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We introduce a variational multiscale closure modeling strategy for the numerical stabilization of proper orthogonal decomposition reduced-order models of convection-dominated equations. As a first step, the new model is analyzed and tested…

数值分析 · 数学 2015-03-19 Traian iliescu , Zhu Wang

We propose an invariant feature space for the detection of viscous dominated and turbulent regions (i.e., boundary layers and wakes). The developed methodology uses the principal invariants of the strain and rotational rate tensors as input…

流体动力学 · 物理学 2023-02-22 Kheir-Eddine Otmani , Gerasimos Ntoukas , Esteban Ferrer

In this study, we present a tensor--train framework for nonintrusive operator inference aimed at learning discrete operators and using them to predict solutions of physical governing equations. Our framework comprises three approaches:…

数值分析 · 数学 2025-09-11 Engin Danis , Duc Truong , Kim Ø. Rasmussen§ , Boian S. Alexandrov

In soft matter systems the local displacement field can be accessed directly by video microscopy enabling one to compute local strain fields and hence the elastic moduli using a coarse-graining procedure. We study this process for a simple…

软凝聚态物质 · 物理学 2015-05-14 K. Franzrahe , P. Nielaba , S. Sengupta

The crack tip mechanics of strain gradient plasticity solids is investigated analytically and numerically. A first-order mechanism-based strain gradient (MSG) plasticity theory based on Taylor's dislocation model is adopted and implemented…

应用物理 · 物理学 2020-10-16 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , A. Tartygasheva

Viscous resuspension, the process by which sedimented particles are re-entrained into a fluid under flow, is central to numerous natural and industrial systems, including environmental contaminant transport, riverbed erosion, and…

流体动力学 · 物理学 2026-04-14 Mohammadreza Mahmoudian , Simon A. Rogers , Parisa Mirbod

Plastic deformation of micron-scale crystalline materials differ considerably from bulk ones, because it is characterized by random strain bursts. To obtain a detailed picture about this stochastic phenomenon, micron sized pillars have been…

This paper presents a multi-dimensional computational method to predict the spatial variation data inside and across multiple dies of a wafer. This technique is based on tensor computation. A tensor is a high-dimensional generalization of a…

机器学习 · 计算机科学 2019-01-04 Jiali Luan , Zheng Zhang

Flow matching learns a velocity field that transports a base distribution to data. We study how small latent perturbations propagate through these flows and show that Jacobian-vector products (JVPs) provide a practical lens on dependency…

机器学习 · 计算机科学 2026-02-04 Reza Rezvan , Gustav Gille , Moritz Schauer , Richard Torkar

In this paper, a methodology for fine scale modeling of large scale structures is proposed, which combines the variational multiscale method, domain decomposition and model order reduction. The influence of the fine scale on the coarse…

计算工程、金融与科学 · 计算机科学 2023-07-06 Philipp Diercks , Karen Veroy , Annika Robens-Radermacher , Jörg F. Unger

A phase field model for ductile fracture considering Hencky strain and finite J2 plasticity is presented using the nonlocal operator method. A variational derivation of J2 plasticity at finite strain with a phase field model is performed.…

材料科学 · 物理学 2023-02-28 Huilong Ren , Xiaoying Zhuang , Timon Rabczuk

In this study optical flow method was used for soil small deformation measurement in laboratory tests. The main objective was to observe how the deformation distributes along the whole height of cylindrical soil specimen subjected to…

计算工程、金融与科学 · 计算机科学 2021-02-09 Piotr E. Srokosz , Marcin Bujko , Marta Bocheńska , Rafał Ossowski

Strain engineering has emerged as a powerful tool to modify the optical and electronic properties of two-dimensional crystals. Here we perform a systematic study of strained semiconducting transition metal dichalcogenides. The effect of…

材料科学 · 物理学 2015-11-24 Habib Rostami , Rafael Roldán , Emmanuele Cappelluti , Reza Asgari , Francisco Guinea

Microscopic digital volume correlation (DVC) and finite element precoalescence strain evaluations are compared for two nodular cast iron specimens. Displacement fields from \textit{in-situ} 3D synchrotron laminography images are obtained by…

The ability to measure small deformations or strains is useful for understanding many aspects of materials. Here, a new analysis of speckle diffraction peaks is presented in which the systematic shifts of the speckles are analyzed allowing…

材料科学 · 物理学 2021-02-17 Mark Sutton , J. R. M. Lhermitte , F. Livet , F. Ehrburger-Dolle

For image denoising problems, the structure tensor total variation (STV)-based models show good performances when compared with other competing regularization approaches. However, the STV regularizer does not couple the local information of…

最优化与控制 · 数学 2024-04-05 Xiuhan Sheng , Lijuan Yang , Jingya Chang

The total generalized variation extends the total variation by incorporating higher-order smoothness. Thus, it can also suffer from similar discretization issues related to isotropy. Inspired by the success of novel discretization schemes…

数值分析 · 数学 2023-03-17 Lea Bogensperger , Antonin Chambolle , Alexander Effland , Thomas Pock

Estimation of Markov Random Field and covariance models from high-dimensional data represents a canonical problem that has received a lot of attention in the literature. A key assumption, widely employed, is that of {\em sparsity} of the…

最优化与控制 · 数学 2018-05-16 Davoud Ataee Tarzanagh , George Michailidis

We present the experimental studies of highly strained soft bidisperse granular systems made of hyperelastic and plastic particles. We explore the behavior of granular matter deep in the jammed state from local field measurement from the…

软凝聚态物质 · 物理学 2019-10-30 Thi-Lo Vu , Jonathan Barés

Predicting the behaviour of complex systems is one of the main goals of science. An important example is plastic deformation of micron-scale crystals, a process mediated by collective dynamics of dislocations, manifested as broadly…

材料科学 · 物理学 2022-06-03 Marcin Mińkowski , David Kurunczi-Papp , Lasse Laurson