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For autonomous driving, traversability analysis is one of the most basic and essential tasks. In this paper, we propose a novel LiDAR-based terrain modeling approach, which could output stable, complete and accurate terrain models and…

Robotics · Computer Science 2023-07-06 Hanzhang Xue , Hao Fu , Liang Xiao , Yiming Fan , Dawei Zhao , Bin Dai

This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary…

Computational Physics · Physics 2018-06-28 James E. McClure , Zhe Li , Adrian P. Sheppard , Cass T. Miller

Alternators have recently been introduced as a framework for modeling time-dependent data. They often outperform other popular frameworks, such as state-space models and diffusion models, on challenging time-series tasks. This paper…

Machine Learning · Computer Science 2025-05-20 Mohammad R. Rezaei , Adji Bousso Dieng

Recent (Bose \& Durbin, \textit{Phys. Rev. Fluids}, 1, 073602, 2016) direct numerical simulations (DNS) of adverse- and zero-pressure-gradient boundary layers beneath moderate levels of free stream turbulence ($Tu$ $\le 2\%$) revealed a…

Fluid Dynamics · Physics 2023-09-06 Rikhi Bose , Paul A. Durbin

In this note, we discuss a poorly known alternative boundary condition to the usual Neumann or `stress-free' boundary condition typically used to weaken boundary layers when diffusion is present but very small. These `diffusion-free'…

Fluid Dynamics · Physics 2024-06-19 Yufeng Lin , Rich Kerswell

The boundary element method is an efficient algorithm for simulating acoustic propagation through homogeneous objects embedded in free space. The conditioning of the system matrix strongly depends on physical parameters such as density,…

Numerical Analysis · Mathematics 2021-12-07 Elwin van 't Wout , Seyyed R. Haqshenas , Pierre Gélat , Timo Betcke , Nader Saffari

A finite-volume method for the steady, compressible, reacting, turbulent Navier-Stokes equations is developed by using a steady-state preserving splitting scheme for the stiff source terms in chemical reaction. Laminar and turbulent…

Fluid Dynamics · Physics 2026-03-31 Yalu Zhu , Feng Liu , William A. Sirignano

Turbulent boundary layers exhibit a universal structure which nevertheless is rather complex, being composed of a viscous sub-layer, a buffer zone, and a turbulent log-law region. In this letter we present a simple analytic model of…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

A turbulent boundary layer is an essential flow case of fundamental and applied fluid mechanics. However, accurate measurements of turbulent boundary layer parameters (e.g., friction velocity $u_\tau$ and wall shear $\tau_w$), are…

Neural Ordinary Differential Equations (NODEs) often struggle to adapt to new dynamic behaviors caused by parameter changes in the underlying physical system, even when these dynamics are similar to previously observed behaviors. This…

Machine Learning · Computer Science 2025-09-30 Roussel Desmond Nzoyem , David A. W. Barton , Tom Deakin

Particles moving inside a fluid near, and interacting with, invariant manifolds is a common phenomenon in a wide variety of applications. One elementary question is whether we can determine once a particle has entered a neighbourhood of an…

Dynamical Systems · Mathematics 2018-12-24 Christian Kuehn , Francesco Romano , Hendrik C. Kuhlmann

We present UniFoil, a large publicly available universal airfoil dataset based on Reynolds-averaged Navier-Stokes (RANS) simulations. It contains over 500,000 samples spanning a wide range of Reynolds and Mach numbers, capturing both…

Fluid Dynamics · Physics 2025-10-30 Rohit Sunil Kanchi , Benjamin Melanson , Nithin Somasekharan , Shaowu Pan , Sicheng He

This study presents an advanced sharp-interface immersed boundary method (IBM) integrated with the blastFOAM library on the OpenFOAM platform for high-speed compressible flow simulations. The developed solver extends the existing IBM…

Classical Physics · Physics 2026-02-18 Punit Pandey , Ankit Bansal , Krishna Mohan Singh , Yannick Hoarau

In this study, five different time-dependent incompressible non-Newtonian boundary layer models in two dimensions are investigated, including external magnetic field effects. The power law, the Casson fluid, the Oldroyd-B model, the Walter…

Fluid Dynamics · Physics 2023-11-09 Imre F. Barna , G. Bognár , L. Mátyás , K. Hriczó

We investigate a mechanism to manipulate wall-bounded flows whereby wave-like undulations of the wall topography drives the creation of bespoke longitudinal vortices. A resonant interaction between the ambient vorticity of the undisturbed…

Fluid Dynamics · Physics 2020-08-10 Andreas H. Akselsen , Simen Å. Ellingsen

For a given a normally hyperbolic invariant manifold, whose stable and unstable manifolds intersect transversally, we consider several tools and techniques to detect trajectories with prescribed itineraries: the scattering map, the…

Dynamical Systems · Mathematics 2012-04-09 Amadeu Delshams , Marian Gidea , Pablo Roldan

Historically, meteorological and climate studies have been prompted by the need for understanding precipitation to have better logistics in food production. Despite all efforts, nonlinearity in atmosphere dynamics is still a source of…

Analysis of PDEs · Mathematics 2020-07-17 Carla Victoria Valencia-Negrete

This paper presents a neural network-based turbulence modeling approach for transonic flows based on the ensemble Kalman method. The approach adopts a tensor basis neural network for the Reynolds stress representation, with modified inputs…

Fluid Dynamics · Physics 2023-05-12 Yi Liu , Xin-Lei Zhang , Guowei He

We present an analytic calculation of the layer (parallel) susceptibility at the extraordinary transition in a semi-infinite system with a flat boundary. Using the method of integral transforms put forward by McAvity and Osborn [Nucl. Phys.…

High Energy Physics - Theory · Physics 2021-01-15 M. A. Shpot

The objective of this work is to investigate the unexplored laminar-to-turbulent transition of a heated flat-plate boundary layer with a fluid at supercritical pressure. Two temperature ranges are considered: a subcritical case, where the…