Results 11 to 20 of about 16,122 (222)

A new uncoupled formulation of the 2-D velocity-vorticity system

Applied Mathematics Letters, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, J.
exaly   +4 more sources

Implementation of the spectral element discretization of the nonstationary velocity–vorticity–pressure Stokes formulation

Boundary Value Problems
This paper deals with the resolution of the time-dependent velocity–vorticity–pressure formulation of Stokes problem in a two- and three-dimensional domain. The discretization is based on the spectral element method with respect to the space variable and
Nejmeddine Chorfi, Henda Ouertani
doaj   +4 more sources

Velocity-Vorticity Formulation for 2D Natural Convection in an Inclined Cavity by the DQ Method

Journal of Mechanics, 2007
AbstractThe aim of this paper attempts to apply the differential quadrature (DQ) method for solving two-dimensional natural convection in an inclined cavity. The velocity-vorticity formulation is used to represent the mass, momentum, and energy conservations of the fluid medium in an inclined cavity.
D L Young
exaly   +3 more sources

Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity [PDF]

Calcolo, 2021
18 ...
Verónica Anaya, Rubén Caraballo, Bryan Gómez-Vargas, David Mora, Ricardo Ruiz-Baier   +4 more
openaire   +6 more sources

Global Existence and Uniqueness of The Inviscid Velocity-Vorticity Model of The g-Navier-Stokes Equations

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
In this paper, we prove the global existence and uniqueness of the weak solutions to the inviscid velocity-vorticity model of the g-Navier-Stokes equations.
Meryem Kaya, Özge Kazar
doaj   +2 more sources

Velocity–vorticity–helicity formulation and a solver for the Navier–Stokes equations [PDF]

Journal of Computational Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maxim A Olshanskii, Leo G Rebholz
exaly   +3 more sources

A New Mixed Method for the Stokes Equations Based on Stress-Velocity-Vorticity Formulation

Journal of Mathematical Study, 2019
In this paper, we develop and analyze a mixed finite element method for the Stokes flow. This method is based on a stress-velocity-vorticity formulation. A new discretization is proposed: the stress is approximated using the Raviart-Thomas elements, the velocity and the vorticity by piecewise discontinuous polynomials. It is shown that if the orders of
E. Miglio, M. Penati
openaire   +3 more sources

Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations

Electronic Research Archive, 2021
28 pages, 8 figures, 2 ...
Adam Larios, Leo G Rebholz, Duygu VARGÜN   +2 more
exaly   +4 more sources

An augmented velocity–vorticity–pressure formulation for the Brinkman equations

International Journal for Numerical Methods in Fluids, 2015
SummaryThis paper deals with the analysis of a new augmented mixed finite element method in terms of vorticity, velocity, and pressure, for the Brinkman problem with nonstandard boundary conditions. The approach is based on the introduction of Galerkin least‐squares terms arising from the constitutive equation relating the aforementioned unknowns and ...
Anaya V., Gatica GN, Mora D., Ruiz-Baier, R   +3 more
openaire   +5 more sources

Two-Dimensional Incompressible Flows by Velocity-Vorticity Formulation and Finite Element Method [PDF]

Journal of Mechanics, 2001
ABSTRACTIn this study, the motion of incompressible viscous fluid in a two-dimensional domain is solved by the finite element method using the velocity-vorticity formulation. To demonstrate the model feasibility, first of all the steady Stokes flow in a square cavity are computed.
Der-Chang Lo, Der-Liang Young
openaire   +2 more sources