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Compressor cascade correlations modelling at design points using artificial neural networks 利用人工神经网络在设计点建立压缩机级联相关性模型
Q4 Chemical Engineering Pub Date : 2023-12-01 DOI: 10.24132/acm.2023.828
Patrik Kovář, Jiří Fürst
In recent years, the flow analysis by means of computational fluid dynamics (CFD) has become a useful design and optimization tool. Unfortunately, despite advances in the computational power, numerical simulations are still very time consuming. Thus, empirical correlation models keep their importance as a tool for early stages of axial compressor design and for prediction of basic performance parameters. These correlations were developed based on experimental data obtained from 2D measurements performed on cases of classical airfoils such as the NACA 65-series or C.4 profiles. There is insufficient amount of experimental data for other families of airfoils, but CFD simulations can be used instead and their results correlated using artificial neural networks (ANN), as described in this work. Unlike the classical deep learning approach using perceptrons, this work presents neural networks employing higher order neural units.
近年来,通过计算流体动力学(CFD)进行流动分析已成为一种有用的设计和优化工具。遗憾的是,尽管计算能力不断进步,但数值模拟仍然非常耗时。因此,经验相关模型作为轴流压缩机早期设计和基本性能参数预测的工具,仍然具有重要意义。这些相关模型是根据对经典翼面(如 NACA 65 系列或 C.4 剖面)进行二维测量所获得的实验数据开发的。其他机翼系列的实验数据量不足,但可以使用 CFD 模拟来代替,并使用人工神经网络(ANN)将其结果关联起来,如本作品所述。与使用感知器的经典深度学习方法不同,这项工作提出了采用高阶神经单元的神经网络。
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引用次数: 0
Mesh convergence error estimations for compressible inviscid fluid flow over airfoil cascades using multiblock structured mesh 用多块结构网格估计翼型叶栅可压缩无粘流体流动的网格收敛误差
Q4 Chemical Engineering Pub Date : 2023-01-01 DOI: 10.24132/acm.2023.827
Adam Tater, J. Holman
This work deals with estimations of errors, which are a consequence of a finite spatial discretisation that appears while solving differential equation numerically. More precisely, it deals with the estimation of errors that occur while computing compressible inviscid fluid flow over 2D airfoil cascades. This flow is described by the 2D Euler equations that are solved by the finite volume method in their conservative form. Numerical computations are performed on structured meshes consisting of four blocks, so the number of cells in the mesh can be easily adjusted. In this work, two estimation methods are used. Firstly, the grid convergence index is used to estimate the amount of cells needed to obtain certain accuracy of the solution. Secondly, the Richardson extrapolation is used to approximate the exact solution from a series of solutions obtained with meshes of different sizes. This analysis is performed on a well-known compressor cascade, which is composed of NACA 65 series airfoils. The obtained results should lead to a reasonable choice of the number of elements in a computational mesh based on the required accuracy of the solution and therefore also to computational time reduction while performing airfoil cascade computations. The results indicate that even for very precision demanding applications, 100 000 is a sufficient number of cells in a mesh.
这项工作涉及误差的估计,这是在求解微分方程时出现的有限空间离散化的结果。更准确地说,它处理的误差估计,而发生的计算可压缩的无粘流体流动在二维翼型叶栅。这种流动用二维欧拉方程来描述,用有限体积法以其保守形式求解。在由四个块组成的结构化网格上进行数值计算,因此网格中的单元数可以很容易地调整。在这项工作中,使用了两种估计方法。首先,利用网格收敛指数估计获得一定精度解所需的单元数;其次,利用Richardson外推法从不同尺寸网格的一系列解中逼近精确解。该分析是在一个著名的压气机叶栅上进行的,该叶栅由NACA 65系列翼型组成。所获得的结果应导致一个合理的选择在一个计算网格的元素的数量基于所需的精度的解决方案,因此也计算时间减少,同时执行翼型级联计算。结果表明,即使对于精度要求很高的应用,100,000个网格中的单元数量也足够了。
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引用次数: 0
Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels 考虑横向法向应变和双参数弹性基础影响的层合板弯曲高阶计算模型
Q4 Chemical Engineering Pub Date : 2023-01-01 DOI: 10.24132/acm.2023.808
A. S. Sayyad, Shailesh Palekar, B. M. Shinde
In this study, the authors analyze laminated composite panels supported on an elastic foundation considering the effects of transverse normal strain. A 2-parameter, i.e., Winkler and Pasternak foundation model is assumed to represent the interaction between the panels and the foundation. The theory presented here takes into account the effects of transverse shear and normal strains. The theory plots realistic distributions of the transverse shear stress through the plate thickness and satisfies the shear-free conditions at the extreme surfaces of the panel. The differential equations of the present model are obtained from the principle of virtual work. The laminated composite panel resting on the elastic foundation is analyzed for simply supported boundary conditions. For the verification purpose, the presented problems are also solved using the Reddy's model, Mindlin's model, and the classical model. Good agreement is observed between the numerical results obtained using the present model and the other models.
本文对考虑横向法向应变影响的弹性地基叠合板进行了分析。假设采用2参数即Winkler和Pasternak基础模型来表示面板与基础之间的相互作用。这里提出的理论考虑了横向剪切和正常应变的影响。该理论绘制了横向剪应力随板厚的真实分布,并满足板的极端表面无剪切条件。该模型的微分方程是根据虚功原理得到的。在简支边界条件下,对弹性基础上的复合材料层合板进行了分析。为了验证,本文还分别用Reddy模型、Mindlin模型和经典模型对所提出的问题进行了求解。用本模型得到的数值结果与其他模型吻合较好。
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引用次数: 0
Geometry effect of irrigation storage basin on particles removal efficiency: A computational fluid dynamics study 灌溉蓄水池对颗粒去除效率的几何效应:计算流体动力学研究
Q4 Chemical Engineering Pub Date : 2023-01-01 DOI: 10.24132/acm.2023.800
F. Bouisfi, Achraf Bouisfi, M. El Bouhali, Hamza Oarriche, Khalid Lamzoud, Mohamed Chaoul
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引用次数: 0
Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability 变渗透率对流Brinkman-Forchheimer流的数值近似
Q4 Chemical Engineering Pub Date : 2023-01-01 DOI: 10.24132/acm.2023.767
C. Nwaigwe, J. Oahimire, A. Weli
This paper investigates the nonlinear dispersion of a pollutant in a non-isothermal incompressible flow of a temperature-dependent viscosity fluid in a rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and the fluid is assumed to be variably permeable through the porous channel. External pollutant injection, heat sources and nonlinear radiative heat flux of the Rossland approximation are accounted for. The nonlinear system of partial differential equations governing the velocity, temperature and pollutant concentration is presented in non-dimensional form. A convergent numerical algorithm is formulated using an upwind scheme for the convective part and a conservative-type central scheme for the diffusion parts. The convergence of the scheme is discussed and verified by numerical experiments both in the presence and absence of suction. The scheme is then used to investigate the flow and transport in the channel. The results show that the velocity decreases with increasing suction and Forchheimer parameters, but it increases with increasing porosity.
本文研究了在多孔材料填充的矩形通道中,随温度变化的黏性流体在非等温不可压缩流动中污染物的非线性扩散。Brinkman-Forch-heimer效应被纳入其中,并且假定流体通过多孔通道的渗透性是可变的。考虑了外部污染物注入、热源和rosland近似的非线性辐射热通量。以无量纲形式给出了控制速度、温度和污染物浓度的非线性偏微分方程组。对对流部分采用逆风格式,对扩散部分采用保守型中心格式,给出了收敛的数值算法。讨论了该方案的收敛性,并通过数值实验验证了该方案在有吸力和无吸力情况下的收敛性。然后使用该方案来研究通道中的流动和运输。结果表明,随着吸力和Forchheimer参数的增大,速度减小,而随着孔隙度的增大,速度增大。
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引用次数: 0
Numerical simulations of aeroelastic instabilities in a turbine-blade cascade by a modified Van der Pol model at running excitation 用改进的Van der Pol模型模拟涡轮叶片叶栅在运行激励下的气动弹性不稳定性
Q4 Chemical Engineering Pub Date : 2023-01-01 DOI: 10.24132/acm.2023.792
Lukáš Pešek, P. Šnábl, C. Prasad, Y. Delanney
The onset and spread of flutter in a turbine blade cascade are numerically studied. Due to the application of the reduced-cascade model consisting of simple elements (springs, rigid bodies, linear dampers) and aeroelastic forces introduced by the analytical Van der Pol model, it is useful to study the dangerous states of vibration of such complicated turbine parts. This study examines aeroelastic instabilities of a 10-blade cascade at running excitation that arise due to wakes flowing from the stator blades to the rotating blades. Unlike our previous work, it brings a new definition of the Van der Pol model of self-excitation that is controlled by relative inter-blade motion of neighbouring blades.
对涡轮叶片叶栅颤振的发生和扩散进行了数值研究。由于采用了由简单元件(弹簧、刚体、线性阻尼器)和解析范德波模型引入的气动弹性力组成的简化叶栅模型,有助于研究这类复杂涡轮部件的振动危险状态。本文研究了10叶片叶栅在运行激励下的气动弹性不稳定性,这种不稳定性是由静叶到动叶的尾迹流动引起的。与我们之前的工作不同,它带来了由邻近叶片的相对叶片间运动控制的自激Van der Pol模型的新定义。
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引用次数: 0
Updated Lagrangian Taylor-SPH method for elastic dynamic problems 弹性动力问题的更新Lagrangian Taylor-SPH方法
Q4 Chemical Engineering Pub Date : 2022-01-01 DOI: 10.24132/acm.2021.697
H. K. Serroukh, M. Mabssout
This paper presents a discussion on the properties of the collocation meshfree method, the Updated Lagrangian Taylor-SPH (UL-TSPH), for dynamic problems in solid mechanics. The PDEs are written in mixed form in terms of stress and velocity for the elastodynamics problems. Two sets of particles are used to discretize the partial differential equations, resulting on avoiding the tensile instability inherent to classical SPH formulations. Numerical examples ranging from propagation of a shock wave in an elastic bar to a stationary Mode-I semi-Infinite cracked plate subjected to uniaxial tension are used to assess the performance of the proposed method.
本文讨论了求解固体力学动力学问题的配置无网格法——更新拉格朗日泰勒- sph法(UL-TSPH)的性质。对于弹性动力学问题,偏微分方程以应力和速度的混合形式表示。采用两组粒子来离散偏微分方程,避免了经典SPH公式固有的拉伸不稳定性。数值例子包括激波在弹性杆中的传播和受单轴拉伸的静止i型半无限裂纹板的数值例子,以评估所提出方法的性能。
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引用次数: 1
Curvilinear element of the discontinuous Galerkin method designed to capture the labyrinth seal geometry exactly 曲线元的不连续伽辽金法设计,能准确捕捉迷宫密封的几何形状
Q4 Chemical Engineering Pub Date : 2022-01-01 DOI: 10.24132/acm.2022.732
O. Bublík, A. Pecka, J. Vimmr
The present study applies the discontinuous Galerkin finite element method to a numerical simulation of a compressible fluid flow through a labyrinth seal. This paper is proposes a curvilinear hexahedral element, which is deformed in such a way that it matches the rotated walls of the labyrinth seal exactly. A numerical study is performed on the staggered labyrinth seal with two teeth on the rotor and one tooth on the stator. For numerical simulation, three computational meshes with different refinement are considered. All of the numerical simulations are performed for both stationary rotor and for rotor rotating at 50 Hz. The obtained numerical results are compared with results computed by the commercial CFD software Ansys Fluent.
本文应用不连续伽辽金有限元法对可压缩流体在迷宫密封中的流动进行了数值模拟。本文提出了一种曲线六面体单元,它的变形使其与迷宫密封的旋转壁面完全匹配。对转子两齿、定子一齿交错篦齿密封进行了数值研究。在数值模拟中,考虑了三种不同细化的计算网格。所有的数值模拟都是在静止转子和50hz旋转转子下进行的。所得数值结果与商用CFD软件Ansys Fluent计算结果进行了比较。
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引用次数: 0
Geometric Optimization of Jet Pump Used in Vacuum Distillation Applications under Different Operating Conditions using Genetic-algorithm Methods 应用遗传算法对不同工况下真空蒸馏用喷射泵进行几何优化
Q4 Chemical Engineering Pub Date : 2022-01-01 DOI: 10.22055/JACM.2021.38411.3228
W. O. Murillo, I. D. P. Arcila, J. A. Palacio-Fernandez
Genetic-algorithm methods are used here for single-objective (SO) and multi-objective (MO) geometrical optimizations of jet pumps used in vacuum distillation of ethanol, an application not deeply studied in scientific literature. These devices are particularly suitable to allow the azeotrope-breaking below the atmospheric pressure at ambient temperature. Based on this, different working pressures (Pp), five non-dimensional geometrical parameters that can influence the jet pump operation, and three performance parameters (drag coefficient, pressure recovery ratio and energy efficiency) are considered in this work. Furthermore, using a central composite, face-centered, enhanced experimental design, 89 simulation experiments are run to obtain Response Surfaces (RS) by genetic aggregation, applying afterwards the SOGA and MOGA optimization methods. Also, Spearman Rank-order correlation matrix is employed as initial screening, finding strongly negative correlation of drag coefficient and efficiency with the working pressure, Pp. Computational Fluid Dynamic (CFD) model is validated with other numerical and experimental works, obtaining satisfactory results. Additionally, the change of the optimized input and output parameters with Pp is studied, along with the behavior of Mach number. It can be concluded that the optimal nozzle parameters evidently influenced by Pp for the SO optimization are: outlet diameter and length of divergent part, conicity of convergent part, and ratio of inlet to throat area. For the MO optimization, changes of optimized geometrical parameters with Pp are negligible. In contrast, performance parameters are importantly influenced by Pp for all optimizations.
本文将遗传算法用于乙醇真空蒸馏中喷射泵的单目标和多目标几何优化,这一应用在科学文献中尚未得到深入研究。这些装置特别适合于在环境温度下使共沸物在低于大气压的情况下破裂。在此基础上,考虑了不同的工作压力(Pp)、影响喷射泵运行的5个无量纲几何参数和3个性能参数(阻力系数、压力恢复比和能效)。在此基础上,采用中心复合、以面为中心、增强的实验设计,进行了89次仿真实验,通过遗传聚集获得响应面,然后应用SOGA和MOGA优化方法。采用Spearman秩序相关矩阵进行初步筛选,发现阻力系数和效率与工作压力Pp呈较强的负相关关系。计算流体动力学(CFD)模型与其他数值和实验工作进行了验证,获得了满意的结果。此外,还研究了优化后的输入输出参数随Pp的变化以及马赫数的变化规律。结果表明,受Pp影响较大的喷管优化参数为:发散部分出口直径和长度、收敛部分圆锥度、入口与喉道面积比。对于MO优化,优化后的几何参数随Pp的变化可以忽略不计。相反,对于所有优化,性能参数都受到Pp的重要影响。
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引用次数: 4
Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods 杂化不连续伽辽金方法隐式时间离散化方案的比较
Q4 Chemical Engineering Pub Date : 2022-01-01 DOI: 10.24132/acm.2022.786
Tomáš Levý, G. May
The present study is focused on the application of two families of implicit time-integration schemes for general time-dependent balance laws of convection-diffusion-reaction type discretized by a hybridized discontinuous Galerkin method in space, namely backward differentiation formulas (BDF) and diagonally implicit Runge-Kutta (DIRK) methods. Special attention is devoted to embedded DIRK methods, which allow the incorporation of time step size adaptation algorithms in order to keep the computational effort as low as possible. The properties of the numerical solution, such as its order of convergence, are investigated by means of suitably chosen test cases for a linear convection-diffusion-reaction equation and the nonlinear system of Navier-Stokes equations. For problems considered in this work, the DIRK methods prove to be superior to high-order BDF methods in terms of both stability and accuracy.
本文研究了用杂化不连续伽辽金方法离散的对流-扩散-反应型一般时变平衡律的两类隐式时间积分格式的应用,即后向微分公式(BDF)和对角隐式龙格-库塔(DIRK)方法。特别注意的是嵌入式DIRK方法,它允许合并时间步长适应算法,以保持尽可能低的计算量。通过选取适当的测试用例,研究了线性对流-扩散-反应方程和非线性Navier-Stokes方程组的数值解的收敛阶等性质。对于本文所考虑的问题,DIRK方法在稳定性和精度方面都优于高阶BDF方法。
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引用次数: 0
期刊
Applied and Computational Mechanics
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