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Numerical Study on the Impact Pressure of Droplets on Wind Turbine Blades Using a Whirling Arm Rain Erosion Tester 利用旋臂雨水侵蚀测试仪对风力涡轮机叶片上的水滴冲击压力进行数值研究
Pub Date : 2024-07-15 DOI: 10.3390/fluids9070160
Nobuyuki Fujisawa, Hirokazu Kawabata
The leading-edge erosion of a wind turbine blade was tested using a whirling arm rain erosion tester, whose rotation rate is considerably higher than that of a full-scale wind turbine owing to the scale effect. In this study, we assessed the impact pressure of droplets on a wet surface of wind turbine blades using numerical simulation of liquid droplet impact by solving the Navier–Stokes equations combined with the volume-of-fluid method. This was conducted in combination with an estimation of liquid film thickness on the rotating blade using an approximate solution of Navier–Stokes equations considering the centrifugal and Coriolis forces. Our study revealed that the impact pressure on the rain erosion tester exceeded that on the wind turbine blade, attributed to the thinner liquid film on the rain erosion tester than on the wind turbine blade caused by the influence of centrifugal and Coriolis forces. This indicates the importance of correcting the influence of liquid-film thickness in estimating the impact velocity of droplets on the wind turbine blade. Furthermore, we demonstrated the correction procedure when estimating the impact velocity of droplets on the wind turbine blade.
风力涡轮机叶片的前缘侵蚀是使用旋臂雨侵蚀测试仪进行测试的,由于尺度效应,该测试仪的旋转速度远远高于全尺寸风力涡轮机的旋转速度。在这项研究中,我们通过求解纳维-斯托克斯方程并结合流体体积法对液滴冲击进行数值模拟,评估了液滴对风力涡轮机叶片湿表面的冲击压力。在进行数值模拟的同时,还利用纳维-斯托克斯方程的近似解法估算了旋转叶片上的液膜厚度,并考虑了离心力和科里奥利力。我们的研究表明,雨水侵蚀测试仪上的冲击压力超过了风力涡轮机叶片上的冲击压力,这是因为在离心力和科里奥利力的影响下,雨水侵蚀测试仪上的液膜比风力涡轮机叶片上的液膜薄。这表明在估算液滴对风轮叶片的冲击速度时,校正液膜厚度的影响非常重要。此外,我们还演示了估算液滴对风轮叶片冲击速度时的修正程序。
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引用次数: 0
Numerical Simulations of Scalar Transport on Rough Surfaces 粗糙表面上的标量传输数值模拟
Pub Date : 2024-07-11 DOI: 10.3390/fluids9070159
Zvi Hantsis, U. Piomelli
Numerical simulations provide unfettered access to details of the flow where experimental measurements are difficult to obtain. This paper summarises the progress achieved in the study of passive scalars in flows over rough surfaces thanks to recent numerical simulations. Townsend’s similarity applies to various scalar statistics, implying the differences due to roughness are limited to the roughness sublayer (RSL). The scalar field exhibits a diffusive sublayer that increasingly conforms to the roughness surface as ks+ or Pr increase. The scalar wall flux is enhanced on the windward slopes of the roughness, where the analogy between momentum and scalar holds well; the momentum and scalar fields, however, have very different behaviours downwind of the roughness elements, due to recirculation, which reduces the scalar wall flux. Roughness causes breakdown of the Reynolds analogy: any increase in St is accompanied by a larger increase in cf. A flattening trend for the scalar roughness function, ΔΘ+, is observed as ks+ increases, suggesting the possibility of a scalar fully rough regime, different from the velocity one. The form-induced (FI) production of scalar fluctuations becomes dominant inside the RSL and is significantly different from the FI production of turbulent kinetic energy, resulting in notable differences between the scalar and velocity fluctuations. Several key questions remain open, in particular regarding the existence of a fully rough scalar regime and its characteristics. With the increase in Re and Pr, various quantities such as scalar roughness function, the dispersive fluxes, FI wall flux, etc., appear to trend towards saturation. However, the limited range of Re and Pr achieved by numerical simulations only allows us to speculate regarding such asymptotic behaviour. Beyond extending the range of Re and Pr, systematic coverage of different roughness types and topologies is needed, as the scalar appears to remain sensitive to the geometrical details.
在难以获得实验测量结果的情况下,数值模拟可以让我们无障碍地了解流动的细节。本文总结了近期数值模拟在研究粗糙表面上流动的被动标量方面取得的进展。汤森相似性适用于各种标量统计,这意味着粗糙度造成的差异仅限于粗糙度子层(RSL)。随着 ks+ 或 Pr 的增加,标量场呈现出一个扩散子层,它越来越贴近粗糙度表面。标量壁通量在粗糙度的迎风坡上得到增强,动量和标量之间的类比关系在这里得到了很好的体现;然而,由于再循环减少了标量壁通量,动量场和标量场在粗糙度元素的下风处表现得截然不同。随着 ks+ 的增加,标量粗糙度函数 ΔΘ+ 呈扁平化趋势,这表明可能存在一种不同于速度粗糙度的标量完全粗糙状态。标量波动的形式诱导(FI)产生在 RSL 内部占据主导地位,与湍流动能的 FI 产生明显不同,导致标量波动与速度波动之间存在显著差异。有几个关键问题仍未解决,特别是关于是否存在完全粗糙的标量机制及其特征。随着 Re 和 Pr 的增加,标量粗糙度函数、分散通量、FI 壁通量等各种量似乎趋于饱和。然而,由于数值模拟实现的 Re 和 Pr 范围有限,我们只能对这种渐近行为进行推测。除了扩大 Re 和 Pr 的范围,还需要系统地覆盖不同的粗糙度类型和拓扑结构,因为标量似乎对几何细节仍然很敏感。
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引用次数: 0
Artificial Intelligence Techniques for the Hydrodynamic Characterization of Two-Phase Liquid–Gas Flows: An Overview and Bibliometric Analysis 用于液气两相流流体动力学特征描述的人工智能技术:概述与文献计量分析
Pub Date : 2024-07-08 DOI: 10.3390/fluids9070158
July Andrea Gómez Camperos, Marlon Mauricio Hernández Cely, Aldo Pardo García
Accurately and instantly estimating the hydrodynamic characteristics in two-phase liquid–gas flow is crucial for industries like oil, gas, and other multiphase flow sectors to reduce costs and emissions, boost efficiency, and enhance operational safety. This type of flow involves constant slippage between gas and liquid phases caused by a deformable interface, resulting in changes in gas volumetric fraction and the creation of structures known as flow patterns. Empirical and numerical methods used for prediction often result in significant inaccuracies during scale-up processes. Different methodologies based on artificial intelligence (AI) are currently being applied to predict hydrodynamic characteristics in two-phase liquid–gas flow, which was corroborated with the bibliometric analysis where AI techniques were found to have been applied in flow pattern recognition, volumetric fraction determination for each fluid, and pressure gradient estimation. The results revealed that a total of 178 keywords in 70 articles, 29 of which reached the threshold (machine learning, flow pattern, two-phase flow, artificial intelligence, and neural networks as the high predominance), were published mainly in Flow Measurement and Instrumentation. This journal has the highest number of published articles related to the studied topic, with nine articles. The most relevant author is Efteknari-Zadeh, E, from the Institute of Optics and Quantum Electronics.
准确、即时地估算液气两相流的流体力学特性,对于石油、天然气等行业和其他多相流领域降低成本、减少排放、提高效率和运营安全至关重要。这种类型的流动涉及由可变形界面引起的气相和液相之间的持续滑动,从而导致气体体积分数的变化,并产生称为流动模式的结构。在放大过程中,用于预测的经验和数值方法往往会导致严重的误差。目前,基于人工智能(AI)的不同方法正被用于预测液气两相流的流体力学特性,文献计量分析证实了这一点,并发现人工智能技术已被应用于流动模式识别、每种流体的体积分数确定和压力梯度估算。结果显示,在 70 篇文章中共有 178 个关键词,其中 29 个达到了阈值(机器学习、流动模式、两相流、人工智能和神经网络占绝大多数),这些关键词主要发表在《流量测量与仪表》上。该期刊发表的与研究主题相关的文章数量最多,共有 9 篇。最相关的作者是来自光学和量子电子学研究所的 Efteknari-Zadeh,E。
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引用次数: 0
Design Considerations and Flow Characteristics for Couette-Type Blood-Shear Devices Couette 型血液剪切装置的设计考虑因素和流动特性
Pub Date : 2024-07-07 DOI: 10.3390/fluids9070157
Xingbang Chen, Eldad J. Avital, Shahid Imran, M. M. Abbas, Patrick Hinkle, Theodosios Alexander
Cardiovascular prosthetic devices, stents, prosthetic valves, heart-assist pumps, etc., operate in a wide regime of flows characterized by fluid dynamic flow structures, laminar and turbulent flows, unsteady flow patterns, vortices, and other flow disturbances. These flow disturbances cause shear stress, hemolysis, platelet activation, thrombosis, and other types of blood trauma, leading to neointimal hyperplasia, neoatherosclerosis, pannus overgrowth, etc. Couette-type blood-shearing devices are used to simulate and then clinically measure blood trauma, after which the results can be used to assist in the design of the cardiovascular prosthetic devices. However, previous designs for such blood-shearing devices do not cover the whole range of flow shear, Reynolds numbers, and Taylor numbers characteristic of all types of implanted cardiovascular prosthetic devices, limiting the general applicability of clinical data obtained by tests using different blood-shearing devices. This paper presents the key fluid dynamic parameters that must be met. Based on this, Couette device geometric parameters such as diameter, gap, flow rate, shear stress, and temperature are carefully selected to ensure that the device’s Reynolds numbers, Taylor number, operating temperature, and shear stress in the gap fully represent the flow characteristics across the operating range of all types of cardiovascular prosthetic devices. The outcome is that the numerical data obtained from the presented device can be related to all such prosthetic devices and all flow conditions, making the results obtained with such shearing devices widely applicable across the field. Numerical simulations illustrate that the types of flow patterns generated in the blood-shearing device meet the above criteria.
心血管假体设备、支架、假体瓣膜、心脏辅助泵等都是在以流体动态流动结构、层流和湍流、不稳定流动模式、涡流和其他流动干扰为特征的广泛流动环境中工作的。这些流动扰动会造成剪切应力、溶血、血小板活化、血栓形成和其他类型的血液创伤,导致新内膜增生、新动脉硬化、脓肿过度生长等。Couette 型血液剪切装置用于模拟血液创伤,然后进行临床测量,测量结果可用于辅助心血管假体装置的设计。然而,以往此类血液剪切装置的设计并没有涵盖所有类型植入式心血管假体装置所特有的整个流动剪切力、雷诺数和泰勒数范围,从而限制了使用不同血液剪切装置进行测试所获得的临床数据的普遍适用性。本文介绍了必须满足的关键流体动力学参数。在此基础上,对 Couette 装置的几何参数(如直径、间隙、流速、剪切应力和温度)进行了精心选择,以确保装置的雷诺数、泰勒数、工作温度和间隙中的剪切应力完全代表所有类型心血管假体装置工作范围内的流动特性。其结果是,从所介绍的装置中获得的数值数据可与所有此类假体装置和所有流动条件相关联,从而使通过此类剪切装置获得的结果可广泛应用于整个领域。数值模拟表明,血液剪切装置中产生的流动模式类型符合上述标准。
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引用次数: 0
Shedding of Cavitation Clouds in an Orifice Nozzle 孔型喷嘴中气蚀云的脱落
Pub Date : 2024-07-05 DOI: 10.3390/fluids9070156
Taihei Onishi, Kaizheng Li, Hong Ji, Guoyi Peng
Focused on the unsteady property of a cavitating water jet issuing from an orifice nozzle in a submerged condition, this paper presents a fundamental investigation of the periodicity of cloud shedding and the mechanism of cavitation cloud formation and release by combining the use of high-speed camera observation and flow simulation methods. The pattern of cavitation cloud shedding is evaluated by analyzing sequence images from a high-speed camera, and the mechanism of cloud formation and release is further examined by comparing the results of flow visualization and numerical simulation. It is revealed that one pair of ring-like clouds consisting of a leading cloud and a subsequent cloud is successively shed downstream, and this process is periodically repeated. The leading cloud is principally split by a shear vortex flow along the nozzle exit wall, and the subsequent cloud is detached by a re-entrant jet generated while a fully extended cavity breaks off. The subsequent cavitation cloud catches the leading one, and they coalesce over the range of . Cavitation clouds shed downstream from the nozzle at two dominant frequencies. The Strouhal number of the leading cavitation cloud shedding varies from 0.21 to 0.29, corresponding to the injection pressure. The mass flow rate coefficient fluctuates within the range of at the same frequency as the leading cloud shedding under the effect of cavitation.
本文以孔型喷嘴喷出的空化水流在浸没状态下的非稳态特性为研究对象,结合高速摄像观测和流动模拟方法,对空化云脱落的周期性以及空化云形成和释放的机理进行了基础研究。通过分析高速摄像机拍摄的序列图像,评估了空化云脱落的规律,并通过比较流动可视化和数值模拟的结果,进一步研究了空化云形成和释放的机理。结果表明,由前导云和后续云组成的一对环状云团依次向下游脱落,这一过程周期性重复。前导云主要由沿喷嘴出口壁的剪切涡流分裂而成,而后续云则由一个完全扩展的空腔断裂时产生的再入射流分离。随后的空化云捕捉到前导云,并在两个主要频率范围内凝聚在一起。 从喷嘴下游脱落的空化云有两个主要频率。前导空化云脱落的斯特劳哈尔数在 0.21 到 0.29 之间变化,与喷射压力相对应。在气蚀作用下,质量流量系数在与前导气蚀云脱落频率相同的范围内波动。
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引用次数: 0
Experimental Investigation of the Performance of a Novel Ejector–Diffuser System with Different Supersonic Nozzle Arrays 带有不同超音速喷嘴阵列的新型喷射器-扩散器系统性能的实验研究
Pub Date : 2024-07-02 DOI: 10.3390/fluids9070155
Dachuan Xu, Yunsong Gu, Wei Li, Jingxiang Chen
The supersonic–supersonic ejector–diffuser system is employed to suck supersonic low-pressure and low-temperature flow into a high-pressure environment. A new design of a supersonic–supersonic ejector–diffuser was introduced to verify pressure control performance under different operating conditions and vacuum background pressure. A 1D analysis was used to predict the geometrical structure of an ejector–diffuser with a rectangular section based on the given operating conditions. Different numbers and types of nozzle plates were designed and installed on the ejector to study the realizability of avoiding or postponing the aerodynamic choking phenomenon in the mixing section. The effects of different geometrical parameters on the operating performance of the ejector–diffuser system were discussed in detail. Experimental investigation of the effects of different types of nozzle plates and the back pressures on the pressure control performance of the designed ejector–diffuser system were performed in a straight-flow wind tunnel. The results showed that the position, type and number of the nozzle plates have a significant impact on the beginning of the formation of aerodynamic choking. The geometry of the ejector and the operating conditions, especially the backpressure and inlet pressure of the ejecting stream, determined the entrainment ratio of the two supersonic streams. The experimental results showed that long nozzle-plate had a better performance in terms of maintaining pressure stability in the test section, while short a nozzle-plate had a better pressure matching performance and could maintain a higher entrainment ratio under high backpressure conditions.
超音速-超音速喷射器-扩散器系统用于将超音速低压和低温气流吸入高压环境。我们引入了一种新设计的超音速-超音速喷射器-扩散器,以验证在不同工作条件和真空背景压力下的压力控制性能。根据给定的工作条件,使用一维分析预测了矩形截面喷射器-扩散器的几何结构。设计并在喷射器上安装了不同数量和类型的喷嘴板,以研究避免或推迟混合段气动窒息现象的可行性。详细讨论了不同几何参数对喷射器-扩散器系统运行性能的影响。在直流风洞中对不同类型的喷嘴板和背压对所设计的喷射器-扩散器系统的压力控制性能的影响进行了实验研究。结果表明,喷嘴板的位置、类型和数量对开始形成空气动力窒息有显著影响。喷射器的几何形状和工作条件,特别是喷射流的背压和入口压力,决定了两股超音速气流的夹带率。实验结果表明,长喷嘴板在保持试验段压力稳定性方面具有更好的性能,而短喷嘴板具有更好的压力匹配性能,并能在高背压条件下保持较高的夹带比。
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引用次数: 0
Pump System Model Parameter Identification Based on Experimental and Simulation Data 基于实验和模拟数据的泵系统模型参数识别
Pub Date : 2024-06-04 DOI: 10.3390/fluids9060136
Sheldon Wang, Dalong Gao, Alexandria Wester, Kalyb Beaver, Shanae Edwards, Carrie Anne Taylor
In this paper, the entire downhole fluid-sucker rod-pump system is replaced with a viscoelastic vibration model, namely a third-order differential equation with an inhomogeneous forcing term. Both Kelvin’s and Maxwell’s viscoelastic models can be implemented along with the dynamic behaviors of a mass point attached to the viscoelastic model. By employing the time-dependent polished rod force measured with a dynamometer as the input to the viscoelastic dynamic model, we have obtained the displacement responses, which match closely with the experimental measurements in actual operations, through an iterative process. The key discovery of this work is the feasibility of the so-called inverse optimization procedure, which can be utilized to identify the equivalent scaling factor and viscoelastic system parameters. The proposed Newton–Raphson iterative method, with some terms in the Jacobian matrix expressed with averaged rates of changes based on perturbations of up to two independent parameters, provides a feasible tool for optimization issues related to complex engineering problems with mere information of input and output data from either experiments or comprehensive simulations. The same inverse optimization procedure is also implemented to model the entire fluid delivery system of a very viscous non-Newtonian polymer modeled as a first-order ordinary differential equation (ODE) system similar to the transient entrance developing flow. The convergent parameter reproduces transient solutions that match very well with those from fully fledged computational fluid dynamics models with the required inlet volume flow rate and outlet pressure conditions.
本文将整个井下流体-吸油杆-泵系统替换为粘弹性振动模型,即带有非均质强迫项的三阶微分方程。开尔文粘弹性模型和麦克斯韦粘弹性模型都可以实现,同时还可以实现粘弹性模型上质量点的动态行为。通过使用测力计测得的随时间变化的抛光杆力作为粘弹性动态模型的输入,我们通过迭代过程获得了与实际操作中的实验测量结果非常吻合的位移响应。这项工作的关键发现是所谓的反向优化程序的可行性,该程序可用于确定等效缩放因子和粘弹性系统参数。所提出的牛顿-拉夫逊迭代法的雅各布矩阵中的某些项是根据对最多两个独立参数的扰动,用平均变化率来表示的,它为与复杂工程问题相关的优化问题提供了一个可行的工具,而这些问题的解决只需从实验或综合模拟中获得输入和输出数据信息。同样的逆向优化程序还被用于模拟粘性极强的非牛顿聚合物的整个流体输送系统,该系统被模拟为一阶常微分方程(ODE)系统,类似于瞬态入口显影流。收敛参数再现的瞬态解与完全成熟的计算流体动力学模型的瞬态解非常吻合,且符合所需的入口体积流量和出口压力条件。
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引用次数: 0
Laminar Boundary Layer over a Serrated Backward-Facing Step 反向锯齿形台阶上的层流边界层
Pub Date : 2024-06-02 DOI: 10.3390/fluids9060135
Real J. Kc, Trevor C. Wilson, Nicholas A. Lucido, Aaron S. Alexander, Jamey D. Jacob, Brian R. Elbing
Laminar flow over a modified backward-facing step (BFS) was studied experimentally and computationally, with the results compared to a flight test on a Piper Cherokee wing. The BFS was modified with a serrated spanwise variation while maintaining a constant step height, and this modification is termed a serrated BFS (sBFS). A scaling law was proposed and then used to develop the experimental operation conditions. The experiments showed evidence that the transition to turbulence was delayed over the forward part of the serration (termed the valley). The boundary layer growth and characterization were used to validate the computational model, which was then used to examine details not available from the experiment, including the wall shear stress distribution and streamlines as they go over the sBFS. The wall shear stress showed the formation of low-shear diamonds downstream of the sBFS valley that were associated with laminar flow, which confirmed previous assumptions about the low-shear diamonds observed in the flight tests. The length of the low-shear diamonds was scaled with the sBFS geometry. Finally, the streamlines showed that the near-wall flow forward of the sBFS is pumped towards the sBFS peak, where it rapidly transitions to turbulence at that location.
通过实验和计算对改进的后向台阶(BFS)上的层流进行了研究,并将研究结果与在派珀切诺基机翼上进行的飞行试验进行了比较。在保持台阶高度不变的情况下,对 BFS 进行了跨度上的锯齿状修改,这种修改被称为锯齿状 BFS(sBFS)。提出了一个缩放定律,然后用于制定实验操作条件。实验表明,在锯齿的前部(称为谷),向湍流的过渡被延迟。边界层的增长和特征描述被用来验证计算模型,计算模型随后被用来检查实验中无法获得的细节,包括壁面剪应力分布和流经 sBFS 时的流线。壁面剪应力显示,在 sBFS 谷下游形成了与层流相关的低剪切菱形,这证实了之前在飞行试验中观察到的低剪切菱形的假设。低剪切菱形的长度与 sBFS 的几何形状成比例。最后,流线显示 sBFS 前方的近壁流被抽向 sBFS 峰,并在该位置迅速转变为湍流。
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引用次数: 0
AI-Based Detection of Surge and Rotating Stall in Axial Compressors via Dynamic Model Parameter Estimation 通过动态模型参数估计,基于人工智能检测轴流式压缩机中的浪涌和旋转失速
Pub Date : 2024-06-01 DOI: 10.3390/fluids9060134
Sara Zanotti, Davide Ceschini, Michele Ferlauto
Compressors are an essential component of aircraft engines. Their design and operation must be extremely reliable as engine safety and performance depend greatly on these elements. Axial compressors exhibit instabilities, such as surge or rotating stall, in a region close to the peak of their performance curves. These fluid dynamic instabilities can cause drops in efficiency, stress on the blades, fatigue, and even failures. Compressors are handled therefore by operating with a safety margin far from the surge line. Moreover, models able to predict onset instabilities and to reproduce them are of great interest. A dynamic system able to describe successfully both surge and rotating stall is the model presented by Moore and Greitzer That model has also been used for developing control laws of the compressor dynamics. The present work aims at developing an artificial neural network (ANN) approach able to predict either the permanence of the system in stable working condition or the onset instabilities from a time sequence of the compressor dynamics. Different solutions were tried to find the most suitable model for identifying the system, as well as the effects of the duration of the time sequence on the accuracy of the predicted compressor working conditions. The network was further tried for sequences with different initial values in order to perform a system analysis that included multiple variations from the initial database. The results show how it is possible to identify with high accuracy both rotating stall and surge with the ANN approach. Moreover, the presence of an underlying fluid dynamic model shares some similarities with physically informed AI procedures.
压缩机是飞机发动机的重要组成部分。它们的设计和运行必须极其可靠,因为发动机的安全和性能在很大程度上取决于这些元件。轴向压缩机在接近其性能曲线峰值的区域会表现出不稳定性,例如涌流或旋转失速。这些流体动力不稳定性会导致效率下降、叶片受力、疲劳甚至故障。因此,压缩机的运行安全系数应远离激波线。此外,能够预测起动不稳定性并重现这些不稳定性的模型也非常重要。Moore 和 Greitzer 提出的模型是一个能够成功描述喘振和旋转失速的动态系统。目前的工作旨在开发一种人工神经网络(ANN)方法,能够从压缩机动态的时间序列中预测系统在稳定工作状态下的持久性或不稳定性。为了找到最适合识别系统的模型,以及时间序列的持续时间对预测压缩机工作条件准确性的影响,我们尝试了不同的解决方案。为了进行包含初始数据库多种变化的系统分析,还进一步尝试了具有不同初始值的网络序列。结果表明,ANN 方法可以高精度地识别旋转失速和浪涌。此外,底层流体动力学模型的存在与物理信息人工智能程序有一些相似之处。
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引用次数: 0
Convergence towards High-Speed Steady States Using High-Order Accurate Shock-Capturing Schemes 利用高阶精确冲击捕捉方案收敛至高速稳定状态
Pub Date : 2024-06-01 DOI: 10.3390/fluids9060133
Juan C. Assis, Ricardo D. Santos, Mateus S. Schuabb, C. Falcão, R. B. Freitas, L. D. B. Alves
Creating time-marching unsteady governing equations for a steady state in high-speed flows is not a trivial task. Residue convergence in time cannot be achieved when using most low- and high-order spatial discretization schemes. Recently, high-order, weighted, essentially non-oscillatory schemes have been specially designed for steady-state simulations. They have been shown to be capable of achieving machine precision residues when simulating the Euler equations under canonical coordinates. In the present work, we review these schemes and show that they can also achieve machine residues when simulating the Navier–Stokes equations under generalized coordinates. This is carried out by considering three supersonic flows of perfect fluids, namely the flow upstream a cylinder, the flow over a blunt wedge, and the flow over a compression ramp.
为高速流动中的稳定状态创建时间行进的非稳态控制方程并非易事。使用大多数低阶和高阶空间离散化方案都无法实现时间上的残差收敛。最近,人们专门为稳态模拟设计了高阶、加权、本质上非振荡的方案。这些方案已被证明能够在典型坐标下模拟欧拉方程时实现机器精度残差。在本研究中,我们回顾了这些方案,并证明它们在广义坐标下模拟纳维-斯托克斯方程时也能获得机器精度残差。我们考虑了三种完美流体的超音速流动,即圆柱体上游的流动、钝楔上的流动和压缩斜面上的流动。
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引用次数: 0
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Fluids
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