Results 201 to 210 of about 16,122 (222)
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A Comparison of Velocity-Vorticity and Stream Function-Vorticity Formulations for Pr=0
1990A comparison is made of solutions obtained by the velocity-vorticity and stream function-vorticity formulations of the governing equations for the case of a rigid-rigid cavity with Pr = 0. A uniform mesh of 41 × 161 was used in both formulations. The velocity-vorticity method predicts more accurate velocity components but at a higher computational cost.
M. Behnia +3 more
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A New Formulation of the Three-dimensional Velocity-Vorticity System in Viscous Incompressible Flow
ZAMM, 1999Summary: We present a formulation of the system of equations that governs incompressible viscous flows, in terms of the velocity and vorticity fields. Such formulation incorporates a set of boundary conditions particularly suitable for the uncoupled solution of this system.
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A Velocity-Vorticity Finite Element Formulation of the Compressible Navier-Stokes Equations
1988The 2-D compressible Navier-Stokes equations are solved by a velocity-vorticity (u,v,ω) formulation using a finite element approach. The (u,v,ω) formulation can be considered a natural extension of the stream function-vorticity one, but less complex to apply to 3-D flows.
G. Guevremont +3 more
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Journal of Engineering Mechanics, 2006
This paper presents the development of a novel numerical scheme to study solitary wave phenomena using velocity–vorticity formulation instead of the primitive variable (velocity-pressure) form for the Navier–Stokes equations. The free surface boundary conditions are accordingly modified to obtain the equations in the velocity and vorticity form without
D. C. Lo, D. L. Young
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This paper presents the development of a novel numerical scheme to study solitary wave phenomena using velocity–vorticity formulation instead of the primitive variable (velocity-pressure) form for the Navier–Stokes equations. The free surface boundary conditions are accordingly modified to obtain the equations in the velocity and vorticity form without
D. C. Lo, D. L. Young
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Vorticity Boundary Conditions for the Navier-Stokes Equation in Velocity-Vorticity Formulation
1993In this paper, vortex flows are computed by means of a finite difference resolution of the 2D unsteady incompressible Navier-Stokes equations cast in the vorticity function ω- velocity vector v formulation. The boundary conditions on the function ω (i.e the definition of ω as the curl of the velocity) are enforced by an influence matrix technique at ...
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1989
Unsteady fully three-dimensional Navier-Stokes equations of viscous incompressible flow around finite length circular cylinder placed between two circular plates is studied using finite difference numerical scheme. The algorithm uses iterative correction processes of the velocity and the vorticity fields in order to satisfy the two divergence free ...
W. Labidi, L. Ta Phuoc
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Unsteady fully three-dimensional Navier-Stokes equations of viscous incompressible flow around finite length circular cylinder placed between two circular plates is studied using finite difference numerical scheme. The algorithm uses iterative correction processes of the velocity and the vorticity fields in order to satisfy the two divergence free ...
W. Labidi, L. Ta Phuoc
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International Journal of Computational Fluid Dynamics, 1998
This paper deals with the numerical study of the two-dimensional Stokes equations in terms of the velocity and the vorticity. We take one of the possible sets of boundary conditions, for which the equivalence between the standard velocity-pressure Stokes system and such velocity-vorticity formulation holds.
V. RUAS, J. ZHU
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This paper deals with the numerical study of the two-dimensional Stokes equations in terms of the velocity and the vorticity. We take one of the possible sets of boundary conditions, for which the equivalence between the standard velocity-pressure Stokes system and such velocity-vorticity formulation holds.
V. RUAS, J. ZHU
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Journal of Applied Mechanics, 2006
In this work, a novel procedure to solve the Navier-Stokes equations in the vorticity-velocity formulation is presented. The vorticity transport equation is solved as an ordinary differential equation (ODE) problem on each node of the spatial discretization.
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In this work, a novel procedure to solve the Navier-Stokes equations in the vorticity-velocity formulation is presented. The vorticity transport equation is solved as an ordinary differential equation (ODE) problem on each node of the spatial discretization.
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AIP Conference Proceedings, 2007
A novel algorithm for the simulation of laminar viscous flows by solving of 3D velocity‐vorticity formulation of the Navier‐Stokes equations is presented. The algorithm employs a combination of a subdomain boundary element method (BEM) and single domain BEM. The subdomain BEM is used to solve the kinematics and vorticity transport equations.
Jure Ravnik +5 more
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A novel algorithm for the simulation of laminar viscous flows by solving of 3D velocity‐vorticity formulation of the Navier‐Stokes equations is presented. The algorithm employs a combination of a subdomain boundary element method (BEM) and single domain BEM. The subdomain BEM is used to solve the kinematics and vorticity transport equations.
Jure Ravnik +5 more
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Multigrid and ADI techniques to solve unsteady 3D viscous flow in velocity-vorticity formulation
1992Multigrid and ADI methods were used to solve unsteady 3D Navier-Stokes equations in Velocity-Vorticity formulation, for the lid-driven cavity test case of spanwise aspect ratio equal to 3:1, at a Reynolds number Re equal to 3200. Results are given for the characteristic times T=50,100,200.
D. Tromeur-Dervout, L. Ta Phuoc
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