JJ Monaghan - European Journal of Mechanics-B/Fluids, 2011 - Elsevier
The aim of this paper is to describe a turbulence model for the particle method Smoothed Particle Hydrodynamics (SPH). The model makes few assumptions, conserves linear and …
Abstract The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D Navier-Stokes equations for the purpose of …
F Sabetghadam, A Jafarpour - Applied Mathematics and Computation, 2012 - Elsevier
In order to improve the dynamics and stability of the POD-Galerkin models of strongly-stiff systems, an α-like regularization is suggested and assessed in the present article. In this …
A Farhat, E Lunasin, ES Titi - Partial differential equations arising …, 2019 - books.google.com
Data assimilation is a methodology to estimate weather or ocean variables by combining (synchronizing) information from observational data with a numerical dynamical (forecast) …
We consider a general family of regularized Navier–Stokes and Magnetohydrodynamics (MHD) models on n-dimensional smooth compact Riemannian manifolds with or without …
A Linke, LG Rebholz, NE Wilson - Journal of Mathematical Analysis and …, 2011 - Elsevier
It was recently proven in Case et al.(2010)[2] that, under mild restrictions, grad-div stabilized Taylor–Hood solutions of Navier–Stokes problems converge to the Scott–Vogelius solution …
MA Ebrahimi, E Lunasin - The IMA Journal of Applied …, 2013 - academic.oup.com
In this paper, we investigate the advantages of the 2D Navier–Stokes–Voight (NSV) turbulence model for use in algorithms and explore its limits in the context of image …
State-of-the-art global ocean circulation models used in climate studies are only passing the edge of becoming “eddy-permitting” or barely eddy-resolving. Such models commonly suffer …
Y Cao, ES Titi - Numerical Functional Analysis and Optimization, 2009 - Taylor & Francis
Rates of convergence of solutions of various two-dimensional α-regularization models, subject to periodic boundary conditions, toward solutions of the exact Navier–Stokes …