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Model Order Reduction for Determining Bubble Parameters to Attain a Desired Fluid Surface Shape

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Title: Model Order Reduction for Determining Bubble Parameters to Attain a Desired Fluid Surface Shape
Author: My-Ha, D.; Lim, K. M.; Khoo, Boo Cheong; Willcox, Karen E.
Issue Date: 2005-01
Abstract: In this paper, a new methodology for predicting fluid free surface shape using Model Order Reduction (MOR) is presented. Proper Orthogonal Decomposition combined with a linear interpolation procedure for its coefficient is applied to a problem involving bubble dynamics near to a free surface. A model is developed to accurately and efficiently capture the variation of the free surface shape with different bubble parameters. In addition, a systematic approach is developed within the MOR framework to find the best initial locations and pressures for a set of bubbles beneath the quiescent free surface such that the resultant free surface attained is close to a desired shape. Predictions of the free surface in two-dimensions and three-dimensions are presented.
URI: http://hdl.handle.net/1721.1/7535
Series/Report no.: High Performance Computation for Engineered Systems (HPCES);
Keywords: Bubble Dynamics, Model Order Reduction, Proper Orthogonal Decomposition

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