scholarly journals A new diffusion scheme in vortex methods for three-dimensional incompressible flows

1996 ◽  
Vol 1 ◽  
pp. 587-599
Author(s):  
S. Shankar ◽  
L. L. van Dommelen
Keyword(s):  
Incompressible Flows ◽  
Three Dimensional ◽  
Vortex Methods ◽  
Diffusion Scheme

A Comparison of Spectral and Vortex Methods in Three-Dimensional Incompressible Flows

2002 ◽  
Vol 175 (2) ◽  
pp. 702-712 ◽  
Author(s):  
Georges-Henri Cottet ◽  
Bertrand Michaux ◽  
Sepand Ossia ◽  
Geoffroy VanderLinden
Keyword(s):  
Incompressible Flows ◽  
Three Dimensional ◽  
Vortex Methods

scholarly journals Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

2013 ◽  
Vol 45 (3) ◽  
pp. 1871-1885 ◽  
Author(s):  
C. Bardos ◽  
M. C. Lopes Filho ◽  
Dongjuan Niu ◽  
H. J. Nussenzveig Lopes ◽  
E. S. Titi
Keyword(s):  
Symmetry Breaking ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Viscous Incompressible Flows

Node-based parallel computing of three-dimensional incompressible flows using the free mesh method

2004 ◽  
Vol 28 (5) ◽  
pp. 425-441 ◽  
Author(s):  
Toshimitsu Fujisawa ◽  
Satoshi Ito ◽  
Masakazu Inaba ◽  
Genki Yagawa
Keyword(s):  
Parallel Computing ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Mesh Method

A Calculation Scheme for Three-Dimensional Viscous Incompressible Flows

1987 ◽  
Vol 109 (4) ◽  
pp. 345-352 ◽  
Author(s):  
M. Reggio ◽  
R. Camarero
Keyword(s):  
Incompressible Flows ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Numerical Data ◽  
Momentum Balance ◽  
Navier Stokes ◽  
Test Cases ◽  
Pressure Gradients ◽  
Navier Stokes Equations

A numerical procedure to solve three-dimensional incompressible flows in arbitrary shapes is presented. The conservative form of the primitive-variable formulation of the time-dependent Navier-Stokes equations written for a general curvilinear coordiante system is adopted. The numerical scheme is based on an overlapping grid combined with opposed differencing for mass and pressure gradients. The pressure and the velocity components are stored at the same location: the center of the computational cell which is used for both mass and the momentum balance. The resulting scheme is stable and no oscillations in the velocity or pressure fields are detected. The method is applied to test cases of ducting and the results are compared with experimental and numerical data.

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