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We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta…

Fluid Dynamics · Physics 2018-09-24 Markus Uhlmann

Modelling the near-wall region of wall-bounded turbulent flows is a widespread practice to reduce the computational cost of large-eddy simulations (LESs) at high Reynolds number. As a first step towards a data-driven wall-model, a…

This work assesses several popular transformations for the velocity profile through their application to several types of non-canonical compressible wall-bounded turbulent flows. Specifically, this work explores DNS databases of…

Fluid Dynamics · Physics 2022-05-03 Tianyi Bai , Kevin P. Griffin , Lin Fu

The temporal statistics of incompressible fluid velocity and passive scalar fields in developed turbulent conditions is investigated by means of direct numerical simulations along the trajectories of self-propelled point-like probes…

Fluid Dynamics · Physics 2018-05-16 Enrico Calzavarini , Yongxiang X. Huang , François G. Schmitt , Lipo P. Wang

We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid $^4$He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian…

Fluid Dynamics · Physics 2015-03-10 Andrew W. Baggaley , Jason Laurie

Low-order virtual element methods (VEM) compute a consistent finite-strain contribution through polynomial projections and rely on stabilization to control the unresolved modes in the projector kernel. In current hyperelastic VEM practice,…

Numerical Analysis · Mathematics 2026-05-21 Paulo Akira F. Enabe , Rodrigo Provasi

We propose and analyze a finite element method for a semi-stationary Stokes system modeling compressible fluid flow subject to a Navier-slip boundary condition. The velocity (momentum) equation is approximated by a mixed finite element…

Numerical Analysis · Mathematics 2009-04-07 Kenneth H. Karlsen , Trygve K. Karper

Employing a limiting case of a conjecture for constructing piecewise separable-variables functions, the elements of the Pseudoanalytic Function Theory are used for numerically approaching solutions of the forward Dirichlet boundary value…

Mathematical Physics · Physics 2012-10-18 M. P. Ramirez T. , C. M. A. Robles G. , R. A. Hernandez-Becerril

In wall-bounded turbulence, the moment generating functions (MGFs) of the streamwise velocity fluctuations $\left<\exp(qu_z^+)\right>$ develop power-law scaling as a function of the wall normal distance $z/\delta$. Here $u$ is the…

Fluid Dynamics · Physics 2016-09-06 Xiang I. A. Yang , Charles Meneveau , Ivan Marusic , Luca Biferale

The statistical properties of Uniform Momentum Zones (UMZs) are extracted from laboratory and field measurements in rough wall turbulent boundary layers to formulate a set of stochastic models for the simulation of instantaneous velocity…

Fluid Dynamics · Physics 2024-01-15 Roozbeh Ehsani , Michael Heisel , Jiaqi Li , Vaughan Voller , Jiarong Hong , Michele Guala

We analyse the dynamics of a weakly elastic spherical particle translating parallel to a rigid wall in a quiescent Newtonian fluid in the Stokes limit. The particle motion is constrained parallel to the wall by applying a point force and a…

Fluid Dynamics · Physics 2026-01-14 Shashikant Verma , Dinesh B , Navaneeth K Marath

The rigorous simulation of stratified turbulence remains challenging due to pronounced flow anisotropy, suppressed vertical transport, and high sensitivity to numerical dissipation. This study systematically evaluates the predictive…

Fluid Dynamics · Physics 2026-05-15 Hongxuan Zhang

In this thesis, we investigate a novel local projection based stabilized conforming virtual element method for the generalized Oseen problem using equal-order element pairs on general polygonal meshes. To ensure the stability, particularly…

Numerical Analysis · Mathematics 2025-09-05 Sudheer Mishra , E Natarajan

For the gas near a solid planar wall, we propose a scaling formula for the mean free path of a molecule as a function of the distance from the wall, under the assumption of a uniform distribution of the incident directions of the molecular…

Fluid Dynamics · Physics 2019-04-12 Rafail V. Abramov

Motivated by the modeling of the spatial structure of the velocity field of three-dimensional turbulent flows, and the phenomenology of cascade phenomena, a linear dynamics has been recently proposed able to generate high velocity gradients…

A method for post-processing the velocity after a pressure projection is developed that helps to maintain stability in an under-resolved, inviscid, discontinuous element-based simulation for use in environmental fluid mechanics process…

Computational Physics · Physics 2015-12-08 Sumedh M. Joshi , Peter J. Diamessis , Derek T. Steinmoeller , Marek Stastna , Greg N. Thomsen

We introduce a novel regularization framework for the two-dimensional incompressible Euler equation that exactly preserves the transport structure of multi-phase vorticity fields. The key step is a reformulation of multi-phase vortex patch…

Analysis of PDEs · Mathematics 2026-02-03 Trinh T. Nguyen

A stochastic model is derived to predict the turbulent torque produced by a swirling flow. It is a simple Langevin process, with a colored noise. Using the unified colored noise approximation, we derive analytically the PDF of the…

Fluid Dynamics · Physics 2009-11-13 Nicolas Leprovost , Louis Marié , Bérengère Dubrulle

In this work, a transformation, which maps the mean velocity profiles of compressible wall-bounded turbulent flows to the incompressible law of the wall is proposed. Unlike existing approaches, the proposed transformation successfully…

Fluid Dynamics · Physics 2021-08-23 Kevin Patrick Griffin , Lin Fu , Parviz Moin

Gravitational settling affects particle transport in turbulent flows in two ways; explicitly, by introducing a finite settling velocity, and implicitly, by modifying how the particles interact with the flow field. For wall-bounded flows,…

Fluid Dynamics · Physics 2025-12-04 Y. Zhang , D. H. Richter , A. D. Bragg