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On Preconditioning Variable Poisson Equation with Extreme Contrasts in the Coefficients 系数极值对比的预调节变量泊松方程
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.254
À. Alsalti-Baldellou, F. Trias, A. Gorobets, A. Oliva
. It is well known that the solution by means of iterative methods of very ill-conditioned systems leads to very poor convergence rates. In this context, preconditioning becomes crucial in order to modify the spectrum of the system being solved and improve the performance of the solvers. A proper balance between the reduction in the number of iterations and the overhead of the construction and application of the preconditioner needs to be sought to actually decrease the total execution time of the solvers. This is particularly important when considering variable coefficients matrices as, in general, its preconditioners will also be variable and need to be updated regularly at an affordable cost. In this work we present a family of variable preconditioners designed for the effective solution of variable Poisson equation with extreme contrasts in the coefficients, which represents a particularly challenging case as it translates into a variable and extremely ill-conditioned system arising in many situations such as with multiphase flows presenting high density ratios or in the presence of highly-stretched adaptive mesh refinements
。众所周知,用迭代方法求解非常病态系统会导致非常差的收敛速度。在这种情况下,为了修改待解系统的频谱和提高求解器的性能,预处理变得至关重要。需要在迭代次数的减少与前置条件的构造和应用的开销之间寻求适当的平衡,以实际减少求解器的总执行时间。在考虑可变系数矩阵时,这一点尤其重要,因为一般来说,它的前置条件也是可变的,需要以负担得起的成本定期更新。在这项工作中,我们提出了一组变量预调节器,用于有效解决具有极端对比系数的变量泊松方程,这代表了一个特别具有挑战性的情况,因为它转化为在许多情况下出现的变量和极端病态系统,例如呈现高密度比的多相流或存在高度拉伸的自适应网格细化
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引用次数: 2
Implementation and Validation of a Computationally Efficient DNS Solver for Reacting Flows in OpenFOAM OpenFOAM中响应流计算效率DNS求解器的实现与验证
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.175
T. Zirwes, F. Zhang, P. Habisreuther, J. Denev, H. Bockhorn, D. Trimis
. To meet future climate goals, the efficiency of combustion devices has to be increased. This requires a better understanding of the underlying physics. The simulation of turbulent flames is a challenge because of the multi-scale nature of combustion processes: relevant length scales span over five orders of magnitude and time scales over more than ten. Because of this, the direct numerical simulation (DNS) of turbulent flames is only possible on large supercomputers. A DNS solver for chemically reacting flows implemented in the open-source framework OpenFOAM is presented. The thermo-chemical library Cantera is used to compute detailed transport coefficients based on kinetic gas theory. The multi-scale nature of time scales, which are much lower for the combustion chemistry than for the flow, are bridged by an operator splitting approach, which employs the open-source solver Sundials to integrate chemical reaction rates. Because the direct simulation
. 为了达到未来的气候目标,必须提高燃烧装置的效率。这需要对底层物理有更好的理解。湍流火焰的模拟是一个挑战,因为燃烧过程的多尺度性质:相关的长度尺度超过五个数量级,时间尺度超过十个数量级。正因为如此,湍流火焰的直接数值模拟(DNS)只能在大型超级计算机上实现。提出了一个在开放源代码框架OpenFOAM中实现的用于化学反应流的DNS解析器。利用热化学库Cantera计算基于动力学气体理论的详细输运系数。燃烧化学反应的时间尺度比流动的时间尺度要低得多,这种多尺度的时间尺度可以通过操作员分裂方法来解决,该方法使用开源求解器Sundials来整合化学反应速率。因为直接模拟
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引用次数: 7
Numerical Analysis of a Mechanical De-Icing Process by Low Frequency Oscillation of a CFRP Layer CFRP层低频振荡机械除冰过程的数值分析
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.225
Felix Grubert, M. Nuño, K. Schröder
. De-icing of general aviation aircraft is usually realized by chemical or thermal processes. These lead to an increase in fuel consumption or usage of electrical energy. Mechanical de-icing is a way to significantly reduce this consumption. In mechanical de-icing, a surface is deformed so that the required failure mechanisms are induced in the ice, causing it to detach. In this paper, the release behavior of ice on a CFRP layer is investigated. The CFRP layer consists of two plies, each 0.3 mm thick. A numerical calculation is performed to determine the natural frequency and the required amplitudes of the vibration. In addition, the relationship between the various failure mechanisms of ice and the ice layer thickness, as well as the control values are determined. Tests are also being conducted to demonstrate the feasibility of mechanical de-icing. For this purpose, the surface of a CFRP layer is iced with water in a climate chamber at -20°C. A modal shaker is connected to the CFRP and generates the required displacements at desired frequencies to observe the detachment of the ice.
。通用航空飞机的除冰通常是通过化学或热过程来实现的。这些导致燃料消耗或电能使用的增加。机械除冰是一种显著减少这种消耗的方法。在机械除冰中,表面被变形,从而在冰中引起所需的破坏机制,导致冰分离。本文研究了冰在CFRP层上的释放行为。CFRP层由两层组成,每层0.3 mm厚。进行了数值计算以确定固有频率和所需的振动幅值。此外,还确定了冰的各种破坏机制与冰层厚度之间的关系以及控制值。还在进行试验,以证明机械除冰的可行性。为此,在-20°C的气候室中,CFRP层的表面用水结冰。模态激振器连接到CFRP,并在所需频率下产生所需的位移,以观察冰的脱离。
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引用次数: 0
Scalable Newton-Krylov-BDDC and FETI-DP Deluxe Solvers for Decoupled Cardiac Reaction-Diffusion Models 解耦心脏反应扩散模型的可扩展Newton-Krylov-BDDC和FETI-DP豪华求解器
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.294
N. Huynh, L. Pavarino, S. Scacchi
Abstract. Two parallel Newton-Krylov Balancing Domain Decomposition by Constraints (BDDC) and Dual-Primal Finite Element Tearing and Interconnecting (FETI-DP) solvers are analyzed and numerically studied for implicit time discretizations of the Bidomain equations. This system models the cardiac bioelectrical activity and it consists of a degenerate system of two non-linear reaction-diffusion partial differential equations (PDEs), coupled with a stiff system of ordinary differential equations (ODEs). A non-linear algebraic system arises from a finite element discretization in space and an implicit discretization in time, based on decoupling the PDEs from the ODEs. Within each Newton iteration, the Jacobian linear system is solved by a Krylov method, accelerated by BDDC or FETI-DP preconditioners, both augmented with the recently introduced deluxe scaling of the dual variables. Several parallel numerical tests on Linux clusters confirm a novel polylogarithmic convergence rate bound, showing scalability and quasi-optimality of the proposed solvers.
摘要对两种并行Newton-Krylov平衡约束域分解(BDDC)和双原有限元撕裂互连(FETI-DP)求解方法进行了分析和数值研究,用于biddomain方程的隐式时间离散化。该系统模拟了心脏生物电活动,它由两个非线性反应扩散偏微分方程(PDEs)的退化系统和一个刚性常微分方程(ode)系统组成。非线性代数系统由空间上的有限元离散化和时间上的隐式离散化组成,基于微分方程和微分方程的解耦。在每次牛顿迭代中,雅可比线性系统由Krylov方法求解,由BDDC或FETI-DP预调节器加速,两者都增加了最近引入的对偶变量的豪华缩放。在Linux集群上的几个并行数值测试证实了一个新的多对数收敛速度界,显示了所提出的求解器的可扩展性和拟最优性。
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引用次数: 1
Full-Waveform Inversion of SH-Wave Input Motions in a Near-Surface 2D Domain 近地表二维域sh波输入运动的全波形反演
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.152
B. Guidio, C. Jeong
. There is a need to estimate complex seismic input motions in a near-surface domain, without resorting to the hypocenter, from restricted seismic measurement data. Thus, engineers can replicate responses within structures and soils after an earthquake occurrence by using the estimated seismic in-puts and evaluate the impact of an earthquake on the built environment. To date, there has been no robust numerical method that can identify complex seismic input motions in a solid, truncated by a wave-absorbing boundary condition. Existing methods are limited to large-scale seismic-source inversion approaches and deconvolution. To fill this gap, a new inversion modeling method is presented for reconstructing complex, incoherent SH wave input motions in a two-dimensional (2D) domain that is truncated by a wave-absorbing boundary condition (WABC), using a partial differential equation (PDE)-constrained optimization method. In a set of numerical examples, targeted, dynamic traction at the WABC mimics seismic incident wavefield. The discretize-then-optimize (DTO) approach is used in the mathematical modeling and numerical implementation, and the finite element method (FEM) is applied to solve state and adjoint problems. The numerical results indicate that the presented inversion algorithm can reconstruct incident, inclined plane waves. Second, the accuracy of our inversion solver is not compromised by the material complexity of a background domain. Lastly, the minimizer suffers less from solution multiplicity when it identifies lower frequency traction (e.g., a realistic seismic
。需要从有限的地震测量数据估计近地表域的复杂地震输入运动,而不必求助于震源。因此,工程师可以通过使用估计的地震输入来复制地震发生后结构和土壤内的反应,并评估地震对建筑环境的影响。迄今为止,还没有一种可靠的数值方法可以识别由吸波边界条件截断的固体中复杂的地震输入运动。现有方法仅限于大尺度震源反演方法和反褶积方法。为了填补这一空白,提出了一种新的反演建模方法,用于在二维(2D)域中重建复杂的非相干SH波输入运动,该运动被吸波边界条件(WABC)截断,使用偏微分方程(PDE)约束优化方法。在一组数值示例中,WABC的目标动态牵引模拟了地震入射波场。在数学建模和数值实现中采用离散再优化(DTO)方法,并采用有限元法求解状态和伴随问题。数值计算结果表明,所提出的反演算法能够重建入射斜平面波。其次,我们的反演求解器的精度不会受到背景域材料复杂性的影响。最后,当最小化器识别较低频率的牵引力(例如,实际地震)时,它受解多重性的影响较小
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引用次数: 0
A Probabilistic Approach In Long-Term Fatigue Analysis Of Onshore Wind Turbine Tower 陆上风电塔架长期疲劳分析的概率方法
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.036
H. Bai, D. Lemosse, Y. Aoues, J. Cherfils, C. Huang
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引用次数: 0
Shape Optimization for a Noise Reduction Problem by Non-Intrusive Parametric Reduced Modeling 非侵入式参数化简建模的形状优化降噪问题
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.300
F. Bonizzoni, Davide Pradovera
We study a PDE-constrained optimization problem, where the shape and liner material of the na-celle of an aircraft engine are optimized in order to minimize the noise radiated by the engine. More precisely, the acoustic problem is modeled by the Helmholtz equation with varying wavenumber k on an exterior domain. A model reduction strategy is employed to alleviate the cost of the design optimization: the minimal rational interpolation technique is used to construct a surrogate (w.r.t. k ) for the quantity of interest at fixed shape/material parameter values, and a parametric model order reduction approach is employed to combine surrogates at different shape/material designs, resulting in a nonintrusive methodology. Numerical experiments for shape and shape/material optimization are provided, to showcase the effectiveness of the presented methodology.
本文研究了一个pde约束优化问题,该问题对某型航空发动机纳室的形状和衬垫材料进行了优化,以使发动机辐射噪声最小化。更精确地说,声学问题是用在外域上具有变化波数k的亥姆霍兹方程来模拟的。采用模型约简策略来减轻设计优化的成本:使用最小有理插值技术来构建固定形状/材料参数值下感兴趣数量的代理(w.r.t. k),并采用参数化模型阶数约简方法来组合不同形状/材料设计下的代理,从而形成非侵入式方法。给出了形状和形状/材料优化的数值实验,以证明所提出方法的有效性。
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引用次数: 5
Large Scale Discrete Element Simulation Campaigns – Simulating Extraterrestrial Soils in Partsival 大规模离散元模拟运动-局部模拟地外土壤
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.187
R. Lichtenheldt, S. Ono, L. Stubbig
Abstract. In planetary exploration, testing under the actual mission conditions is inherently not possible. Hence, simulation campaigns complement ground test campaigns. This specially applies to surface missions that include the complex behaviour of soils under non-terrestrial gravitation. Increasingly ambitious mission goals made large simulation campaigns with very precise particle models necessary for the simulation of soil interaction. Thus, to limit the amount of time and the computation hardware needed, DLR developed the particle simulation tool “Sir partsival”. This tool does not only speed up simulations by usage of GPU computing, but also integrates the institute’s experience in modelling of soil on Earth and beyond. Using partsival it was possible to speed up simulations by more than a factor of ten and thus conduct large simulation campaigns. Two examples are shown: a large, on-going validation campaign of DEM for wheel simulations, and the completed traction optimization for the MMX rover wheel.
摘要在行星探测中,在实际任务条件下进行测试是不可能的。因此,模拟战役是对地面试验战役的补充。这特别适用于包括土壤在非地球引力作用下的复杂行为的地面任务。越来越雄心勃勃的任务目标使得模拟土壤相互作用所需的非常精确的粒子模型的大型模拟活动。因此,为了限制时间和所需的计算硬件,DLR开发了粒子模拟工具“Sir partsival”。该工具不仅通过使用GPU计算加快了模拟速度,而且还整合了该研究所在地球和其他地方土壤建模方面的经验。使用partsival可以将模拟速度提高十倍以上,从而进行大型模拟活动。展示了两个例子:一个是车轮模拟的大型持续DEM验证活动,另一个是MMX漫游者车轮的完整牵引力优化。
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引用次数: 1
Comparison of Different Solvers and Geometry Representation Strategies for Dns of Rough Wall Channel Flow 粗糙壁通道流的不同求解方法及几何表示策略的比较
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.089
Florian Theobald, K. Schäfer, Jiasheng Yang, B. Frohnapfel, M. Stripf, P. Forooghi, A. Stroh
In the present study we investigate an incompressible turbulent channel flow with heat transfer at Reτ = 180 with a deterministic surface topography consisting of truncated cones. Two solvers for each of the two boundary handling strategies are considered. With Nek5000 and OpenFOAM the influence of the roughness elements is directly accounted for by an unstructured body fitted mesh, whereas Xcompact3d and SIMSON utilize the immersed boundary method (IBM) to deal with the 3D geometry. The main focus of this work is on an evaluation of the usability of the IBM and a comparison of the parallel performance of the different solvers. Since usability is an ambiguous definition, various quantities are compared: global statistics like Nusselt number and friction coefficient, one-dimensional wall-normal profiles for first and second order statistics, as well as three-dimensional averages over roughness sections. In addition, the computational effort for each method is documented.
在本研究中,我们研究了Reτ = 180处具有确定性表面形貌由截锥组成的不可压缩湍流通道流的传热。考虑了两种边界处理策略的两个求解器。对于Nek5000和OpenFOAM,粗糙度元素的影响直接由非结构化体拟合网格来考虑,而Xcompact3d和SIMSON则利用浸入边界法(IBM)来处理3D几何形状。这项工作的主要重点是对IBM的可用性进行评估,并比较不同求解器的并行性能。由于可用性是一个模棱两可的定义,因此比较了各种数量:像努塞尔数和摩擦系数这样的全局统计数据,一阶和二阶统计数据的一维墙法向曲线,以及粗糙部分的三维平均值。此外,每种方法的计算工作都有文档记录。
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引用次数: 2
Efficient Characterization and Modelling of the Nonlinear Behaviour of LFT for Crash Simulations 碰撞仿真中LFT非线性行为的有效表征与建模
Pub Date : 2021-03-11 DOI: 10.23967/WCCM-ECCOMAS.2020.130
H. Grimm‐Strele, M. Kabel, H. Andrä, S. Staub, J. Lienhard, T. Schweiger, O. Herd
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引用次数: 1
期刊
14th WCCM-ECCOMAS Congress
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