Zobrazeno 1 - 10
of 97
pro vyhledávání: '"76D17"'
The Voigt regularization is a technique used to model turbulent flows, offering advantages such as sharing steady states with the Navier-Stokes equations and requiring no modification of boundary conditions; however, the parabolic dissipative charact
Externí odkaz:
http://arxiv.org/abs/2410.23492
Autor:
Dolce, Michele, Gallay, Thierry
We consider the evolution of a viscous vortex dipole in $R^2$ originating from a pair of point vortices with opposite circulations. At high Reynolds number $Re >> 1$, the dipole can travel a very long way, compared to the distance between the vortex
Externí odkaz:
http://arxiv.org/abs/2407.13562
Autor:
Olshanskii, Maxim A., Rebholz, Leo G.
This paper extends a low-rank tensor decomposition (LRTD) reduced order model (ROM) methodology to simulate viscous flows and in particular to predict a smooth branch of solutions for the incompressible Navier-Stokes equations. Additionally, it enhan
Externí odkaz:
http://arxiv.org/abs/2405.03796
Clogging of microchannels due to particle adhesion on the walls is a serious problem in many industrial processes. As such, the service life of microfluidic systems is determined by their ability to maintain flow without interruption over a long peri
Externí odkaz:
http://arxiv.org/abs/2312.05539
We consider the incompressible axisymmetric Navier-Stokes equations with swirl as an idealized model for tornado-like flows. Assuming an infinite vortex line which interacts with a boundary surface resembles the tornado core, we look for stationary s
Externí odkaz:
http://arxiv.org/abs/2311.10575
We consider an infinite vortex line in a fluid which interacts with a boundary surface as a simplified model for tornadoes. We study self-similar solutions for stationary axisymmetric Navier-Stokes equations and investigate the types of motion which
Externí odkaz:
http://arxiv.org/abs/2301.11090
The coupling interactions between deformable structures and unsteady fluid flows occur across a wide range of spatial and temporal scales in many engineering applications. These fluid-structure interactions (FSI) pose significant challenges in accura
Externí odkaz:
http://arxiv.org/abs/2301.01314
Autor:
Gallay, Thierry, Sverak, Vladimir
For the incompressible Navier-Stokes equations in $R^3$ with low viscosity $\nu>0$, we consider the Cauchy problem with initial vorticity $\omega_0$ that represents an infinitely thin vortex filament of arbitrary given strength $\Gamma$ supported on
Externí odkaz:
http://arxiv.org/abs/2301.01092
Publikováno v:
J. Math. Phys. 63 (2022), 123103
We study the time evolution of a viscous incompressible fluid with axial symmetry without swirl, when the initial vorticity is very concentrated in $N$ disjoint rings. We show that in a suitable joint limit, in which both the thickness of the rings a
Externí odkaz:
http://arxiv.org/abs/2209.02666
Autor:
Qian, Zhongmin
In this paper we establish a mathematical framework which may be used to design Monte-Carlo simulations for a class of time irreversible dynamic systems, such as incompressible fluid flows, including turbulent flows in wall-bounded regions, and some
Externí odkaz:
http://arxiv.org/abs/2206.05198