RT Journal Article
ID 35ef2f5f7034126e
A1 Alfonsi, Giancarlo
A1 Lauria, Agostino 
A1 Primavera, Leonardo
T1 PROPER ORTHOGONAL FLOW MODES IN THE VISCOUS-FLUID WAVE-DIFFRACTION CASE
JF Journal of Flow Visualization and Image Processing
JO JFV
YR 2013
FD 2014-12-15
VO 20
IS 4
SP 227
OP 241
K1 diffraction of water waves
K1 surface-piercing vertical circular cylinder
K1 Navier-Stokes equations
K1 Direct Numerical Simulation
K1 Karhunen-Loeve decomposition
AB The diffraction of a wave of viscous fluid (water) impinging on a large-diameter vertical circular cylinder piercing a free surface is studied numerically. The three-dimensional time-dependent full Navier−Stokes equations in primitive variables are solved by following the Direct Numerical Simulation (DNS) approach, thus obtaining an accurate three-component velocity field through a number of time steps in the case at hand. The technique of the Karhunen−Loeve decomposition is then applied to the numerical database, and a "reduced" velocity field is reconstructed based on the three most energetic eigenfunctions of the decomposition. The results are compared with those obtained in terms of flow structures from the formerly simulated field, so unveiling the characteristics of the most energetic portion of the flow field in the case at hand.
PB Begell House
LK https://www.dl.begellhouse.com/journals/52b74bd3689ab10b,61a50b703817a2b8,35ef2f5f7034126e.html