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Journal of Flow Visualization and Image Processing
SJR: 0.161 SNIP: 0.312 CiteScore™: 0.5

ISSN Print: 1065-3090
ISSN Online: 1940-4336

Journal of Flow Visualization and Image Processing

DOI: 10.1615/JFlowVisImageProc.2015013508
pages 227-241

PROPER ORTHOGONAL FLOW MODES IN THE VISCOUS-FLUID WAVE-DIFFRACTION CASE

Giancarlo Alfonsi
Fluid Dynamics Laboratory, Universita della Calabria, Via P. Bucci 42b, 87036 Rende (Cosenza), Italy
Agostino Lauria
Fluid Dynamics Laboratory, Universita della Calabria, Via P. Bucci 42b, 87036 Rende, Cosenza, Italy
Leonardo Primavera
Fluid Dynamics Laboratory, Universita della Calabria, Via P. Bucci, Cubo 42b, 87036 Rende (Cosenza), Italy

ABSTRACT

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.


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