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In this paper, we propose an adaptive finite difference scheme in order to numerically solve total variation type problems for image processing tasks. The automatic generation of the grid relies on indicators derived from a local estimation…

数值分析 · 数学 2024-10-18 Thomas Jacumin , Andreas Langer

It is well known that thermal insulation is a leading strategy for reducing energy consumption associated to heating or cooling processes in buildings. Nevertheless, building insulation can generate high expenditures so that the selection…

计算工程、金融与科学 · 计算机科学 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

This paper employs the theoretical framework developed by Luhar et al. (J. Fluid Mech., 768, 415-441) to consider the design of compliant walls for turbulent skin friction reduction. Specifically, the effects of simple spring-damper walls…

流体动力学 · 物理学 2016-08-24 M. Luhar , A. S. Sharma , B. J. McKeon

This paper presents an end-to-end differentiable algorithm for robust and detail-preserving surface normal estimation on unstructured point-clouds. We utilize graph neural networks to iteratively parameterize an adaptive anisotropic kernel…

计算机视觉与模式识别 · 计算机科学 2020-06-24 Jan Eric Lenssen , Christian Osendorfer , Jonathan Masci

We develop stochastic mixed finite element methods for spatially adaptive simulations of fluid-structure interactions when subject to thermal fluctuations. To account for thermal fluctuations, we introduce a discrete fluctuation-dissipation…

介观与纳米尺度物理 · 物理学 2023-02-28 Pat Plunkett , Jon Hu , Chris Siefert , Paul J. Atzberger

This study uses high-fidelity simulations (DNS or LES) and experimental datasets to analyse the effect of non-equilibrium streamwise mean pressure gradients (adverse or favourable), including attached and separated flows, on the statistics…

流体动力学 · 物理学 2024-11-20 Saurabh Pargal , Junlin Yuan , Stephane Moreau

In microscopic mechanical systems interactions between elastic structures are often mediated by the hydrodynamics of a solvent fluid. At microscopic scales the elastic structures are also subject to thermal fluctuations. Stochastic…

软凝聚态物质 · 物理学 2023-02-28 Paul J. Atzberger

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems on unstructured irregular grids, which simultaneously gives an approximation of the solution and of its gradient. In the case of simplicial meshes, the…

数值分析 · 数学 2016-08-16 Jérôme Droniou , Robert Eymard

Turbulent flows over blunt bodies with distributed roughness present a class of problems relevant to hypersonic atmospheric entry systems. However, accurate predictions of shear stress on such bodies remains elusive. This work presents a…

流体动力学 · 物理学 2025-08-22 Mateus A. R. Braga , Robyn L. Macdonald

Based on previous work we extend a primal-dual semi-smooth Newton method for minimizing a general $L^1$-$L^2$-$TV$ functional over the space of functions of bounded variations by adaptivity in a finite element setting. For automatically…

数值分析 · 数学 2025-02-19 Martin Alkämper , Stephan Hilb , Andreas Langer

The variational static formulation contributed in [International Journal of Engineering Science 143, 73-91 (2019)] is generalized in the present paper to model axial and flexural dynamic behaviors of elastic nano-beams by nonlocal strain…

We present an approach to simulate the 3D isotropic elastic wave propagation using nonuniform finite difference discretization on staggered grids. Specifically, we consider simulation domains composed of layers of uniform grids with…

数值分析 · 数学 2022-09-13 Longfei Gao , Omar Ghattas , David Keyes

Within the framework of building energy assessment, this article proposes to use a derivative based sensitivity analysis of heat transfer models in a building envelope. Two, global and local, estimators are obtained at low computational…

计算工程、金融与科学 · 计算机科学 2021-11-18 Ainagul Jumabekova , Julien Berger , Aurélie Foucquier

We describe a short, reproducible workflow for applying finite differences on nonuniform grids determined by a positive weight function g. The grid is obtained by equidistribution, mapping uniform computational coordinates $\xi\in[0,1]$ to…

数值分析 · 数学 2025-08-06 Mário B. Amaro

In this work, a non-equilibrium wall model is proposed for the prediction of turbulent flows experiencing adverse pressure gradients, including separated flow regimes. The mean-flow nonequilibrium is identified by comparing two…

流体动力学 · 物理学 2024-07-17 Rahul Agrawal , Sanjeeb T. Bose , Parviz Moin

A fully-convolutional neural-network model is used to predict the streamwise velocity fields at several wall-normal locations by taking as input the streamwise and spanwise wall-shear-stress planes in a turbulent open channel flow. The…

流体动力学 · 物理学 2020-08-26 L. Guastoni , M. P. Encinar , P. Schlatter , H. Azizpour , R. Vinuesa

Unmanned ground vehicles operating in complex environments must adaptively adjust to modeling uncertainties and external disturbances to perform tasks such as wall following and obstacle avoidance. This paper introduces an adaptive control…

系统与控制 · 电气工程与系统科学 2025-03-04 Hengye Yang , Yanxiao Chen , Zexuan Fan , Lin Shao , Tao Sun

The variance and spectra of wall-normal velocities are investigated for direct numerical simulations of turbulent flow in a channel, pipe, and zero-pressure-gradient boundary layer across a decade of friction Reynolds numbers. Spectra along…

流体动力学 · 物理学 2026-04-22 Michael Heisel , Rahul Deshpande , Gabriel G. Katul

Grids are a general representation for capturing regularly-spaced information, but since they are uniform in space, they cannot dynamically allocate resolution to regions with varying levels of detail. There has been some exploration of…

图形学 · 计算机科学 2026-01-12 Julian Knodt , Seung-Hwan Baek

Accurate subgrid-scale (SGS) modeling remains a major challenge in large eddy simulation (LES), particularly for wall-bounded turbulent flows with strong near-wall anisotropy. This study proposes a novel SGS model based on Liutex theory,…

流体动力学 · 物理学 2025-12-18 Jiawei Chen , Yifei Yu , Chaoqun Liu
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