Approximate Deconvolution Reduced Order Modeling

This thesis proposes a large eddy simulation reduced order model (LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal decomposition (POD) is used to define the ROM basis and a POD differential filter is used to define the large ROM structures. An approximate deconvolution (AD) approach is used to solve the ROM closure problem and develop a new AD-ROM. This AD-ROM is tested in the numerical simulation of the one-dimensional Burgers equation with a small diffusion coefficient ( ν= 10⁻³).

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2015

Author dc:creator

• Xie, Xuping

Chair dc:contributor.committeechair

• Iliescu, Traian

Committee members dc:contributor.committeemember

• Gugercin, Serkan
• Lin, Tao

• approximate deconvolution
• large eddy simulation
• reduced order modeling
• inverse problems
• regularization

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en_US

Dc Identifier Other

etd-11232015-161835

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/78043