Title

Cavitation Flow by Adaptive Gridding

Author

Yuejin Gong

Date of Award

1998

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Joseph Kolibal

Advisor Department

Mathematics

Abstract

An inviscid, incompressible solver based on Chorin's method of artificial compressibility is developed to model steady-state, two-phase flows which produce large bubble cavities, typically occurring in sheet cavitating flows. The bubble surface is treated as a free boundary and tracked adaptively, providing for mesh refinement and mesh alignment along the interface. Techniques are used to demonstrate the ability to explicitly couple front tracking to the fluid flow solver. The use of explicit front tracking methods in which the solution is recomputed after the front or bubble boundary is updated, allows for the inclusion of sophisticated bubble surface models into the front tracking algorithm. The algorithm is implemented for two-dimensional internal flows, and a parallel version of the flow solver is also developed and implemented on PSC CRAY T3D machines. A new, easy to implement, partition scheme is developed based on potential theory.