Document Type

Dissertation

Date of Degree

Spring 2013

Degree Name

PhD (Doctor of Philosophy)

Degree In

Mechanical Engineering

First Advisor

Frederick Stern

Second Advisor

Jianming Yang

Abstract

A sharp interface cavitation model has been developed for computational fluid dynamics. A phase change model based on a simplification of the Rayleigh-Plesset equation is combined with a second-order volume-of-fluid method with a constructed level set function in an incompressible fluid dynamics model.

The semi-implicit phase change model predicts the mass flux between liquid and vapor phases based on the difference between the local pressure at the interface and the vapor pressure at the ambient conditions. The mass flux between phases determines the volume source strength and jump velocities at the interface.

To prevent difficulties computing derivatives near the interface, two separate velocity fields from the momentum equation are solved considering the interface velocity jump. The interface velocity jump is extended into the liquid and vapor domains using a fast marching method.

A description of the mathematical and numerical models is included, as well as an explanation and derivation of the phase change model. Hypothetical vapor bubble problems are demonstrated to test the components of the model. Finally, cavity evolution on a hydrofoil is computed for a range of parameters.

Keywords

Cavitation, Computational Fluid Dynamics

Pages

x, 64 pages

Bibliography

Includes bibliographical references (pages 61-64).

Copyright

Copyright 2013 Thad Jefferson Michael

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