Xiao Wang

Graduation Semester and Year

2014

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Department

Mathematics

First Advisor

Chaoqun Liu

Abstract

An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with micro-ramp vortex generators (MVG) at Mach 2.5 and Re=5760. Detailed mechanism and topology of flow structure after MVG was studied to make better understanding. A series of new findings are obtained about the MVG-ramp flow including the three-dimensional vortex structure generated by MVG. The mechanism about the formation of vortex ring structure and momentum deficit after MVG is deeply studied. Small scale vortical structures in the rear separation and wake near the trailing edge of MVG was also analyzed. New conceptual model of the flow topology was suggested. The two dimensional stability analysis on compressible flat plate with zero attack angle was carried out to set up for further stability analysis. Results from compressible blasius solution was analyzed for stability using global method with second order finite-difference discretization.

Disciplines

Mathematics | Physical Sciences and Mathematics

Comments

Degree granted by The University of Texas at Arlington

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