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Title: Development of Smoothed Methods for Fluid Structure Interactions
Keywords: smoothed finite element method, gradient smoothing method, weak/strong form, arbitrary Lagrangian-Eulerian (ALE), fluid structure interaction (FSI)
Issue Date: 22-Aug-2012
Source: WANG SHENG (2012-08-22). Development of Smoothed Methods for Fluid Structure Interactions. ScholarBank@NUS Repository.
Abstract: A family of smoothed methods based on the smoothed theory in G space has been proposed for solving pure solid and fluid flow problems. Interesting properties, e.g. super convergence, high convergence rate and accuracy, are observed for these smoothed methods in comparing with the conventional ones. Some of these properties have already been mathematically proven. However, some others are just concluded from various numerical tests. The corresponding theoretical aspects that why they work so well and how much well they can still be are still not clear. This thesis gives a further exploration of two typical smoothed methods, i.e. the edge-based smoothed finite element method with linear triangular mesh (ES-FEM-T3) and gradient smoothing method (GSM), in solving the pure solid and fluid flow problems, and for the first time to couple these two valid smoothed methods for solving challenging FSI problems. Hence, the primary objectives of the present work can be summarized into the following three parts: 1) formulate the implicit/explicit ES-FEM-T3 schemes and the first time to explore their performances in solving practical engineering problems in solid mechanics; 2) develop the novel GSM/ALE method to solve the fluid flows over moving mesh; 3) propose the novel FSI scheme and the first time to couple the GSM/ALE with ES-FEM-T3 for solving FSI problems. The success of coupling GSM/ALE with ES-FEM-T3 for solving FSI problems should be a good start for implementing the family of smoothed methods in solving more complex cross-area problems. Numerical innovations created in the solid, fluid and FSI formulations could provide further understanding of the characteristics of the smoothed methods and fundamentals of the smoothed theory.
Appears in Collections:Ph.D Theses (Open)

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