Advisor(s)

Gilead Tadmor

Contributor(s)

Hanoch Lev-Ari, Octavia Camps

Date of Award

2010

Date Accepted

4-2010

Degree Grantor

Northeastern University

Degree Level

M.S.

Degree Name

Master of Science

Department or Academic Unit

College of Engineering, Department of Electrical and Computer Engineering

Keywords

electrical engineering, incompressible jet flow, orthogonal decomposition

Subject Categories

Jets -- Fluid dynamics, Galerkin methods, Turbulence

Disciplines

Electrical and Computer Engineering | Engineering

Abstract

Jet flows are complex and therefore challenging to be described accurately. This work aims at reduced-order modelling (ROM) of a three dimensional incompressible turbulent jet. The Galerkin approximation is utilized to project the governing partial differential equations (PDEs) onto a smaller size of ordinary differential equations (ODEs). A set of mesh grids are created in a cylindrical coordinate system with a nonlinear centerline in the streamwise direction to restore axial symmetry. Azimuthal decomposition is performed first as a pre-purification procedure, followed by the proper orthogonal decomposition (POD) with respect to kinetic energy norm and pressure norm. The capabilities of the POD modes to capture energy of the flow are resented in terms of eigenvalues. Different growing and rotating structures are found in the first few POD modes. The POD modes behaviors are further discussed in the spatial domain and the temporal domain.

The simulation database used in this work requires 50 Mb of binary data to represent a single time snapshot of one flow quantity. Therefore computationally speaking, a significant challenge is the efficient processing of high volume data in a reasonable time with standard PC-capabilities. The method of snapshots is used in the POD procedure to reduce the computational cost.

Document Type

Master's Thesis

Rights Information

copyright 2010

Rights Holder

Yiman Hou

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