Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/33284
Title: Development of Gradient Smoothing Operations and Application to Biological Systems
Authors: LI QUAN BING ERIC
Keywords: Gradient smoothing operation, Numerical method, Weak form, Strong form, Fluid-structure interaction, Finite element method
Issue Date: 16-Dec-2011
Source: LI QUAN BING ERIC (2011-12-16). Development of Gradient Smoothing Operations and Application to Biological Systems. ScholarBank@NUS Repository.
Abstract: This thesis focuses on the development of gradient smoothing operations in weak and strong form and the application of these methods to model biological systems. The traditional finite element method (FEM) has some limitations such as ?overly-stiff? phenomenon and rigid reliance on elements. Through the gradient smoothing operations in the Galerkin weak form, the stiffness of FEM model can be reduced. Inspired by the attractive features of gradient smoothing operations in the Galerkin weak form, the gradient smoothing operations in strong form governing equations for fluid problems are proposed: piecewise linear gradient smoothing method (PL-GSM) and alpha gradient smoothing method (aGSM). Finally, a novel immersed gradient smoothing method (IGSM) that combines the gradient smoothing operation in weak and strong form is developed in this thesis to solve fluid structure interaction problems. All the numerical results in the gradient smoothing operations of weak and strong form are remarkably stable, accurate and robust.
URI: http://scholarbank.nus.edu.sg/handle/10635/33284
Appears in Collections:Ph.D Theses (Open)

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