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

Simulation of a 2D Channel Flow Around a Square Obstacle with Lattice-Boltzmann (BGK) Automata

1998 ◽  
Vol 09 (08) ◽  
pp. 1129-1141 ◽  
Author(s):  
J. Bernsdorf ◽  
Th. Zeiser ◽  
G. Brenner ◽  
F. Durst
Keyword(s):  
Flow Field ◽  
Lattice Boltzmann ◽  
Incompressible Flows ◽  
Focal Point ◽  
Reynolds Numbers ◽  
Time Dependent ◽  
Blockage Ratio ◽  
Two Dimensional ◽  
Viscous Incompressible Flows ◽  
Turbulent Flow Field

Results for time-dependent, viscous, incompressible flows were investigated using the lattice-Boltzmann (BGK) automata. The decay of a synthetic turbulent flow field and the time evolution of an initial vortex were simulated for validation purposes. The focal point was the investigation of the instationary flow around a square obstacle in a two-dimensional channel for a range of Reynolds numbers between 80 and 300 and a blockage ratio of 0.125. The Strouhal number was measured for this case and found to be in the range of data given in the literature.

Number of Modes Governing Two-Dimensional Viscous, Incompressible Flows

1983 ◽  
Vol 50 (14) ◽  
pp. 1031-1034 ◽  
Author(s):  
C. Foias ◽  
O. P. Manley ◽  
R. Temam ◽  
Y. M. Treve
Keyword(s):  
Incompressible Flows ◽  
Two Dimensional ◽  
Viscous Incompressible Flows

scholarly journals Stratified Kelvin-Helmholtz turbulence of compressible shear flows

2018 ◽  
Author(s):  
Romit Maulik ◽  
Omer San
Keyword(s):  
Power Density ◽  
Spatial Resolution ◽  
Shear Flows ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Structure Functions ◽  
Compressible Turbulence ◽  
Power Density Spectrum ◽  
Two Dimensional ◽  
Density Spectrum

Abstract. We study the scaling laws and structure functions of stratified shear flows by performing high-resolution numerical simulations of inviscid compressible turbulence induced by Kelvin-Helmholtz instability. An implicit large eddy simulation approach is adapted to solve our conservation laws for both two-dimensional (with a spatial resolution of 16,3842) and three-dimensional (with a spatial resolution of 5123) configurations utilizing different compressibility characteristics such as shocks. For three-dimensional turbulence, we find that both kinetic energy and density-weighted energy spectra follow the classical Kolmogorov k−5/3 inertial scaling. This phenomenon is observed due to the fact that the power density spectrum of three-dimensional turbulence yields the same k−5/3 scaling. However, we demonstrate that there is a significant difference between these two spectra in two-dimensional turbulence since the power density spectrum flattens to k−1/4. This flattening may be assumed to be a reason for the k−7/3 scaling observed in the two-dimensional density-weight kinetic every spectra for high compressibility as compared to the k−3 scaling traditionally assumed with incompressible flows. Further inquiries are made to validate the statistical behavior of the various configurations studied through the use of second and third order velocity structure functions where it is noticed that scaling behavior differs between the two- and three-dimensional cases wherein only the latter is seen to follow trends from K41 theory.

Two-Dimensional Viscous Incompressible Flows in a Porous Medium

2006 ◽  
Vol 9 (6) ◽  
pp. 591-596 ◽  
Author(s):  
A. M. Siddiqui ◽  
S. Islam ◽  
Q. K. Ghori
Keyword(s):  
Porous Medium ◽  
Incompressible Flows ◽  
Two Dimensional ◽  
Viscous Incompressible Flows
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