一致性。为了准确地将拉格朗日模型应用于空气紫外线消毒,值得对Fsc的最优值进行更多的研究。
    There has been increasing interest in modeling the UV inactivation on airborne microorganisms via the Lagrangian approach as a result of its outstanding features in calculating UV dose with particle trajectory. In this study, we applied the Lagrangian method to model the disinfection performance of in-duct UV lamps on three bacteria: Pseudomonas alcaligenes, Salmonella enterica and Escherichia coli, respectively. For modeling, the airborne bacteria\'s inactivation was determined by critical survival fraction probability (CSFP) and maximal bearable UV dose (MBUD) methods, respectively. The results indicated that Lagrangian modeling utilizing the MBUD method needs to appropriately evaluate the maximal UV dose (D mb ), which is bearable for airborne microorganisms. The disinfection efficacy obtained by using the CSFP method agreed well with experimental measurements. Within the Lagrangian framework, the recommended empirical value for critical survival fraction (F sc ) was 0.4 for modeling the disinfection efficacy of in-duct UV lamps. Besides, the disinfection efficacies of in-duct UV lamps with full luminous length on P. alcaligenes and E. coli were 100% with Re within the range of 4.11 × 104 to 8.22 × 104. Moreover, the present numerical model was also applied for further validation with inactivation measurements of in-duct UV lamps performed by the U.S. Environmental Protection Agency (EPA). Based on the results, the UV disinfection efficacies obtained by the present modeling method had a closed agreement with EPA experimental results. It deserved to pay more investigations on the optimal value of F sc in further for accurately applying Lagrangian modeling on air UV disinfection.
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  • 文章类型: Journal Article
    改善对城市二氧化碳排放的观测理解,化石CO2的一个庞大而动态的全球来源,可以为碳循环科学和缓解决策提供必要的见解。在这里,我们比较了五个中东城市的城市二氧化碳排放的三个不同的全球二氧化碳排放清单表示(利雅得,麦加,Tabuk,吉达,和巴格达),并使用来自轨道碳观测站-2(OCO-2)卫星的独立卫星观测来评估下午排放的清单表示。我们使用随机时间反向拉格朗日传输(X-STILT)模型的列式版本来解释大气传输并将排放与观测联系起来。我们将XCO2模拟与观察结果进行比较,以确定最佳库存比例因子。应用这些因素,我们发现,所有五个城市的平均总排放量为1年100MtC(50-151,90%CI),这是以前平均库存数量的2.0(1.0,3.0)倍。这些城市的排放总调整为~7%(0%,14%)的中东总排放量(~700MtCyear-1)。我们发现我们的结果对城市排放清单中先前的空间分布不敏感,在没有准确的高分辨率网格化清单的情况下,促进对城市排放量进行稳健的定量评估。
    Improved observational understanding of urban CO2 emissions, a large and dynamic global source of fossil CO2, can provide essential insights for both carbon cycle science and mitigation decision making. Here we compare three distinct global CO2 emissions inventory representations of urban CO2 emissions for five Middle Eastern cities (Riyadh, Mecca, Tabuk, Jeddah, and Baghdad) and use independent satellite observations from the Orbiting Carbon Observatory-2 (OCO-2) satellite to evaluate the inventory representations of afternoon emissions. We use the column version of the Stochastic Time-Inverted Lagrangian Transport (X-STILT) model to account for atmospheric transport and link emissions to observations. We compare XCO2 simulations with observations to determine optimum inventory scaling factors. Applying these factors, we find that the average summed emissions for all five cities are 100 MtC year-1 (50-151, 90% CI), which is 2.0 (1.0, 3.0) times the average prior inventory magnitudes. The total adjustment of the emissions of these cities comes out to ~7% (0%, 14%) of total Middle Eastern emissions (~700 MtC year-1). We find our results to be insensitive to the prior spatial distributions in inventories of the cities\' emissions, facilitating robust quantitative assessments of urban emission magnitudes without accurate high-resolution gridded inventories.
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  • 文章类型: Journal Article
    漂浮的塑料碎片是世界海洋中越来越多的污染源。使用洋流模型的数值模拟可以深入了解微塑料在海洋中的运输和分布,但是大多数模拟都没有考虑到全球正压潮汐引起的振荡流。这里,我们研究了正压潮流对漂浮微塑料的运输和积累的影响,通过数值模拟世界各地海洋释放的虚拟塑料颗粒的平流,并跟踪这些13年。我们使用来自GlobCurrent的地转和地表Ekman电流以及由四个主要潮汐成分(M2,S2,K1,和O1)来自FES模型。我们分析了包含和不包含正压潮流的模拟之间的差异,专注于开放的海洋。在每个模拟中,我们看到微塑料在亚热带回旋区积累,这与观察结果一致。这些积聚区域的形成和位置不受正压潮流的影响。然而,在许多沿海地区,当包括正压潮流时,我们看到了差异。由于该模型在沿海地区的不确定性,需要进一步调查,以便在这些领域得出结论。我们的研究结果表明,在全球开放的海洋中,正压潮流对漂浮微塑料的运输和积累影响很小,因此在旨在研究公海微塑料运输的模拟中可以忽略。
    Floating plastic debris is an increasing source of pollution in the world\'s oceans. Numerical simulations using models of ocean currents give insight into the transport and distribution of microplastics in the oceans, but most simulations do not account for the oscillating flow caused by global barotropic tides. Here, we investigate the influence of barotropic tidal currents on the transport and accumulation of floating microplastics, by numerically simulating the advection of virtual plastic particles released all over the world\'s oceans and tracking these for 13 years. We use geostrophic and surface Ekman currents from GlobCurrent and the currents caused by the four main tidal constituents (M 2 , S 2 , K 1 , and O 1 ) from the FES model. We analyze the differences between the simulations with and without the barotropic tidal currents included, focusing on the open ocean. In each of the simulations, we see that microplastic accumulates in regions in the subtropical gyres, which is in agreement with observations. The formation and location of these accumulation regions remain unaffected by the barotropic tidal currents. However, there are a number of coastal regions where we see differences when the barotropic tidal currents are included. Due to uncertainties of the model in coastal regions, further investigation is required in order to draw conclusions in these areas. Our results suggest that, in the global open ocean, barotropic tidal currents have little impact on the transport and accumulation of floating microplastic and can thus be neglected in simulations aimed at studying microplastic transport in the open ocean.
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  • 文章类型: Journal Article
    已知地球化学系统表现出高度可变的时空行为。这可以在单个采样时间的空间中的非平滑浓度曲线中以及在不同时间从相同位置采集的样品之间的可变性中观察到。然而,大多数被设计来模拟这些系统的模型仅提供单解平滑曲线,并且无法捕获在数据中看到的噪声和可变性。我们将最近开发的反应性粒子跟踪方法应用于显示高度复杂的地球化学行为的系统。当该方法与相应的欧拉方法最相似时,以其不受干扰的形式,我们看到两个模型的解之间接近精确匹配。更重要的是,我们考虑了两种干扰模型的方法,并发现空间扰动条件能够捕获数据中存在的更大程度的可变性。这种摄动方法是粒子方法唯一适合的任务,而欧拉模型则不适合。此外,由于算法的性质,噪声空间梯度可以由大量移动粒子高度解析,这带来了微不足道的计算成本,与昂贵的化学计算相比。
    Geochemical systems are known to exhibit highly variable spatiotemporal behavior. This may be observed both in non-smooth concentration curves in space for a single sampling time and also in variability between samples taken from the same location at different times. However, most models that are designed to simulate these systems provide only single-solution smooth curves and fail to capture the noise and variability seen in the data. We apply a recently developed reactive particle-tracking method to a system that displays highly complex geochemical behavior. When the method is made to most closely resemble a corresponding Eulerian method, in its unperturbed form, we see near-exact match between solutions of the two models. More importantly, we consider two approaches for perturbing the model and find that the spatially-perturbed condition is able to capture a greater degree of the variability present in the data. This method of perturbation is a task to which particle methods are uniquely suited and Eulerian models are not well-suited. Additionally, because of the nature of the algorithm, noisy spatial gradients can be highly resolved by a large number of mobile particles, and this incurs negligible computational cost, as compared to expensive chemistry calculations.
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  • 文章类型: Journal Article
    众所周知,海洋中漂浮的微塑料在亚热带洋流中积累,但仍不清楚是什么原因导致了这种积累。我们研究了各种物理过程的作用,如地表埃克曼和地转流,表面斯托克斯漂移,和中尺度的涡流活动,使用GlobCurrent和WaveWatchIII再分析产品进行拉格朗日粒子跟踪,研究漂浮微塑料的全球表面分布。全球范围内,微塑料积聚(积聚区)的位置在很大程度上取决于Ekman电流。对北太平洋和北大西洋的模拟表明,使用GlobalCurrentTotal(Ekman地转)流建模的累积带的位置通常与在北太平洋观察到的微塑料分布以及在北大西洋的地带性分布一致。地转电流和斯托克斯漂移不会导致亚热带地区的大规模微塑料积累,但是斯托克斯漂移导致微塑料向北极地区的运输增加。由于WaveWatchIII斯托克斯漂移和GlobCurrentEkman电流数据集不是独立的,将斯托克斯漂移与其他当前分量相结合会导致对斯托克斯漂移效应的高估,因此需要对不同海洋环流分量进行独立测量。我们研究风阻是否适合作为斯托克斯漂移的代理,但在建模的方向和大小上发现了差异。在北太平洋,我们发现微塑料倾向于在涡流动能相对较低的区域积累,表明中尺度涡流活动低,但是我们在北大西洋没有看到类似的趋势。
    Floating microplastic in the oceans is known to accumulate in the subtropical ocean gyres, but unclear is still what causes that accumulation. We investigate the role of various physical processes, such as surface Ekman and geostrophic currents, surface Stokes drift, and mesoscale eddy activity, on the global surface distribution of floating microplastic with Lagrangian particle tracking using GlobCurrent and WaveWatch III reanalysis products. Globally, the locations of microplastic accumulation (accumulation zones) are largely determined by the Ekman currents. Simulations of the North Pacific and North Atlantic show that the locations of the modeled accumulation zones using GlobCurrent Total (Ekman+Geostrophic) currents generally agree with observed microplastic distributions in the North Pacific and with the zonal distribution in the North Atlantic. Geostrophic currents and Stokes drift do not contribute to large-scale microplastic accumulation in the subtropics, but Stokes drift leads to increased microplastic transport to Arctic regions. Since the WaveWatch III Stokes drift and GlobCurrent Ekman current data sets are not independent, combining Stokes drift with the other current components leads to an overestimation of Stokes drift effects and there is therefore a need for independent measurements of the different ocean circulation components. We investigate whether windage would be appropriate as a proxy for Stokes drift but find discrepancies in the modeled direction and magnitude. In the North Pacific, we find that microplastic tends to accumulate in regions of relatively low eddy kinetic energy, indicating low mesoscale eddy activity, but we do not see similar trends in the North Atlantic.
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  • 文章类型: Journal Article
    This paper presents the performance of utilizing a bacterial foraging optimization algorithm on a PID control scheme for controlling a five DOF two-wheeled robotic machine with two-directional handling mechanism. The system under investigation provides solutions for industrial robotic applications that require a limited-space working environment. The system nonlinear mathematical model, derived using Lagrangian modeling approach, is simulated in MATLAB/Simulink® environment. Bacterial foraging-optimized PID control with decoupled nature is designed and implemented. Various working scenarios with multiple initial conditions are used to test the robustness and the system performance. Simulation results revealed the effectiveness of the bacterial foraging-optimized PID control method in improving the system performance compared to the PID control scheme.
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