Low - Dimensional Components of Flows with Large Free/Moving - Surface Motion

[+] Author and Article Information
Yi Zhang

Metrum Research Group, Tariffville, CT 06081 USA

Solomon Yim

School of Civil & Construction Engineering, Oregon State University, Corvallis, OR 97331, USA

1Corresponding author.

ASME doi:10.1115/1.4041016 History: Received September 18, 2014; Revised July 27, 2018


Flow systems with highly nonlinear free/moving surface motion are common in engineering applications, such as wave impact and fluid-structure interaction problems. In order to reveal the dynamics of such flows, as well as provide a reduced-order modeling (ROM) for large-scale applications, we propose a proper orthogonal decomposition (POD) technique that couples the velocity flow field and the level-set function field, as well as a proper normalization for the snapshots data so that the low-dimensional components of the flow can be retrieved with a priori knowledge of equal distribution of the total variance between velocity and level-set function data. Through numerical examples of a sloshing problem and a water entry problem, we show that the low-dimensional components obtained provide an efficient and accurate approximation of the flow field Moreover, we show that the velocity contour and orbits projected on the space of the reduced basis greatly facilitate understanding of the intrinsic dynamics of the flow systems.

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