Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/15371
Title: Error analysis for incompressible viscous flow based on a sequential regularization formulation
Authors: LU XILIANG
Keywords: Sequential Regularization method (SRM), Navier-Stokes Equations, Finite Element Analysis, Error Estimate, Penalty Method, Computational Fluid Dynamics
Issue Date: 19-Jul-2006
Source: LU XILIANG (2006-07-19). Error analysis for incompressible viscous flow based on a sequential regularization formulation. ScholarBank@NUS Repository.
Abstract: We consider the sequential regularization method (SRM) for the unsteady incompressible Navier-Stokes equations. The thesis presents the formulation, existence and uniqueness of SRM solution, error analysis of discrete scheme of sequential regularization formulation. Based on sequential regularization formulation, we could solve Navier-Stokes equations numerically with strongly enforced divergence free constraint and with easily constructed finite element spaces (without consideration of inf-sup condition). Artificial boundary condition for pressure is not needed as well. We provide some numerical tests in the end of thesis.
URI: http://scholarbank.nus.edu.sg/handle/10635/15371
Appears in Collections:Ph.D Theses (Open)

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