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Robust and accurate fully implicit finite-volume schemes applied to Darcy-scale multiphase flow and transport in porous media are highly desirable. Recently, a smooth approximation of the saturation-dependent flux coefficients based on…

Numerical Analysis · Mathematics 2019-09-17 Francois P. Hamon , Bradley T. Mallison

A high-fidelity simulation of the shock/transitional boundary layer interaction caused by a 15-degrees axisymmetrical compression ramp is performed at a freestream Mach number of 5 and a transitional Reynolds number. The inlet of the…

Fluid Dynamics · Physics 2020-11-18 Mathieu Lugrin , Samir Beneddine , Colin Leclercq , Eric Garnier , Reynald Bur

The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipes with variable sections. Firstly, we detail the derivation of the mathematical model in curvilinear…

Analysis of PDEs · Mathematics 2008-12-02 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

We are interested in the multi-dimentional compressible viscoelastic flows of Oldroyd type, which is one of non-Newtonian fluids exhibiting the elastic behavior. In order to capture the damping effect of the additional deformation tensor,…

Analysis of PDEs · Mathematics 2022-08-08 Xinghong Pan , Jiang Xu , Yi Zhu

We present an experimental study on steady gravity currents advancing along a heated wall. The current is generated by a mixture of air and carbon dioxide continuously supplied at the channel inlet. To have a complete point-wise…

Recent work has found that the well-known `lift-up' mechanism is not important for, and may even inhibit, the transient growth possible on streaky wall-bounded shear flows which is believed an important process in the near-wall cycle for…

Fluid Dynamics · Physics 2025-10-16 Will Oxley , Rich Kerswell

This article presents a modelling of the formation of spanwise vorticity in the turbulent streaks of the oblique bands and spots of transitional plane Couette flow. A functional model is designed to mimic the coherent flow in the streaks.…

Fluid Dynamics · Physics 2015-12-10 Joran Rolland

We present a method for sampling microscopic configurations of a physical system distributed according to a canonical (Boltzmann-Gibbs) measure, with a constraint holding in average. Assuming that the constraint can be controlled by the…

Statistical Mechanics · Physics 2008-10-03 Jean-Bernard Maillet , Gabriel Stoltz

This paper contributes to the recent investigations of Lagrangian methods based on Voronoi meshes. The aim is to design a new conservative numerical scheme that can simulate complex flows and multi-phase problems with more accuracy than SPH…

Numerical Analysis · Mathematics 2024-10-21 Ondřej Kincl , Ilya Peshkov , Walter Boscheri

The problem of the flow trough a porous media is formulated in terms of a pressure equation, based on arguments of volume conservation which state the mechanical equilibrium between the solid and the fluid phases. In the resulting governing…

Fluid Dynamics · Physics 2018-07-19 Francisco Mandujano Carlos Málaga

We investigate the possibility that the spatial dependency of stress in generalized Newtonian flow systems is a function of the applied pressure field and the conduit geometry but not of the fluid rheology. This possibility is well…

Fluid Dynamics · Physics 2015-09-08 Taha Sochi

Steady forcing at the wall of a channel flow is studied via DNS to assess its ability of yielding reductions of turbulent friction drag. The wall forcing consists of a stationary distribution of spanwise velocity that alternates in the…

Fluid Dynamics · Physics 2015-05-14 Claudio Viotti , Maurizio Quadrio , Paolo Luchini

We consider rotating, kinematic dynamos at low magnetic Prandtl number $Pm$. We show that the inclusion of rotation leads to an increase in spatio-temporal coherence and a modification of the turbulent spectrum. These effects make the flow…

Fluid Dynamics · Physics 2018-11-06 Vassilios Dallas , Steve Tobias

The bulk circulation associated with convective clouds includes not only a region of updraft and cloudy air but also a region of compensating descent and cloud-free air and horizontal motions coupling these regions. The Kinematic…

Atmospheric and Oceanic Physics · Physics 2025-12-16 Matthew R. Igel , Joseph A. Biello , Adele L. Igel

As shown by Wrobel et al. (2017), the hydraulically induced tangential traction on fracture walls changes local displacement and stress fields. This resulted in the formulation of a new hydraulic fracture (HF) propagation condition based on…

Soft Condensed Matter · Physics 2017-10-04 Monika Perkowska , Andrea Piccolroaz , Michal Wrobel , Gennady Mishuris

This work is dedicated to providing a detailed account of the flow dynamics in the closure region of an internal ship air cavity. A geometrically simple multiwave test cavity is considered, and a simulation of the flow is conducted using…

Fluid Dynamics · Physics 2020-07-03 Timofey Mukha , Rickard E. Bensow

We propose a Navier-Stokes-driven analysis of the mean and fluctuating wall shear stress (WSS) applied to turbulent channel flow data from direct numerical simulations at friction Reynolds numbers up to $Re_\tau\approx 2000$. Starting from…

Fluid Dynamics · Physics 2026-02-05 Le Yin , Yongyun Hwang , John Christos Vassilicos

Wall-pressure fluctuations in turbulent boundary layers drive flow-induced noise, structural vibration, and hydroacoustic disturbances, especially in underwater and aerospace systems. Accurate prediction of their wavenumber-frequency…

Fluid Dynamics · Physics 2025-11-18 Xiantao Fan , Meet Hemant Parikh , Yi Liu , Xin-Yang Liu , Junyi Guo , Meng Wang , Jian-Xun Wang

Turbulent channel flow controlled by spanwise wall oscillations is studied using direct numerical simulations to improve how spanwise forcing reduces skin-friction drag. Harmonic wall oscillations generate a periodic transverse Stokes layer…

Fluid Dynamics · Physics 2026-04-15 Maurizio Quadrio , Federica Gattere , Marco Castelletti , Alessandro Chiarini

A problem on propagation of waves in deformable shells with flowing liquid is very urgent in connection with wide use of liquid transportation systems in living organisms and technology. It is necessary to consider shell motion equations…

Mathematical Physics · Physics 2009-06-18 V. Yu. Babanly