scholarly journals Spatial Decay of the Vorticity Field of Time-Periodic Viscous Flow Past a Body

2021 ◽  
Author(s):  
Thomas Eiter ◽  
Giovanni P. Galdi
Keyword(s):  
Viscous Flow ◽  
Spatial Decay ◽  
Vorticity Field ◽  
Flow Past ◽  
Time Periodic

Viscous Flow Past a NACA0012 Foil Below a Free Surface Through the Delta-Plus-SPH Method

2018 ◽  
Vol 16 (02) ◽  
pp. 1846007 ◽  
Author(s):  
P. N. Sun ◽  
F. R. Ming ◽  
A. M. Zhang ◽  
B. Wang
Keyword(s):  
Free Surface ◽  
Viscous Flow ◽  
Negative Pressure ◽  
Flow Region ◽  
Numerical Results ◽  
Vorticity Field ◽  
Flow Past ◽  
Numerical Noise ◽  
Tensile Instability ◽  
Sph Model

The present work is dedicated to the modeling of viscous flow past a NACA0012 foil fixed in a current below a free surface. To this end, the [Formula: see text]-smoothed-particle hydrodynamics (SPH) model has been adopted. This SPH model prevents the inception of the numerical tensile instability in the flow region characterized by negative pressure since a tensile instability control (TIC) has been included. In the TIC, a pressure differencing formulation (PDF) has been adopted for the momentum equation in the flow region characterized by negative pressure. In order to completely remove the numerical noise in the vorticity field, in this work, the PDF is also applied for the region with positive pressure, but except for the free-surface region in order to ensure the free surface stability when wave breaking occurs. The mechanism of PDF being able to eliminate the numerical noise in the vorticity field is also briefly analyzed. In order to reduce the nonconservation of total momentum induced by the PDF, a particle-shifting technique (PST) is implemented in each time step for regularizing the particle position. In the numerical results, [Formula: see text]-SPH results are validated by the experimental data and other verified numerical results. Improvements of the results of [Formula: see text]-SPH with PDF with respect to the ones without using PDF are demonstrated. Parametrical studies based on the [Formula: see text]-SPH model regarding the breaking and non-breaking waves generated by the flow past a submerged foil are also carried out.

Viscous flow past circular cylinders

1973 ◽  
Vol 1 (1) ◽  
pp. 59-71 ◽  
Author(s):  
F. Nieuwstadt ◽  
H.B. Keller
Keyword(s):  
Viscous Flow ◽  
Circular Cylinders ◽  
Flow Past

Flow past periodic arrays of spheres at low Reynolds number

1997 ◽  
Vol 335 ◽  
pp. 189-212 ◽  
Author(s):  
HONGWEI CHENG ◽  
GEORGE PAPANICOLAOU
Keyword(s):  
Reynolds Number ◽  
Viscous Flow ◽  
Small Volume ◽  
Volume Fraction ◽  
Periodic Array ◽  
Periodic Arrays ◽  
Flow Past ◽  
Random Array ◽  
Single Sphere ◽  
Small Volume Fraction

We calculate the force on a periodic array of spheres in a viscous flow at small Reynolds number and for small volume fraction. This generalizes the known results for the force on a periodic array due to Stokes flow (zero Reynolds number) and the Oseen correction to the Stokes formula for the force on a single sphere (zero volume fraction). We use a generalization of Hasimoto's approach that is based on an analysis of periodic Green's functions. We compare our results to the phenomenological ones of Kaneda for viscous flow past a random array of spheres.

Viscous Flow Past a Quarter-Infinite Plate

1961 ◽  
Vol 28 (1) ◽  
pp. 1-10 ◽  
Author(s):  
K. STEWARTSON
Keyword(s):  
Viscous Flow ◽  
Infinite Plate ◽  
Flow Past
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