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Title: Numerical gauge methods for variable density and multi-phase flows
Authors: JIA SHUO
Keywords: Navier-Stokes Equations, Gauge Method, Boussinesq Approximation, Variable-Density Flows, Multi-Phase Flows, Level Set Method
Issue Date: 15-Jun-2006
Citation: JIA SHUO (2006-06-15). Numerical gauge methods for variable density and multi-phase flows. ScholarBank@NUS Repository.
Abstract: In this thesis a new method, which we call the variable density gauge formulation, for solving variable density incompressible Navier-Stokes equations is proposed and studied. This formulation is an extension from the conventional gauge formulation for constant density Navier-Stokes equations. Wedevelop a finite difference scheme on uniform non-staggered grids using the variable density gauge formulation to obtain fullysecond-order accuracy in velocity, pressure and density. When the surface tension is taken into account, we couple the variabledensity gauge formulation with the level set method to numerically simulate the motion of two immiscible viscous fluids separated by afree moving interface. The numerical performance of the variable density gauge formulation is illustrated by several numerical results.
Appears in Collections:Ph.D Theses (Open)

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