Numerical Simulations of Breaking Free-Surface Flows
Date Issued
2012
Date
2012
Author(s)
Wu, Ching-Sen
Abstract
The thesis is concerned with developing a numerical model to study the breaking free-surface flow problem. However, such a robust numerical model in computational fluid dynamics must be composed of the reliable flow solver and the accurate prediction of variations of free surface. At first, the mathematical model is based on solving the Navier-Stokes equations with the operator splitting procedure by a two-step projection method or a solution algorithm with successive over relaxation scheme. Second, to capture the configurations of free surface, the interface tracking and the interface capturing treatments are both concerned in this thesis. Two accurate methods, including the modified height function method and the advanced volume of fluid method, are respectively proposed. The difference between the two proposed methods depends on the access of describing the breaking effects or not. The common mission of the two methods is to benefit the rule of mass/volume conservation in computations. However, to describe the motions of obstacle embedded in the fluid, capability of handling the complex geometry is relied on the hybrid Cartesian immersed boundary method. Finally, the links of flow-field solutions and proposed schemes are used to study the free-surface flow problem with liquid-breaking effects. All the numerical results in this thesis are compared favorably with the reference data. Reasonably good agreements can be observed through the developed numerical model.
Subjects
free-surface flow
liquid-breaking effect
modified height function method
advanced volume of fluid method
hybrid Cartesian immersed boundary method
Type
thesis
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