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Gradient Smoothing is an efficient approach to reducing noise in gradient-based model explanation method. SmoothGrad adds Gaussian noise to mitigate much of these noise. However, the crucial hyper-parameter in this method, the variance…

机器学习 · 计算机科学 2025-10-23 Linjiang Zhou , Chao Ma , Zepeng Wang , Libing Wu , Xiaochuan Shi

Stochastic Gradient Descent (SGD) is a widely deployed optimization procedure throughout data-driven and simulation-driven disciplines, which has drawn a substantial interest in understanding its global behavior across a broad class of…

最优化与控制 · 数学 2021-04-02 Vivak Patel , Shushu Zhang

Fuzzy Transform (F-transform) has been introduced as an approximation method which encompasses both classical transforms and approximation methods studied in fuzzy modeling and fuzzy control. It has been proved that, under some conditions,…

数值分析 · 数学 2020-11-24 Rafael Aleixo

We study the sub-grid scale characteristics of a vorticity-transport-based approach for large-eddy simulations. In particular, we consider a multi-dimensional upwind scheme for the vorticity transport equations and establish its properties…

流体动力学 · 物理学 2021-02-05 Daniel Foti , Karthik Duraisamy

Lattice Boltzmann method (LBM) simulations of incompressible flows are nowadays common and well-established. However, for compressible turbulent flows with strong variable density and intrinsic compressibility effects, results are…

流体动力学 · 物理学 2024-12-13 Philipp Spelten , Dominik Wilde , Mario Christopher Bedrunka , Dirk Reith , Holger Foysi

During the phase of landing, an important aircraft-noise source emanates from the interaction of the landing-gear wake with the deployed flap. In the present work we cast this problem in an academic framework, by studying a simplified…

流体动力学 · 物理学 2026-05-22 Marios I. Spiropoulos , Filipe R. Amaral , Florent Margnat , Vincent Valeau , Peter Jordan

This paper introduces the first attempt to employ a localized meshless method to analyze time-harmonic acoustic wave propagation on curved surfaces with periodic holes/inclusions. In particular, the generalized finite difference method is…

数值分析 · 数学 2023-07-20 Wen Hu , Zhuojia Fu , Leevan Ling

We introduce a novel mesoscopic computational model based on a multiphase-multicomponent lattice Boltzmann method for the simulation of self-phoretic particles in the presence of liquid-liquid interfaces. Our model features fully resolved…

软凝聚态物质 · 物理学 2022-06-22 Lucas Palacios , Andrea Scagliarini , Ignacio Pagonabarraga

In theory, active control could be used to reduce the unwanted noise reflections from surfaces such as a submarine hull or the walls of an anechoic room. In the recent years, a real-time algorithm has been developed to this effect at the…

经典物理 · 物理学 2009-11-25 Emmanuel Friot , Alexandre Gintz

Exploring the hydrodynamic boundary of a surface by approaching a colloidal sphere and measuring the occurring drag force is a common experimental technique. However, numerous parameters like the wettability and surface roughness influence…

流体动力学 · 物理学 2015-03-13 Christian Kunert , Jens Harting

The random Fourier method (RFM) is widely employed for synthetic turbulence due to its mathematical clarity and simplicity. However, deviations remain between prescribed inputs and synthetic results, and the origin of these errors has not…

流体动力学 · 物理学 2025-10-16 Hongyuan Lin , Yi Liu , Shizhao Wang , Chun-Hian Lee

This paper deals with the investigation of flow field due to clap and fling mechanism using immersed boundary coupled with lattice Boltzmann method. The lattice Boltzmann method (LBM), an alternative to Navier Stokes solver, is used because…

流体动力学 · 物理学 2021-02-03 Pradeep Kumar S , Ashoke De , Debopam Das

The lattice Boltzmann (LB) method intrinsically links to the Boltzmann equation with the Bhatnagar-Gross-Krook collision operator; however, it has been questioned to be able to simulate noncontinuum bounded gas flows at the micro and…

计算物理 · 物理学 2022-08-24 Yong Shi

In rarefied gas flows, the spatial grid size could vary by several orders of magnitude in a single flow configuration (e.g., inside the Knudsen layer it is at the order of mean free path of gas molecules, while in the bulk region it is at a…

流体动力学 · 物理学 2021-04-02 Lei Wu

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

数值分析 · 数学 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

Coherent structures/motions in turbulence inherently give rise to intermittent signals with sharp peaks, heavy-skirt, and skewed distributions of velocity increments, highlighting the non-Gaussian nature of turbulence. That suggests that…

计算工程、金融与科学 · 计算机科学 2019-09-24 Mehdi Samiee , Ali Akhavan-Safaei , Mohsen Zayernouri

We simulated a turbulent pipe flow within the Lattice Boltzmann Method using a multiple-relaxation-time collision operator with Maxwell-Boltzmann equilibrium distribution expanded, for the sake of a more accurate description, up to the…

流体动力学 · 物理学 2024-05-21 B. Magacho , L. Moriconi , J. B. R. Loureiro

The noise generated by the friction of two rough surfaces under weak contact pressure is usually called roughness noise. The underlying vibration which produces the noise stems from numerous instantaneous shocks (in the microsecond range)…

经典物理 · 物理学 2013-10-22 Viet Hung Dang , Joël Perret-Liaudet , Julien Scheibert , Alain Le Bot

Efficient Boltzmann-sampling using first-principles methods is challenging for extended systems due to the steep scaling of electronic structure methods with the system size. Stochastic approaches provide a gentler system-size dependency at…

计算物理 · 物理学 2020-05-20 Eitam Arnon , Eran Rabani , Daniel Neuhauser , Roi Baer

With the rapid development of studies involving droplet microfluidics, drug delivery, cell detection, and microparticle synthesis, among others, many scientists have invested significant efforts to model the flow of these fluid-filled…