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Lattice Boltzmann simulation of flow boiling heat transfer process in a horizontal microchannel with rectangular cavities 带矩形腔的水平微通道中流动沸腾传热过程的格子波兹曼模拟
IF 2.5 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-29 DOI: 10.1016/j.compfluid.2024.106350
Jie Li , Lin Zheng , Hutao Cui

Bubble nucleation, growth and separation from cavities on the bottom of a microchannel for subcooled flow boiling are investigated by pseudo-potential lattice Boltzmann method. The influence of subcooling temperature, wall superheat, wettability, cavity size, and cavity number on the flow boiling heat transfer is systematically studied. The results show that the bubble equivalent diameter is 1.9 times larger at subcooling temperature 0.05Tc than that at 0.15Tc, and the heat flux is also 8 % higher at subcooling temperature 0.05Tc than that at 0.15Tc. It is found that the flow boiling changes from nucleate boiling to film boiling with the increase of wall superheat. When the wall wettability changes from the hydrophobic wall (θ = 120°) to the hydrophilic wall (θ = 30°), the average Nusselt number (Nuav) is reduced by 23 %. We also optimize cavity height and the uniformly distributed cavity number in the microchannel. It is found that the Nuav is increased by 9.7 % when the cavity height changes from h = 20lu (lattice unit) to h = 60lu. However, there exists an optimal cavity height about h = 60lu, where the heat transfer performance cannot be improved with the cavity height over this value. In addition, the number of cavities in the microchannel can improve the boiling heat transfer. When the cavity number changes from 1 to 4, the Nuav is increased by 10 %.

采用伪电位晶格玻尔兹曼法研究了过冷流动沸腾微通道底部空腔中气泡的成核、生长和分离。系统研究了过冷温度、壁面过热度、润湿性、空穴尺寸和空穴数对流动沸腾传热的影响。结果表明,过冷温度为 0.05Tc 时的气泡等效直径是 0.15Tc 时的 1.9 倍,过冷温度为 0.05Tc 时的热通量也比 0.15Tc 时高 8%。研究发现,随着壁面过热度的增加,流动沸腾从核沸腾变为膜沸腾。当壁润湿性从疏水壁(θ = 120°)变为亲水壁(θ = 30°)时,平均努塞尔特数(Nuav)降低了 23%。我们还优化了微通道中的空腔高度和均匀分布的空腔数。结果发现,当空腔高度从 h = 20lu(晶格单位)变为 h = 60lu 时,Nuav 增加了 9.7%。然而,在 h = 60lu 左右存在一个最佳空腔高度,空腔高度超过该值时,传热性能无法提高。此外,微通道中的空腔数也能改善沸腾传热。当空腔数从 1 变为 4 时,Nuav 增加了 10%。
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引用次数: 0
Jumping behavior of water nanodroplets on a superhydrophobic surface in high Ohnesorge number (Oh) regime 超疏水性表面上纳米水滴在高欧内索尔格数(Oh)状态下的跳跃行为
IF 2.5 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-24 DOI: 10.1016/j.compfluid.2024.106344
Ertiza Hossain Shopnil, Md. Nadeem Azad, Jahid Emon, A.K.M. Monjur Morshed

The coalescence-induced jumping of nanodroplets on superhydrophobic surfaces has recently gained research attention due to its application in energy harvesting, self-cleaning, and cooling of nanoscale electronic devices. This study aims to investigate the jumping behavior of water nanodroplets in a high Ohnesorge number regime, where 0.45 < Oh < 1 and identify the critical size of droplets where jumping terminates. The study utilized molecular dynamics simulations to analyze the jumping characteristics of droplets ranging from 1.5 nm to 7 nm in radius. The findings of this research developed a universal jumping mechanism for droplets of all sizes, identified the lower limit of droplet size, below which coalescence-induced jumping does not occur, and explained a special phenomenon of jumping velocity becoming maximum before it approaches zero. The study also investigated how jumping terminates due to the size difference between droplets. These findings align well with prior micro-scale studies and experimental predictions. Surface energy, viscous dissipation, kinetic energy, and varying surface tension have been identified as the dominating factors influencing nanoscale droplet jumping at such a high Oh regime. The findings will provide insights for developing various applications at this scale.

超疏水性表面上纳米水滴的凝聚诱导跃迁最近引起了研究的关注,因为它可应用于能量收集、自清洁和纳米级电子设备的冷却。本研究旨在研究纳米水滴在高奥氏数(0.45 < Oh < 1)条件下的跃迁行为,并确定终止跃迁的临界水滴尺寸。研究利用分子动力学模拟分析了半径从 1.5 纳米到 7 纳米的液滴的跃迁特性。研究结果为各种尺寸的液滴建立了通用的跃迁机制,确定了液滴尺寸的下限,低于该下限就不会发生凝聚诱导的跃迁,并解释了跃迁速度在趋近于零之前变为最大值的特殊现象。研究还探讨了液滴之间的尺寸差异如何导致跃迁终止。这些发现与之前的微尺度研究和实验预测非常吻合。研究发现,表面能、粘性耗散、动能和不同的表面张力是影响纳米级液滴在如此高的哦度下跳跃的主要因素。这些发现将为开发这一尺度的各种应用提供启示。
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引用次数: 0
On the generation of free-stream turbulence at low Reynolds number: A numerical study 低雷诺数自由流湍流的产生:数值研究
IF 2.5 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-24 DOI: 10.1016/j.compfluid.2024.106345
J.M. Catalán , S. Olivieri , M. García-Villalba , O. Flores

We investigate the generation of free-stream perturbations at a relatively low characteristic Reynolds number of 1000 by means of direct numerical simulations using a synthetic turbulence generation method. This approach consists of generating turbulent fluctuations by means of digital filtering and a source term formulation in the Navier–Stokes equations. To assess its validity in the framework of decaying turbulence, we compare the results with those obtained with a physically-based, grid-induced turbulent flow in terms of spatial decay, evolution of characteristic length-scales and energy spectra. Also, we highlight relevant differences such as those in the streamwise development length and the anisotropy of the largest scales. Then, we characterize the generated perturbations when systematically varying the input parameters, namely the initial integral length-scale and turbulence intensity. Here, we notice differences in the streamwise decay of the turbulence intensity and the development length as we vary these parameters. By inspecting the evolution of the characteristic length-scales and the micro-scale Reynolds number, we also identify that the effective scale separation is highly sensitive to these variations.

我们利用合成湍流生成方法,通过直接数值模拟,研究了在相对较低的特征雷诺数(1000)下自由流扰动的生成。这种方法包括通过数字滤波和纳维-斯托克斯方程中的源项公式生成湍流波动。为了评估该方法在衰减湍流框架中的有效性,我们从空间衰减、特征长度尺度和能量谱的演变等方面,将其结果与基于物理网格诱导的湍流进行了比较。此外,我们还强调了相关差异,例如流向发展长度和最大尺度的各向异性。然后,我们分析了系统改变输入参数(即初始积分长度尺度和湍流强度)时产生的扰动特征。在这里,我们注意到,当我们改变这些参数时,湍流强度的流向衰减和发展长度会有所不同。通过观察特征长度尺度和微尺度雷诺数的演变,我们还发现有效尺度分离对这些变化非常敏感。
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引用次数: 0
Accuracy and performance evaluation of low density internal and external flow predictions using CFD and DSMC 利用 CFD 和 DSMC 对低密度内部和外部流动预测的精度和性能进行评估
IF 2.5 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-18 DOI: 10.1016/j.compfluid.2024.106346
Surya Kiran Peravali , Vahid Jafari , Amit K. Samanta , Jochen Küpper , Muhamed Amin , Philipp Neumann , Michael Breuer

The Direct Simulation Monte Carlo (DSMC) method was widely used to simulate low density gas flows with large Knudsen numbers. However, DSMC encounters limitations in the regime of lower Knudsen numbers (Kn<0.05). In such cases, approaches from classical computational fluid dynamics (CFD) relying on the continuum assumption are preferred, offering accurate solutions at acceptable computational costs. In experiments aimed at imaging aerosolized nanoparticles in vacuo a wide range of Knudsen numbers occur, which motivated the present study on the analysis of the advantages and drawbacks of DSMC and CFD simulations of rarefied flows in terms of accuracy and computational effort. Furthermore, the potential of hybrid methods is evaluated. For this purpose, DSMC and CFD simulations of the flow inside a convergent–divergent nozzle (internal expanding flow) and the flow around a conical body (external shock generating flow) were carried out. CFD simulations utilize the software OpenFOAM and the DSMC solution is obtained using the software SPARTA. The results of these simulation techniques are evaluated by comparing them with experimental data (1), evaluating the time-to-solution (2) and the energy consumption (3), and assessing the feasibility of hybrid CFD-DSMC approaches (4).

直接模拟蒙特卡罗(DSMC)方法被广泛用于模拟具有较大克努森数的低密度气体流。然而,DSMC 在较低的 Knudsen 数(Kn<0.05)条件下遇到了限制。在这种情况下,依靠连续体假设的经典计算流体动力学(CFD)方法更受青睐,它能以可接受的计算成本提供精确的解决方案。在旨在对真空中的气溶胶纳米粒子进行成像的实验中,出现了很大范围的克努森数,这促使本研究对稀薄流的 DSMC 和 CFD 模拟在精度和计算量方面的优缺点进行分析。此外,还对混合方法的潜力进行了评估。为此,对汇聚-发散喷嘴内部的流动(内部膨胀流)和锥体周围的流动(外部冲击产生流)进行了 DSMC 和 CFD 模拟。CFD 模拟使用 OpenFOAM 软件,DSMC 仿真使用 SPARTA 软件。通过与实验数据比较(1)、评估求解时间(2)和能耗(3)以及评估 CFD-DSMC 混合方法的可行性(4),对这些模拟技术的结果进行了评估。
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引用次数: 0
A face-centred finite volume method for laminar and turbulent incompressible flows 层流和不可压缩湍流的面心有限体积法
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2024-06-15 DOI: 10.1016/j.compfluid.2024.106339
Luan M. Vieira , Matteo Giacomini , Ruben Sevilla , Antonio Huerta

This work develops, for the first time, a face-centred finite volume (FCFV) solver for the simulation of laminar and turbulent viscous incompressible flows. The formulation relies on the Reynolds-averaged Navier–Stokes (RANS) equations coupled with the negative Spalart–Allmaras (SA) model and three novel convective stabilisations, inspired by Riemann solvers, are derived and compared numerically. The resulting method achieves first-order convergence of the velocity, the velocity-gradient tensor and the pressure. FCFV accurately predicts engineering quantities of interest, such as drag and lift, on unstructured meshes and, by avoiding gradient reconstruction, the method is less sensitive to mesh quality than other FV methods, even in the presence of highly distorted and stretched cells. A monolithic and a staggered solution strategies for the RANS-SA system are derived and compared numerically. Numerical benchmarks, involving laminar and turbulent, steady and transient cases are used to assess the performance, accuracy and robustness of the proposed FCFV method.

这项研究首次开发了用于模拟层流和湍流粘性不可压缩流的面心有限体积(FCFV)求解器。该方法依赖于雷诺平均纳维-斯托克斯(RANS)方程和负斯帕拉特-阿勒马拉斯(SA)模型,受黎曼求解器的启发,衍生出三种新型对流稳定方法,并进行了数值比较。由此产生的方法实现了速度、速度梯度张量和压力的一阶收敛。通过避免梯度重构,该方法对网格质量的敏感性低于其他 FV 方法,即使在单元高度扭曲和拉伸的情况下也是如此。推导出了 RANS-SA 系统的整体和交错求解策略,并进行了数值比较。利用涉及层流和湍流、稳定和瞬态情况的数值基准来评估所提出的 FCFV 方法的性能、准确性和鲁棒性。
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引用次数: 0
Dynamic behavior of floating ferrofluid droplet through an orifice with a magnetic field 浮动铁流体液滴在磁场作用下通过孔口的动力学行为
IF 2.5 3区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-15 DOI: 10.1016/j.compfluid.2024.106341
Zhou Jinxiang , Liming Yang , Yaping Wang , Xiaodong Niu , Jie Wu , Linchang Han , Adnan Khan

In this study, we utilize the simplified lattice Boltzmann method (SLBM) to investigate numerically the motion of buoyancy-driven deformable ferrofluid droplets through the orifice of varying widths and depths in two-dimensional (2D) space. Positioned directly beneath a plate with a central hole, the magnetic fluid droplets undergo acceleration to meet the plate under the influence of buoyancy and magnetic forces. We investigate the impact of magnetic field strength (Bom), pore ratio (PR), plate thickness ratio (WR), droplet viscosity (Re), and the plate's wettability (contact angle) on the dynamic behavior of ferrofluid droplets ascending through the orifice. Our results reveal significant effects on the efficiency and morphology of ferrofluid droplets passing through the hole. The introduction of a magnetic field facilitates a larger volume of liquid droplets passing through the hole at PR = 0.25. Moreover, increasing magnetic field intensity leads to the generation of secondary droplets during passage through the orifice. In practical applications, to prevent the generation of secondary droplets, we recommend Bom < 3 when the pore ratio falls within 0.35 < PR < 0.45 and plate thickness ratio WR = 1. Additionally, with increasing obstacle thickness, ferrofluid droplets on the hydrophobic wall can pass through the orifice more easily. Furthermore, when the magnetic field strength exceeds a certain threshold (Bom = 6.08), the droplets can pass through the orifice regardless of the wall's hydrophilicity or hydrophobicity. For practical applications with the pore ratio PR = 0.25 and plate thickness ratio WR > 1, we suggest Bom > 3.

在本研究中,我们利用简化晶格玻尔兹曼方法(SLBM)对浮力驱动的可变形铁流体液滴通过二维(2D)空间中不同宽度和深度的孔口的运动进行了数值研究。磁性流体液滴位于带中心孔的板的正下方,在浮力和磁力的影响下,磁性流体液滴经过加速后与板相接。我们研究了磁场强度 (Bom)、孔隙比 (PR)、板厚比 (WR)、液滴粘度 (Re) 和板的润湿性(接触角)对铁流体液滴通过孔口上升的动态行为的影响。我们的研究结果表明,铁流体液滴通过孔口的效率和形态会受到很大影响。在 PR = 0.25 时,磁场的引入有利于更大体积的液滴通过孔口。此外,磁场强度的增加会导致通过孔口时产生二次液滴。在实际应用中,为了防止二次液滴的产生,我们建议在孔隙比在 0.35 < PR < 0.45 范围内且板厚比 WR = 1 时使用 Bom < 3。此外,随着障碍物厚度的增加,疏水壁上的铁流体液滴更容易通过孔口。此外,当磁场强度超过一定临界值(Bom = 6.08)时,无论壁的亲水性或疏水性如何,液滴都能通过孔口。在孔隙比 PR = 0.25 和板厚比 WR > 1 的实际应用中,我们建议使用 Bom > 3。
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引用次数: 0
An explicit primitive conservative solver for the Euler equations with arbitrary equation of state 具有任意状态方程的欧拉方程的显式原始保守求解器
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2024-06-14 DOI: 10.1016/j.compfluid.2024.106340
Giuseppe Sirianni , Alberto Guardone , Barbara Re , Rémi Abgrall

This work presents a procedure to solve the Euler equations by explicitly updating, in a conservative manner, a generic thermodynamic variable such as temperature, pressure or entropy instead of the total energy. The presented procedure is valid for any equation of state and spatial discretization. When using complex equations of state such as Span–Wagner, choosing the temperature as the generic thermodynamic variable yields great reductions in the computational costs associated to thermodynamic evaluations. Results computed with a state of the art thermodynamic model are presented, and computational times are analyzed. Particular attention is dedicated to the conservation of total energy, the propagation speed of shock waves and jump conditions. The procedure is thoroughly tested using the Span–Wagner equation of state through the CoolProp thermodynamic library and the Van der Waals equation of state, both in the ideal and non-ideal compressible fluid-dynamics regimes, by comparing it to the standard total energy update and analytical solutions where available.

本研究提出了一种求解欧拉方程的方法,即以保守的方式明确更新通用热力学变量,如温度、压力或熵,而不是总能量。该程序适用于任何状态方程和空间离散化。在使用复杂的状态方程(如斯潘-瓦格纳方程)时,选择温度作为通用热力学变量可大大降低与热力学评估相关的计算成本。本文介绍了采用最先进的热力学模型计算得出的结果,并对计算时间进行了分析。特别关注了总能量守恒、冲击波传播速度和跃迁条件。该程序通过 CoolProp 热力学库使用斯潘-瓦格纳状态方程和范德瓦耳斯状态方程,在理想和非理想的可压缩流体力学状态下进行了全面测试,并与标准总能量更新和现有的分析解决方案进行了比较。
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引用次数: 0
Hydrodynamic behavior and routing problem of an undulated biomimetic beam in flow environments 流动环境中波状生物仿生梁的流体力学行为和路由问题
IF 2.8 3区 工程技术 Q1 Engineering Pub Date : 2024-06-10 DOI: 10.1016/j.compfluid.2024.106338
Lei Zhang , Yang Miao , Jun Jiao , Shaoxiong Feng , Yiwen Wang

Undulated biomimetic propulsion has gained an extensive attention with upsurge of bionic applications. However, its performance in different flow environments is rarely discussed. In this paper, hydrodynamic behavior of an undulated beam in flow environments is studied, as well as its routing problem. The previously proposed loosely coupled partitioned algorithm is adopted. Motion of an undulated beam in still water is simulated to validate this algorithm. And then, hydrodynamic behavior of beam in flow environments with different directions and velocities is studied. It is found that velocity of beam is linearly affected by longitudinal flow and symmetric vortex structure still keeps. While transverse flow leads to the unequal amplitudes of velocity valley and crest, and symmetric vortex structure is lost. The influence of oblique flow could be regard as the combination of longitudinal and transverse flow components. Flow details are analyzed to reveal the mechanism of those hydrodynamic changes. Transverse flow component plays an important role. It significantly changes the pressure difference around beam and promotes the mixture of vortex. Besides, performance of beam in different flows and routing problem indicate that the straight path between the beginning and ending points is not always the best choice.

随着仿生学应用的激增,不规则的仿生推进技术受到了广泛关注。然而,人们很少讨论它在不同流动环境中的性能。本文研究了波状梁在流动环境中的流体力学行为及其路由问题。本文采用了之前提出的松耦合分区算法。通过模拟静水中起伏梁的运动来验证该算法。然后,研究了横梁在不同方向和速度的流动环境中的水动力行为。研究发现,横梁的速度受纵向流的影响呈线性,且仍保持对称的涡旋结构。而横向流动会导致速度谷和速度峰的振幅不等,对称涡旋结构消失。斜流的影响可视为纵向流和横向流成分的组合。对流动细节的分析揭示了这些水动力变化的机理。横向流动成分起着重要作用。它极大地改变了横梁周围的压力差,并促进了涡流的混合。此外,横梁在不同流动和路由问题中的表现表明,起点和终点之间的直线路径并不总是最佳选择。
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引用次数: 0
A comparative study of Newtonian and non-Newtonian blood flow through Bi-Leaflet Mechanical Heart Valve 牛顿和非牛顿血流通过双叶机械心脏瓣膜的比较研究
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2024-06-10 DOI: 10.1016/j.compfluid.2024.106337
Nandan Sarkar , Siddharth D. Sharma , Suman Chakraborty , Somnath Roy

The present study examines flow through Bi-Leaflet Mechanical Heart Valves (BMHV) at physiological conditions considering both Newtonian and non-Newtonian fluid models for blood rheology. It is well known that the non-Newtonian effects of blood are pronounced in small diameter arteries. Most of the earlier works on Mechanical Heart Valves (MHV) have considered blood as a Newtonian fluid as the flow involves large-diameter artery such as the aorta. In this work, we have reported the predicted parameters, such as leaflet kinematics, vortex structures, wall shear stress, and blood damage index for both blood models. It is found that the leaflet attributes smaller asynchronous motion in the case of non-Newtonian Carreau fluid model with slightly reduced angular velocity compared to the Newtonian assumption. Predictions on the blood damage index suggest a 21% higher damage while using non-Newtonian model than Newtonian model, which may be attributed to higher levels of mechanical stress within the fluid. However, vortex structures, time-averaged wall shear stress (TAWSS), and oscillatory shear index (OSI) are found to be similar in predictions using both the fluid models. We have used an in-house sharp interface immersed boundary method with fluid–structure interaction to simulate the coupled action of moving valves and pulsatile blood flow. Our findings suggest that the general consensus of using Newtonian model in large arteries may not be appropriate for prediction of leaflet kinematics and blood damage index in Mechanical heart valves.

考虑到血液流变学的牛顿和非牛顿流体模型,本研究对生理条件下流经双叶机械心脏瓣膜(BMHV)的流量进行了研究。众所周知,血液的非牛顿效应在小直径动脉中非常明显。机械心脏瓣膜(MHV)的早期研究大多将血液视为牛顿流体,因为血液流动涉及大直径动脉(如主动脉)。在这项工作中,我们报告了两种血液模型的预测参数,如瓣叶运动学、涡流结构、壁面剪应力和血液损伤指数。研究发现,与牛顿假设相比,在非牛顿卡勒流体模型中,小叶的异步运动较小,角速度略有降低。对血液损伤指数的预测表明,使用非牛顿模型比牛顿模型的损伤指数高 21%,这可能是由于流体内的机械应力水平较高。不过,在使用这两种流体模型进行预测时,我们发现涡流结构、时间平均壁面剪切应力(TAWSS)和振荡剪切指数(OSI)都很相似。我们使用了一种具有流体-结构相互作用的内部尖锐界面沉浸边界法来模拟运动瓣膜和脉动血流的耦合作用。我们的研究结果表明,在大动脉中使用牛顿模型的普遍共识可能并不适合机械心脏瓣膜的瓣叶运动学和血液损伤指数预测。
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引用次数: 0
Flow over traveling and rotating cylinders using a hybrid Eulerian–Lagrangian solver 使用欧拉-拉格朗日混合求解器求解行进和旋转圆柱体上的流体
IF 2.8 3区 工程技术 Q1 Engineering Pub Date : 2024-06-08 DOI: 10.1016/j.compfluid.2024.106327
R. Pasolari, J. Pan, C.J. Ferreira, A. van Zuijlen

Hybrid Eulerian–Lagrangian solvers have gained increasing attention in the field of external aerodynamics, particularly when dealing with strong body–vortex interactions. This approach effectively combines the strengths of the Eulerian component, which accurately resolves boundary layer phenomena, and the Lagrangian component, which efficiently evolves the wake downstream. This study builds on our team’s previous work by enhancing the capabilities of a two-dimensional hybrid Eulerian–Lagrangian solver. We aim to upgrade our solver which was initially designed for static cases, to now also simulate cases involving moving objects. To ensure the reliability and applicability of a new solver, it is essential to validate its performance in complex cases. Here, the solver is validated across the case of a traveling cylinder and the case of a rotating cylinder in two different rotational speeds at low Reynolds numbers. In the realm of Eulerian solvers, such as OpenFOAM (utilized for the Eulerian component of this hybrid approach), traditional techniques include the use of morphing meshes, overset meshes, and Arbitrary Mesh Interfaces (AMI) to model body motion. The proposed methodology involves extending the Eulerian mesh up to a short distance from the solid boundary and moving it entirely as a solid entity. Then the Lagrangian solver is responsible for calculating the updated boundary conditions, thereby completing the hybrid solver’s functionality. This approach is very similar to the overset mesh technique. However, unlike the traditional method where an Eulerian mesh moves on top of a static one, our method involves the motion of an Eulerian mesh over a Lagrangian grid. We compared the results from our hybrid solver with those from a purely Eulerian solver, specifically OpenFOAM. The comparison demonstrates that our solver can replicate OpenFOAM’s results with high accuracy. Another interesting point highlighted in this study is the presence of high-frequency oscillations in the body forces in hybrid solvers that incorporate the redistribution of Lagrangian particles and do not utilize surface elements such as vortex panels, specifically when dealing with dynamic mesh simulations. When the Eulerian mesh travels on top of the Lagrangian grid of particles, the positions of the particles with respect to the Eulerian mesh continuously change. This results in a constant shift of particles near the solid body, where the highest vorticity is observed. Particles that are close to the solid boundary at one time step may find themselves inside the boundary at the next time step, leading to their removal. This pattern continuously changes during the simulation, causing fluctuations in the boundary conditions of the Eulerian solver and manifesting as oscillations in the forces acting on the body. It is shown that this issue can be alleviated either by increasing the spatial resolution of the Lagrangian solver or by synchronizing the movement of the Lag

欧拉-拉格朗日混合求解器在外部空气动力学领域受到越来越多的关注,特别是在处理强烈的体-涡相互作用时。这种方法有效地结合了欧拉部分和拉格朗日部分的优势,前者能准确地解决边界层现象,后者能有效地演化下游的尾流。本研究以我们团队之前的工作为基础,增强了二维混合欧拉-拉格朗日求解器的功能。我们的目标是将最初针对静态情况设计的求解器升级到现在也能模拟涉及运动物体的情况。为了确保新求解器的可靠性和适用性,必须验证其在复杂情况下的性能。在这里,求解器在低雷诺数下的两种不同转速下的移动圆柱体和旋转圆柱体的情况下进行了验证。在欧拉求解器领域,例如 OpenFOAM(用于本混合方法的欧拉部分),传统技术包括使用变形网格、超集网格和任意网格接口(AMI)来模拟物体运动。建议的方法包括将欧拉网格扩展到离实体边界不远的地方,并将其完全作为实体移动。然后,拉格朗日求解器负责计算更新的边界条件,从而完成混合求解器的功能。这种方法与超集网格技术非常相似。不过,与在静态网格上移动欧拉网格的传统方法不同,我们的方法是在拉格朗日网格上移动欧拉网格。我们将混合求解器的结果与纯欧拉求解器(特别是 OpenFOAM)的结果进行了比较。比较结果表明,我们的求解器可以高精度复制 OpenFOAM 的结果。本研究中突出强调的另一个有趣的问题是,在混合求解器中,特别是在处理动态网格模拟时,包含拉格朗日粒子再分布且不使用涡流面板等表面元素的体力会出现高频振荡。当欧拉网格在拉格朗日粒子网格上移动时,粒子相对于欧拉网格的位置会不断变化。这导致粒子在固体体附近不断移动,而在固体体附近观察到的涡度最大。在某一时间步靠近固体边界的粒子可能在下一时间步发现自己位于边界内,从而被移除。这种模式在模拟过程中不断变化,导致欧拉求解器的边界条件波动,并表现为作用在物体上的力的振荡。研究表明,可以通过提高拉格朗日求解器的空间分辨率或使拉格朗日网格的运动与欧拉网格的运动同步来缓解这一问题。研究结果使求解器值得信赖,并为要求更高的外部空气动力学模拟铺平了道路。
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