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Mass transfer analyses of reactive boundary schemes for lattice Boltzmann method with staircase approximation 采用阶梯近似的晶格玻尔兹曼法反应边界方案的传质分析
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-03-15 DOI: 10.1186/s42774-023-00166-w
Zi-Xiang Tong, Ming-Jia Li, Yanxia Du, Xianxu Yuan
Lattice Boltzmann (LB) methods with reactive boundary conditions are widely used in pore-scale simulations of dissolution and ablation processes. The staircase approximation of curved boundary is often employed because of its simplicity in handling solid structure changes. In this work, the mass transfer of two typical LB reactive boundary schemes are analyzed for the staircase boundary. The Type I boundary scheme is based on relations of local distribution functions and a wet-node boundary mesh. The Type II boundary scheme adopts the half-way bounce-back scheme. Boundary concentrations are determined by finite difference, and a link-wise boundary mesh is used. The analyses demonstrate that for straight boundaries, both the boundary schemes have accurate mass transfer rates, which means the mass transfer calculated by exchanges of distribution functions is the same as that calculated by reaction rates. For curved boundaries with staircase approximation, including interfacial normal directions in the Type I boundary scheme can provide accurate mass transfer for inclined straight boundaries. However, if the staircase boundary geometry is used directly without normal directions, the reaction rate will be overestimated. One-dimensional and two-dimensional reaction-diffusion processes with dissolution are simulated to validate the analyses. Both the boundary schemes work well for one-dimensional simulations. For two-dimensional simulations, the Type II boundary scheme significantly overestimates the reaction rate, and stronger artificial anisotropic effects are observed. The Type I boundary scheme with normal directions has better performance, but error still exists.
具有反应边界条件的晶格玻尔兹曼(LB)方法广泛应用于溶解和烧蚀过程的孔隙尺度模拟。由于曲线边界的阶梯近似在处理固体结构变化时比较简单,因此经常被采用。本文分析了两种典型的阶梯边界 LB 反应边界方案的传质情况。I 型边界方案基于局部分布函数关系和湿节点边界网格。第二类边界方案采用半程反弹方案。边界浓度由有限差分确定,并采用链接式边界网格。分析表明,对于直线边界,两种边界方案都有精确的传质速率,即通过交换分布函数计算的传质与通过反应速率计算的传质相同。对于采用阶梯近似的弯曲边界,在 I 型边界方案中包含界面法线方向可以为倾斜的直线边界提供精确的传质。但是,如果直接使用阶梯边界几何形状而不包含法线方向,则会高估反应速率。为了验证分析结果,我们模拟了一维和二维的反应-扩散过程。在一维模拟中,两种边界方案都运行良好。对于二维模拟,第二类边界方案明显高估了反应速率,而且观察到更强的人为各向异性效应。带有法线方向的 I 型边界方案性能更好,但误差仍然存在。
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引用次数: 0
Vortex model of plane turbulent air flows in channels 通道中平面湍流气流的涡流模型
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-03-13 DOI: 10.1186/s42774-023-00171-z
Victor L. Mironov, Sergey V. Mironov
We present a theoretical model of plane turbulent flows based on the previously proposed equations, which take into account both the longitudinal motion and the vortex tube rotation. Using the simple model of eddy viscosity, we obtain the analytical expressions for the mean velocity profiles of stationary turbulent flows. In particular, we consider the near-wall flow over a flat plate in a wind tunnel as well as Couette and Poiseuille flows in rectangular channels. In all these cases, the calculated velocity profiles are in good agreement with experimental data and results of direct numerical simulations.
我们以之前提出的方程为基础,提出了平面湍流的理论模型,该模型同时考虑了纵向运动和涡管旋转。利用简单的涡粘模型,我们得到了静止湍流平均速度剖面的解析表达式。特别是,我们考虑了风洞中平板上的近壁流以及矩形通道中的库埃特流和普瓦塞耶流。在所有这些情况下,计算出的速度剖面与实验数据和直接数值模拟结果都非常吻合。
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引用次数: 0
Some effects of domain size and boundary conditions on the accuracy of airfoil simulations 域尺寸和边界条件对机翼模拟精度的一些影响
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-03-01 DOI: 10.1186/s42774-023-00163-z
Narges Golmirzaee, David H. Wood
This paper investigates a specific case of one of the most popular fluid dynamic simulations, the incompressible flow around an airfoil (NACA 0012 here) at a high Reynolds number ( $$6 times 10^6$$ ). OpenFOAM software was used to study the effect of domain size and four common choices of boundary conditions on airfoil lift, drag, surface friction, and pressure. We also examine the relation between boundary conditions and the velocity, pressure, and vorticity distributions throughout the domain. In addition to the common boundary conditions, we implement the “point vortex” boundary condition that was introduced many years ago but is now rarely used. We also applied the point vortex condition for the outlet pressure instead of using the traditional Neumann condition. With the airfoil generating significant lift at incidence angles of $$5^circ , 10^circ$$ , and $$14^circ$$ , we confirm a previous finding that the boundary conditions combine with domain size to produce an induced (pressure) drag. The change in the pressure drag with domain size is significant for the commonly-used boundary conditions but is much smaller for the point vortex alternative. The point vortex boundary condition increases the execution time, but this is more than offset by the reduction in domain size needed to achieve a specified accuracy in the lift and drag. This study also estimates the error in total drag and lift due to domain size and shows it can be almost eliminated using the point vortex boundary condition. We also used the impulse form of the momentum equations to study the relation between drag and lift and spurious vorticity, which is generated as a result of using non-exact boundary conditions. These equations reveal that the spurious vorticity throughout the domain is associated with cancelling circulation around the domain boundaries.
本文研究了最流行的流体动力学模拟之一的一个具体案例,即高雷诺数($$6 times 10^6$$)下机翼(此处为 NACA 0012)周围的不可压缩流动。我们使用 OpenFOAM 软件研究了领域大小和四种常见边界条件对机翼升力、阻力、表面摩擦力和压力的影响。我们还研究了边界条件与整个域的速度、压力和涡度分布之间的关系。除了常见的边界条件外,我们还实施了 "点涡流 "边界条件,该条件多年前就已提出,但现在已很少使用。我们还对出口压力采用了点涡流条件,而不是传统的诺依曼条件。机翼在入射角为 $$5^circ$ 、10^circ$$ 和 $$14^circ$ 时会产生很大的升力,我们证实了之前的一个发现,即边界条件与域尺寸相结合会产生诱导(压力)阻力。对于常用的边界条件来说,压力阻力随领域大小的变化是显著的,但对于点涡旋替代方案来说,这种变化要小得多。点涡流边界条件增加了执行时间,但为了达到指定的升力和阻力精度,减少了所需的域尺寸,因此抵消了增加的执行时间。本研究还估算了由于域大小造成的总阻力和升力误差,结果表明使用点涡流边界条件几乎可以消除这种误差。我们还利用动量方程的脉冲形式研究了阻力和升力与虚假涡度之间的关系,虚假涡度是由于使用非精确边界条件而产生的。这些方程显示,整个域内的虚假涡度与域边界周围的抵消环流有关。
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引用次数: 0
On the investigation of shock wave/boundary layer interaction with a high-order scheme based on lattice Boltzmann flux solver 基于晶格玻尔兹曼通量求解器的高阶方案对冲击波/边界层相互作用的研究
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-02-26 DOI: 10.1186/s42774-023-00167-9
Jian Qin, Haichuan Yu, Jie Wu
Shock wave/boundary layer interaction (SWBLI) continues to pose a significant challenge in the field of aerospace engineering. This paper aims to address this issue by proposing a novel approach for predicting aerodynamic coefficients and heat transfer in viscous supersonic and hypersonic flows using a high-order flux reconstruction technique. Currently, finite volume methods are extensively employed for the computation of skin aerodynamic coefficients and heat transfer. Nevertheless, these numerical methods exhibit considerable susceptibility to a range of factors, including the inviscid flux function and the computational mesh. The application of high-order flux reconstruction techniques offers promising potential in alleviating these challenges. In contrast to other high-order methods, the flux reconstruction is combined with the lattice Boltzmann flux solver in this study. The current method evaluates the common inviscid flux at the cell interface by locally reconstructing the lattice Boltzmann equation solution from macroscopic flow variables at solution points. Consequently, this framework performs a positivity-preserving, entropy-based adaptive filtering method for shock capturing. The present approach is validated by simulating the double Mach reflection, and then simulating some typical viscous problems. The results demonstrate that the current method accurately predicts aerodynamic coefficients and heat transfer, providing valuable insights into the application of high-order methods for shock wave/boundary layer interaction.
冲击波/边界层相互作用(SWBLI)仍然是航空航天工程领域的一项重大挑战。本文旨在解决这一问题,提出了一种利用高阶通量重构技术预测粘性超音速和高超声速流动中气动系数和传热的新方法。目前,有限体积法被广泛用于计算表皮气动系数和传热。然而,这些数值方法对包括不粘性通量函数和计算网格在内的一系列因素表现出相当大的敏感性。高阶通量重构技术的应用为缓解这些挑战提供了广阔的前景。与其他高阶方法不同,本研究将通量重构与晶格玻尔兹曼通量求解器相结合。目前的方法是通过在解点上从宏观流动变量局部重构晶格玻尔兹曼方程解来评估细胞界面上的普通无粘性通量。因此,该框架采用了基于熵的正向保留自适应滤波方法来捕捉冲击。通过模拟双马赫反射,然后模拟一些典型的粘性问题,对本方法进行了验证。结果表明,目前的方法能准确预测空气动力系数和热传递,为冲击波/边界层相互作用的高阶方法应用提供了宝贵的见解。
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引用次数: 0
Calibrating sub-grid scale models for high-order wall-modeled large eddy simulation 校准高阶壁模型大涡度模拟的子网格尺度模型
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-02-19 DOI: 10.1186/s42774-023-00169-7
Zhaowen Duan, Z. J. Wang
High-order methods have demonstrated orders of magnitude reduction in computational cost for large eddy simulation (LES) over low-order methods in the past decade. Most such simulations are wall-resolved implicit LES (ILES) without an explicit sub-grid scale (SGS) model. The use of high-order ILES for severely under-resolved LES such as wall-modeled LES (WMLES) often runs into robustness and accuracy issues due to the low dissipation embedded in these methods. In the present study, we investigate the performance of several popular SGS models, the static Smagorinsky model, the wall-adapting local eddy-viscosity (WALE) model and the Vreman model, to improve the robustness and accuracy of under-resolved LES using high-order methods. The models are implemented in the high-order unstructured grid LES solver called hpMusic based on the discontinuous flux reconstruction method. The length scales in these SGS models are calibrated using the direct numerical simulation (DNS) database for the turbulent channel flow problem. The Vreman model has been found to produce the most accurate and consistent results with a proper choice of the length scale for WMLES.
在过去十年中,高阶方法在大涡度模拟(LES)中的计算成本比低阶方法降低了几个数量级。大多数此类模拟都是壁面分辨隐式 LES(ILES),没有显式子网格尺度(SGS)模型。在壁面建模 LES(WMLES)等严重欠分辨 LES 中使用高阶 ILES 时,由于这些方法中嵌入了低耗散,经常会遇到鲁棒性和精度问题。在本研究中,我们研究了几种流行的 SGS 模型的性能,包括静态 Smagorinsky 模型、壁面适配局部涡粘度(WALE)模型和 Vreman 模型,以提高使用高阶方法的欠分辨 LES 的鲁棒性和精度。这些模型是在基于非连续通量重建方法的高阶非结构网格 LES 求解器 hpMusic 中实现的。这些 SGS 模型的长度尺度是利用直接数值模拟(DNS)数据库对湍流通道流问题进行校准的。通过对 WMLES 长度尺度的适当选择,发现 Vreman 模型产生的结果最为准确和一致。
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引用次数: 0
Study on atomization characteristics of a kerosene jet in a supersonic crossflow 超音速横流中煤油射流的雾化特性研究
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-02-18 DOI: 10.1186/s42774-023-00164-y
Yi Zhang, Jialing Le, Ye Tian
The combustion performance of a scramjet engine is based on a two-phase mixing process of its fuel. To elucidate the mechanism of jet atomization in supersonic airflows, a numerical simulation of liquid jet atomization in a supersonic crossflow is carried out. The Euler method is used to calculate the gas phase, while the Lagrangian particle tracking method is used to calculate the liquid phase. The Reitz wave model is used to simulate the first breakup of the liquid jet, and the Kelvin-Helmholtz/Rayleigh-Taylor hybrid breakup model is used to simulate the second breakup of the droplets. The influence of the liquid/gas momentum flux ratio and the diameter of the jet on the atomization characteristics is discussed. The results show that the penetration depth increases with increasing nozzle diameter and liquid/gas momentum flux ratio. A jet with a larger liquid/gas momentum flux ratio breaks faster, and its Sauter mean diameter is smaller. The Sauter mean diameter of a droplet decreases with decreasing nozzle diameter. At 30 mm downstream of the nozzle, all jets are basically atomized, and the SMD of the jet is around 10 μm. The nozzle diameter has a greater influence on the jet penetration depth than does the liquid/gas momentum flux ratio.
喷气发动机的燃烧性能基于其燃料的两相混合过程。为了阐明超音速气流中喷射雾化的机理,我们对超音速横流中的液体喷射雾化进行了数值模拟。气相采用欧拉法计算,液相采用拉格朗日粒子跟踪法计算。使用 Reitz 波模型模拟液体射流的第一次破裂,使用 Kelvin-Helmholtz/Rayleigh-Taylor 混合破裂模型模拟液滴的第二次破裂。讨论了液体/气体动量通量比和射流直径对雾化特性的影响。结果表明,穿透深度随着喷嘴直径和液体/气体动量通量比的增加而增加。液体/气体动量通量比越大的射流破裂速度越快,其萨氏平均直径也越小。液滴的萨特平均直径随着喷嘴直径的减小而减小。在喷嘴下游 30 毫米处,所有射流基本雾化,射流的萨特平均直径约为 10 微米。与液体/气体动量通量比相比,喷嘴直径对射流穿透深度的影响更大。
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引用次数: 0
Extension of a sharp-interface immersed-boundary method for simulating parachute inflation 扩展用于模拟降落伞充气的锐面沉浸边界法
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-02-04 DOI: 10.1186/s42774-023-00162-0
Yang Zhang, Tianmei Pu, He Jia, Shiqing Wu, Chunhua Zhou
In this work, the sharp-interface immersed boundary (IB) method proposed by Mittal et al. (J Comput Phys 227(10):4825–4852, 2008) is extended to fluid-structure-interaction (FSI) simulation of parachute inflation by utilizing several open-source tools. The method employs a Cartesian-grid ghost-cell methodology to accurately represent the immersed boundary, and it is suitable for solving moving-boundary flows with arbitrarily complex geometries. The finite-element code CalculiX is employed to solve the structural dynamics of the parachute system. The IB flow solver is coupled with CalculiX in a minimally-invasive manner using the multi-physics coupling library preCICE. The implicit fluid-structure coupling together with the Aitken adaptive under-relaxation scheme is considered to improve the numerical accuracy and stability. The developed approach is validated by a benchmark FSI case. Numerical experiments on the inflation process of several typical parachutes are further conducted. The breathing process, flow structure, canopy displacement and drag coefficient are analyzed to demonstrate the applicability of the present approach for simulating parachute inflation.
在这项工作中,利用几个开源工具,将米塔尔等人(J Comput Phys 227(10):4825-4852, 2008)提出的尖锐界面沉浸边界(IB)方法扩展到降落伞充气的流固耦合(FSI)模拟。该方法采用笛卡尔网格幽灵单元方法精确表示浸没边界,适用于求解任意复杂几何形状的移动边界流。有限元代码 CalculiX 用于求解降落伞系统的结构动力学。利用多物理场耦合库 preCICE,以最小侵入方式将 IB 流量求解器与 CalculiX 进行耦合。隐式流体-结构耦合与 Aitken 自适应欠松弛方案相结合,提高了数值精度和稳定性。一个基准 FSI 案例验证了所开发的方法。此外,还对几个典型降落伞的充气过程进行了数值实验。分析了呼吸过程、流动结构、伞篷位移和阻力系数,以证明本方法适用于模拟降落伞充气。
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引用次数: 0
WCNS schemes and some recent developments WCNS 计划和最近的一些发展
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-01-25 DOI: 10.1186/s42774-023-00165-x
Yaming Chen, Xiaogang Deng
Weighted compact nonlinear schemes (WCNS) are a family of nonlinear shock capturing schemes that are suitable for solving problems with discontinuous solutions. The schemes are based on grids staggered by flux points and solution points, resulting in algorithms with the nonlinear interpolation step independent of the difference step. Thus, only linear difference operators are needed, such that geometric conservation law can be preserved easily, resulting in the preservation of freestream condition. In recent years, these schemes have attracted a lot of attention in the community of computational fluid dynamics. This paper intends to give a brief review of the basic algorithms of these schemes and present some related recent developments.
加权紧凑非线性方案(WCNS)是一系列非线性冲击捕捉方案,适用于解决解不连续的问题。这些方案基于通量点和求解点交错的网格,使得算法的非线性插值步骤与差分步骤无关。因此,只需要线性差分算子,就可以轻松地保留几何守恒定律,从而保留自由流条件。近年来,这些方案在计算流体动力学界引起了广泛关注。本文旨在简要回顾这些方案的基本算法,并介绍一些相关的最新进展。
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引用次数: 0
Analysis of wind pressure characteristics of typical agricultural greenhouse buildings on tropical islands 热带岛屿典型农业温室建筑的风压特性分析
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-01-08 DOI: 10.1186/s42774-023-00170-0
Bin Huang, Jinke Liu, Zhengnong Li, Wenxiang Wang, Xiangjun Wang, Xijie Liu, Tianyin Xiao
Existing studies about wind pressure on agricultural greenhouse buildings concentrate on the mean wind pressure while ignoring the systematic research on fluctuating wind pressure characteristics and the influence of roof shape on the wind pressure characteristics, which are closely associated with the wind-induced damage mechanism. In this study, two typical agricultural greenhouse buildings on tropical islands are selected as prototypes to conduct pressure measurement experiments in the wind tunnel. Based on the wind pressure time series for the two greenhouses, the mean and fluctuating wind pressure distribution pattern and the localized high-pressure generation mechanism are analyzed. Then, the shape coefficient of the two greenhouses is compared in depth to the standards from four countries. Besides, wind pressure non-Gaussian determination criteria for agricultural greenhouse buildings considering the roof shape and wind directions are proposed. Lastly, the differences in wind pressure spectra on the roofs and walls of the two greenhouses are summarized. The results indicate the roof shape has a significant influence on the wind pressure characteristics. Compared with the pitched roof, the vaulted roof will increase the suction effect on the windward front zone and the middle area, mitigate the suction impact on the leeward roof, and weaken the wind pressure non-Gaussian characteristics. The experimental shape coefficient of the pitched-roof greenhouse is basically consistent with the standard from the U.S., while that of the vaulted-roof greenhouse has some deviation from the existing standards. The results provide a theoretical basis for the wind-resistant design of agricultural greenhouse buildings on tropical islands.
现有关于农业温室建筑风压的研究主要集中在平均风压方面,而忽视了与风致破坏机理密切相关的波动风压特性和屋顶形状对风压特性影响的系统研究。本研究选取了热带岛屿上两座典型的农业温室建筑作为原型,在风洞中进行压力测量实验。根据两个温室的风压时间序列,分析了平均风压和波动风压分布模式以及局部高压产生机制。然后,将两个温室的形状系数与四个国家的标准进行了深入比较。此外,还提出了考虑屋顶形状和风向的农业温室建筑风压非高斯判定标准。最后,总结了两个温室屋顶和墙壁上风压谱的差异。结果表明,屋顶形状对风压特征有显著影响。与坡屋顶相比,拱形屋顶会增加迎风前区和中间区域的吸力效应,减轻对背风屋顶的吸力影响,削弱风压的非高斯特性。试验结果表明,坡屋顶温室的形状系数与美国标准基本一致,而拱形屋顶温室的形状系数与现行标准有一定偏差。这些结果为热带岛屿农业温室建筑的抗风设计提供了理论依据。
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引用次数: 0
Experimental design for a novel co-flow jet airfoil 新型共流射流翼型的实验设计
IF 2.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-12-01 DOI: 10.1186/s42774-023-00161-1
Hao Jiang, Weigang Yao, Min Xu
The Co-flow Jet (CFJ) technology holds significant promise for enhancing aerodynamic efficiency and furthering decarbonization in the evolving landscape of air transportation. The aim of this study is to empirically validate an optimized CFJ airfoil through low-speed wind tunnel experiments. The CFJ airfoil is structured in a tri-sectional design, consisting of one experimental segment and two stationary segments. A support rod penetrates the airfoil, fulfilling dual roles: it not only maintains the structural integrity of the overall model but also enables the direct measurement of aerodynamic forces on the test section of the CFJ airfoil within a two-dimensional wind tunnel. In parallel, the stationary segments are designed to effectively minimize the interference from the lateral tunnel walls. The experimental results are compared with numerical simulations, specifically focusing on aerodynamic parameters and flow field distribution. The findings reveal that the experimental framework employed is highly effective in characterizing the aerodynamic behavior of the CFJ airfoil, showing strong agreement with the simulation data.
在不断发展的航空运输领域,共流射流(CFJ)技术在提高气动效率和进一步脱碳方面具有重要的前景。本研究的目的是通过低速风洞实验对优化后的CFJ翼型进行实证验证。CFJ翼型结构为三截面设计,由一个实验段和两个固定段组成。支撑杆穿透翼型,实现双重作用:它不仅保持整体模型的结构完整性,而且能够在二维风洞内直接测量CFJ翼型测试部分的气动力。同时,固定段的设计有效地减少了来自侧隧道壁的干扰。将实验结果与数值模拟结果进行了比较,重点研究了气动参数和流场分布。研究结果表明,所采用的实验框架在表征CFJ翼型的气动特性方面是非常有效的,与仿真数据具有很强的一致性。
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引用次数: 0
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Advances in Aerodynamics
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