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Energy Preserving Multiphase Flows: Application to Falling Films 保能多相流:在降膜中的应用
Pub Date : 2021-10-07 DOI: 10.23967/WCCM-ECCOMAS.2020.133
N. Valle, F. Trias, J. Castro
The numerical simulation of multiphase flows presents several challenges, namely the transport of different phases within de domain and the inclusion of capillary effects. Here, these are approached by enforcing a discrete physics-compatible solution. Extending our previous work on the discretization of surface tension [N. Valle, F. X. Trias, and J. Castro. An energy-preserving level set method for multiphase flows. J. Comput. Phys., 400:108991, 2020] with a consistent mass and momentum transfer a fully energy-preserving multiphase flow method is presented. This numerical technique is showcased within the simulation of a falling film under several working conditions related to the normal operation of LiBr absorption chillers. Keywords— Multiphase flows, Symmetry-preserving, Computational Methods, Falling films
多相流的数值模拟面临着几个挑战,即不同相在区域内的输运和毛细效应的包含。在这里,这些都是通过执行一个离散的物理兼容解决方案来实现的。扩展了我们先前关于表面张力离散化的研究[N]。Valle, F. X. Trias和J. Castro。多相流的保能水平集方法。j .第一版。理论物理。[j],[400:108991, 2020]在质量和动量传递一致的情况下,提出了一种完全守恒的多相流方法。该数值技术在与溴化锂吸收式制冷机正常运行有关的几种工作条件下的落膜模拟中得到了展示。关键词:多相流,对称性保持,计算方法,落膜
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引用次数: 1
On the Quantification of Discretization Uncertainty: Comparison of Two Paradigms 关于离散化不确定性的量化:两种范式的比较
Pub Date : 2021-03-25 DOI: 10.23967/wccm-eccomas.2020.260
J. Bect, S. Zio, G. Perrin, C. Cannamela, E. Vázquez
Numerical models based on partial differential equations (PDE), or integro-differential equations, are ubiquitous in engineering and science, making it possible to understand or design systems for which physical experiments would be expensive-sometimes impossible-to carry out. Such models usually construct an approximate solution of the underlying continuous equations, using discretization methods such as finite differences or the finite elements method. The resulting discretization error introduces a form of uncertainty on the exact but unknown value of any quantity of interest (QoI), which affects the predictions of the numerical model alongside other sources of uncertainty such as parametric uncertainty or model inadequacy. The present article deals with the quantification of this discretization uncertainty.A first approach to this problem, now standard in the V&V (Verification and Validation) literature, uses the grid convergence index (GCI) originally proposed by P. Roache in the field of computational fluid dynamics (CFD), which is based on the Richardson extrapolation technique. Another approach, based on Bayesian inference with Gaussian process models, was more recently introduced in the statistical literature. In this work we present and compare these two paradigms for the quantification of discretization uncertainty, which have been developped in different scientific communities, and assess the potential of the-younger-Bayesian approach to provide a replacement for the well-established GCI-based approach, with better probabilistic foundations. The methods are illustrated and evaluated on two standard test cases from the literature (lid-driven cavity and Timoshenko beam).
基于偏微分方程(PDE)或积分微分方程的数值模型在工程和科学中无处不在,这使得理解或设计物理实验昂贵(有时不可能进行)的系统成为可能。这种模型通常使用离散化方法,如有限差分法或有限元法,来构造潜在连续方程的近似解。由此产生的离散化误差对任何兴趣量(qi)的精确但未知的值引入了一种形式的不确定性,这会影响数值模型的预测以及其他不确定性来源,如参数不确定性或模型不充分性。本文讨论了这种离散化不确定性的量化。解决这个问题的第一种方法是使用网格收敛指数(GCI),该指数最初是由P. Roache在计算流体动力学(CFD)领域提出的,基于Richardson外推技术,现在已成为V&V(验证和验证)文献中的标准方法。另一种方法,基于高斯过程模型的贝叶斯推理,最近在统计文献中被引入。在这项工作中,我们提出并比较了这两种在不同科学界发展起来的离散化不确定性量化范式,并评估了年轻贝叶斯方法的潜力,以更好的概率基础取代已建立的基于gci的方法。通过文献中的两个标准测试案例(盖驱动腔和Timoshenko梁)对这些方法进行了说明和评估。
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引用次数: 2
Multiphysics Modelling of a Hybrid Rocket Engine 混合动力火箭发动机的多物理场建模
Pub Date : 2021-03-12 DOI: 10.23967/WCCM-ECCOMAS.2020.213
A. Ferrero, F. Masseni, L. Muscarà, D. Pastrone
Hybrid rocket engines (HREs) present interesting advantages over liquid rocket engines (LREs) and solid rocket motors (SRMs). In order to appreciate these advantages, one should look into the different combustion characteristics; in the hybrid engines the combustion occurs in a macrodiffusion flame and the oxidizer to fuel ratio changes along the combustion chamber. In solid rockets the oxidizer and fuel are mechanically or chemically bound in a single solid phase and they burn with a microdiffusion flame while, in the liquid engines, the combustion results from a premixed flame. Thus, unlike hybrids, both these engines have an uniform mixture ratio. On the other hand, in hybrid engines it is possible to throttle by modulating only the liquid flow rate, which is simpler than in a liquid engine where two flow rates must be synchronized. Furthermore, the European Union is pushing to proscribe some dangerous liquid propellants such as the hydrazine derivatives. As a consequence, there is a huge interest for the “green” propellants and also in this case the HREs present an optimum choice since they employ low toxicity propellants. Indeed, most hybrid propellants and additives are essentially nontoxic, resulting in minimal local environmental impact. The physical separation of fuel and oxidizer serves also to reduce the probability of an accident, which could lead to propellant release in the environment. An interesting feature is that the HREs seem viable for the lift-off from Mars because the typical solid fuels employed in HREs, contrary from the ones used for SRMs, do not develop cracks when subjected to wide temperature ranges [1]. From an economical point of view the operational cost for hybrid systems is affordable thanks to their safety features and inert propellant [2]. Despite the several advantages of hybrid systems compared to liquid and solid systems, the hybrids have not seen yet a mass production unlike heritage propulsion systems. In fact, the
混合动力火箭发动机(HREs)比液体火箭发动机(LREs)和固体火箭发动机(SRMs)具有有趣的优势。为了了解这些优点,我们应该研究一下不同的燃烧特性;在混合动力发动机中,燃烧发生在大扩散火焰中,氧化剂与燃料的比例沿燃烧室变化。在固体火箭中,氧化剂和燃料在机械或化学上结合在一个单一的固体相中,它们用微扩散火焰燃烧,而在液体发动机中,燃烧是由预混火焰产生的。因此,与混合动力发动机不同,这两种发动机的混合比都是均匀的。另一方面,在混合动力发动机中,可以通过仅调节液体流量来节流,这比必须同步两个流量的液体发动机更简单。此外,欧盟正在推动禁止一些危险的液体推进剂,如肼衍生物。因此,人们对“绿色”推进剂有着巨大的兴趣,而且在这种情况下,HREs呈现出最佳选择,因为它们采用了低毒推进剂。事实上,大多数混合推进剂和添加剂基本上是无毒的,对当地环境的影响最小。燃料和氧化剂的物理分离也有助于减少可能导致推进剂释放到环境中的事故的可能性。一个有趣的特点是,高热量燃料似乎适用于从火星发射,因为高热量燃料中使用的典型固体燃料,与用于srm的燃料相反,在受到宽温度范围的影响时不会产生裂纹[1]。从经济角度来看,混合动力系统的运行成本是可以承受的,这要归功于它们的安全特性和惰性推进剂[2]。尽管与液体和固体推进系统相比,混合动力系统有许多优点,但与传统推进系统不同,混合动力系统还没有大规模生产。事实上,
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引用次数: 0
Energy-Momentum Scheme For Nonlinear Thermo-Electro-Elastodynamics 非线性热电弹性动力学的能量-动量格式
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.134
M. Franke, R. Ortigosa, Amparo Gil, M. Hille
. The present contribution aims at the consistent discretisation of nonlinear, coupled thermo-electro-elastodynamics. In that regard, a new one-step implicit and thermodynamically consistent energy-momentum integration scheme for the simulation of thermo-electro-elastic processes undergoing large deformations will be presented. The consideration is based upon polyconvexity inspired, constitutive models and a new tensor cross product algebra, which facilitate the design of the so-called discrete derivatives (for more information it is referred to the pioneering works [3, 2]). The discrete derivatives are fundamental for the algorithmic evaluation of stresses and other derived variables like entropy density or the absolute temperature leading to a structure preserving integration scheme. In particu-lar, recently published works of the authors concerning consistent time integration of large deformation thermo-elastodynamics
. 目前的贡献旨在非线性,耦合热-电-弹动力学的一致离散化。在这方面,将提出一种新的一步隐式和热力学一致的能量-动量积分方案,用于模拟大变形的热电弹性过程。考虑是基于多凸性启发的本构模型和一个新的张量叉积代数,这有利于所谓的离散导数的设计(更多信息可参考开创性的作品[3,2])。离散导数是计算应力和其他衍生变量(如熵密度或绝对温度)的算法的基础,从而实现保持结构的积分方案。特别是作者最近发表的关于大变形热弹性动力学的一致时间积分的著作
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引用次数: 0
Three-Dimensional Direct Numerical Simulation (DNS) of Taylor Bubbles Rising in Non-Newtonian Environments 非牛顿环境中泰勒气泡上升的三维直接数值模拟
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.343
A. Amani, J. Castro, A. Oliva
Three-dimensional numerical simulation of Taylor gas bubbles as primary unites of slug flow patterns rising in non-Newtonian environments is performed in the context of Direct Numerical Simulation (DNS) of the governing equations, where the whole physics of fluid motions will be taken into account. State-of-the-art numerical tools are proposed to tackle the numerical challenges in the DNS study of this problem. E.g. a coupled level-set volume-of-fluid (CLSVOF) interface capturing method is used to solve the topological changes of the interface. Physical formulations are integrated with moving-mesh (MM) technique to decrease the computational cost of 3D simulations and adaptivemesh-refinement (AMR) technique to increase the local accuracy around the interface. The governing equations are solved using High-Performance Computing (HPC) parallel approaches. To the best of the authors’ knowledge, this is the first work dealing with three-dimensional direct numerical simulation of Taylor bubbles rising in non-Newtonian environments.
在控制方程的直接数值模拟(DNS)的背景下,对Taylor气泡作为非牛顿环境中上升的段塞流模式的主要单位进行了三维数值模拟,其中流体运动的整个物理将被考虑在内。提出了最先进的数值工具来解决这个问题的DNS研究中的数值挑战。例如,采用耦合水平集流体体积(CLSVOF)界面捕获方法来求解界面的拓扑变化。物理公式与移动网格(MM)技术相结合,以减少三维模拟的计算成本,并与自适应网格细化(AMR)技术相结合,以提高界面周围的局部精度。采用高性能计算(HPC)并行方法求解控制方程。据作者所知,这是第一个处理泰勒气泡在非牛顿环境中上升的三维直接数值模拟的工作。
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引用次数: 0
Cad-Based Adaptive Shape Parametrisation for Aerodynamic Shape Optimisation 基于cad的气动外形优化自适应参数化
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.079
R. Jesudasan, J. Mueller
. Non-Uniform Rational B-Splines (NURBS) have become the industrial standard to represent and exchange a CAD geometry between CAD/CAE systems. CAD-based shape parameterisation uses parameters of a CAD model to modify the shape which allows to integrate a CAD model into the design loop. However, feature-trees of typical commercial CAD systems are not open and obtaining exact derivatives for gradient-based optimisation methods is not possible. Using the CAD-based NSPCC approach a designer can deform multiple NURBS patches in the design loop without violating geometric and/or thickness constraints. The NSPCC approach takes CAD descriptions as input and perturbs the control points of the NURBS boundary representation to modify the shape. In this work, an adaptive NSPCC method is proposed where the optimisation begins with a coarser design space and adapts to finer parametrisation during the design process where more shape control is needed. The refinement sensor is based on a comparison of smoothed node-based sensitivity compared to its projection onto the shape modes of the current parametrisation. Both static and adaptive parametrisation methods are coupled in the adjoint-based shape optimisation process to reduce the total pressure loss of a turbine blade internal cooling channel. The discrete adjoint flow solver STAMPS is used to compute the flow fields and their derivatives w.r.t. surface node displacements. The shape derivatives for gradient-based optimisation are obtained by application of reverse mode AD to the NSPCC
. 非均匀理性b样条(NURBS)已经成为在CAD/CAE系统之间表示和交换CAD几何图形的工业标准。基于CAD的形状参数化使用CAD模型的参数来修改形状,从而允许将CAD模型集成到设计循环中。然而,典型的商业CAD系统的特征树是不开放的,并且不可能获得基于梯度的优化方法的精确导数。使用基于cad的NSPCC方法,设计人员可以在不违反几何和/或厚度约束的情况下变形设计循环中的多个NURBS补丁。NSPCC方法以CAD描述为输入,通过扰动NURBS边界表示的控制点来修改形状。在这项工作中,提出了一种自适应NSPCC方法,其中优化从更粗糙的设计空间开始,并在需要更多形状控制的设计过程中适应更精细的参数化。改进传感器是基于平滑的基于节点的灵敏度与它的投影到当前参数化的形状模式的比较。将静态参数化方法和自适应参数化方法结合到基于伴随的形状优化过程中,以降低涡轮叶片内冷却通道的总压损失。采用离散伴随流求解器STAMPS计算流场及其导数随时间变化的表面节点位移。将反模AD应用于NSPCC,得到了基于梯度优化的形状导数
{"title":"Cad-Based Adaptive Shape Parametrisation for Aerodynamic Shape Optimisation","authors":"R. Jesudasan, J. Mueller","doi":"10.23967/WCCM-ECCOMAS.2020.079","DOIUrl":"https://doi.org/10.23967/WCCM-ECCOMAS.2020.079","url":null,"abstract":". Non-Uniform Rational B-Splines (NURBS) have become the industrial standard to represent and exchange a CAD geometry between CAD/CAE systems. CAD-based shape parameterisation uses parameters of a CAD model to modify the shape which allows to integrate a CAD model into the design loop. However, feature-trees of typical commercial CAD systems are not open and obtaining exact derivatives for gradient-based optimisation methods is not possible. Using the CAD-based NSPCC approach a designer can deform multiple NURBS patches in the design loop without violating geometric and/or thickness constraints. The NSPCC approach takes CAD descriptions as input and perturbs the control points of the NURBS boundary representation to modify the shape. In this work, an adaptive NSPCC method is proposed where the optimisation begins with a coarser design space and adapts to finer parametrisation during the design process where more shape control is needed. The refinement sensor is based on a comparison of smoothed node-based sensitivity compared to its projection onto the shape modes of the current parametrisation. Both static and adaptive parametrisation methods are coupled in the adjoint-based shape optimisation process to reduce the total pressure loss of a turbine blade internal cooling channel. The discrete adjoint flow solver STAMPS is used to compute the flow fields and their derivatives w.r.t. surface node displacements. The shape derivatives for gradient-based optimisation are obtained by application of reverse mode AD to the NSPCC","PeriodicalId":148883,"journal":{"name":"14th WCCM-ECCOMAS Congress","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129053818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified Spectral Method of Anisotropic Turbulent Velocity Field Generation Preserving Incompressibility 保持不可压缩性的各向异性湍流速度场生成的修正谱法
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.066
A. V. Alexandrov, L. Dorodnicyn, A. Duben, D. Kolyukhin
. A method for the numerical generation of anisotropic turbulent velocity fields is presented. The proposed technique is based on the spectral method (SM) [1]. The traditional adaptation of isotropic field generated with spectral methods uses a Cholesky decomposition of Reynolds stresses tensor. After this adaptation the resulted field loses the property of incompressibility provided in the isotropic case. We have modified this method to use it in the anisotropic case and guarantee the incompressibility of generated turbulent field. Comparison of the results of IDDES simulation of canonical turbulent flow using inlet boundary conditions based on modified and non modified spectral methods are presented.
. 提出了一种各向异性湍流速度场的数值生成方法。所提出的技术是基于谱法(SM)[1]。传统的谱法生成的各向同性场的自适应采用雷诺应力张量的Cholesky分解。经过这种调整,得到的场失去了各向同性情况下所提供的不可压缩性。我们对该方法进行了改进,使其适用于各向异性情况,并保证了所产生的湍流场的不可压缩性。比较了基于修正谱法和非修正谱法在进口边界条件下的典型湍流IDDES模拟结果。
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引用次数: 0
An Adjoint Method for the Optimal Boundary Control of Turbulent Flows Modeled with the Rans System 用Rans系统建模的湍流最优边界控制的伴随方法
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.055
A. Chierici, L. Chirco, V. Giovacchini, S. Manservisi
. In recent years, the optimal control in fluid dynamics has gained attention for the design and the optimization of engineering devices. One of the main challenges concerns the application of the optimal control theory to turbulent flows modeled by the Reynolds averaging Navier-Stokes equations. In this work we propose the implementation of an optimal boundary control problem for the Reynolds-Averaged Navier-Stokes system closed with a two-equations turbulence model. The optimal boundary velocity is sought in order to achieve several objectives such as the enhancement of turbulence or the matching of the velocity field over a well defined domain region. The boundary where the control acts can be the main inlet section or additional injection holes placed along the domain. By minimizing the augmented Lagrangian functional we obtain the optimality system comprising the state, the adjoint, and the control equations. Furthermore, we propose numerical strategies that allow to solve the optimality system in a robust way for such a large number of unknowns.
. 近年来,流体动力学中的最优控制在工程装置的设计和优化中得到了广泛的关注。其中一个主要的挑战是如何将最优控制理论应用于由Reynolds平均Navier-Stokes方程模拟的湍流。在这项工作中,我们提出了用两方程湍流模型封闭的reynolds - average Navier-Stokes系统的最优边界控制问题的实现。寻找最优边界速度是为了实现几个目标,如增强湍流或匹配速度场在一个明确的区域。控制作用的边界可以是主入口部分或沿区域放置的附加注射孔。通过最小化增广拉格朗日泛函,得到由状态方程、伴随方程和控制方程组成的最优系统。此外,我们提出了数值策略,允许以鲁棒的方式解决如此大量的未知数的最优性系统。
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引用次数: 0
Reversible Order-Disorder Transition in Ettringite-Metaettringite Conversion 钙矾石-偏钙矾石转换中的可逆有序-无序转变
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.289
Tulio Honoro, S. A. Dandachli, Alexandra Bourdot
. The stability of ettringite under sorption and the conversion into metaettringite are studied using hybrid Grand Canonical Monte Carlo (GCMC) and (classical) Molecular Dynamics (MD) simulations sampling the osmotic ensemble. The desorption branch obtained from simulation and the associated volume changes are in agreement with the experimental evidence. We pay special attention to the structural changes at low RH, which is associated with metaettringite conversion, which is recognized as a disordered polymorph of ettringite with an unknown structure to date. We show that the conversion of ettringite into metaettringite is associated with an increase in entropy. The adsorption branch obtained from simulations is reversible in the ettringite domain in agreement with experiments. The reversibility in the conversion of metaettringite into ettringite, which is observed experimentally, is not captured by the simulation approach adopted. The large deformations associated with ettringite desorption make it difficult to capture reversibility with a direct sampling of the osmotic ensemble. Further, we discuss the role of hydrogen bonds on the hysteresis observed in sorption cycles in ettringite.
. 采用大正则蒙特卡罗(GCMC)和(经典)分子动力学(MD)混合模拟方法对渗透系综进行采样,研究了钙矾石在吸附下的稳定性和向偏钙矾石转化的过程。模拟得到的解吸分支及相应的体积变化与实验结果一致。我们特别关注低相对湿度下的结构变化,这与偏钙矾石转化有关,这被认为是一种结构未知的无序多晶钙矾石。我们证明了钙矾石向偏钙矾石的转化与熵的增加有关。模拟得到的吸附分支在钙矾石区域是可逆的,与实验结果一致。偏钙矾石转化为钙矾石的可逆性是实验观察到的,但所采用的模拟方法没有捕捉到。与钙矾石解吸有关的大变形使得用渗透集合的直接采样很难捕获可逆性。进一步,我们讨论了氢键在钙矾石吸附循环中观察到的滞回效应中的作用。
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引用次数: 0
Numerical Investigation of Oleo-Pneumatic Shock Absorber: Setup and Validation 油压-气动减振器的数值研究:建立与验证
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.231
A. A. Al-Shabab, D. Vitlaris, Zhonglu Lin, B. Grenko, Panagiotis Tsoutsanis, A. Antoniadis, M. Skote
. The simulation of an oleo-pneumatic shock absorber is discussed focusing on the solver validation and high fidelity case setup. The multi-physics nature of the problem is tackled by conducting a range of validation cases in the base areas expected to be of relevance. A dynamic system model of the shock absorber is used to generate physically consistent boundary conditions. In addition, steady RANS simulations provide a preliminary insight into the internal flow development and to assist in the design of higher resolution grids.
. 讨论了油气减振器的仿真问题,重点讨论了求解器的验证和高保真案例的建立。通过在预期相关的基础领域进行一系列验证案例来解决问题的多物理场性质。利用减振器的动态系统模型生成物理一致的边界条件。此外,稳定的RANS模拟提供了对内部流动发展的初步了解,并有助于设计更高分辨率的网格。
{"title":"Numerical Investigation of Oleo-Pneumatic Shock Absorber: Setup and Validation","authors":"A. A. Al-Shabab, D. Vitlaris, Zhonglu Lin, B. Grenko, Panagiotis Tsoutsanis, A. Antoniadis, M. Skote","doi":"10.23967/WCCM-ECCOMAS.2020.231","DOIUrl":"https://doi.org/10.23967/WCCM-ECCOMAS.2020.231","url":null,"abstract":". The simulation of an oleo-pneumatic shock absorber is discussed focusing on the solver validation and high fidelity case setup. The multi-physics nature of the problem is tackled by conducting a range of validation cases in the base areas expected to be of relevance. A dynamic system model of the shock absorber is used to generate physically consistent boundary conditions. In addition, steady RANS simulations provide a preliminary insight into the internal flow development and to assist in the design of higher resolution grids.","PeriodicalId":148883,"journal":{"name":"14th WCCM-ECCOMAS Congress","volume":"573 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120877627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
14th WCCM-ECCOMAS Congress
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