dc.contributor.advisor | Cizmas, Paul | |
dc.creator | Richardson, Brian Ross | |
dc.date.accessioned | 2010-01-15T00:11:28Z | |
dc.date.accessioned | 2010-01-16T00:45:41Z | |
dc.date.available | 2010-01-15T00:11:28Z | |
dc.date.available | 2010-01-16T00:45:41Z | |
dc.date.created | 2008-05 | |
dc.date.issued | 2009-05-15 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/ETD-TAMU-2623 | |
dc.description.abstract | This thesis presents a study of reduced-order models based on proper orthogonal
decomposition applied to non-isothermal transport phenomena in °uidized beds. A
numerical °ow solver called Multiphase Flow with Interphase eXchanges (MFIX) was
used to generate a database of solution snapshots for proper orthogonal decomposi-
tion (POD). Using POD, time independent basis functions were extracted from the
data and the governing equations of the numerical solver were projected onto the basis
functions to generate reduced-order models. A reduced-order model was constructed
that simulates multi-phase isothermal and non-isothermal °ow. In the reduced-order
models (ROMs) the large number of partial di®erential equations were replaced by a
much smaller number of ordinary di®erential equations. These reduced-order models
were applied to two reference cases, a time extrapolation case and a time-dependent
period boundary condition case. Three additional acceleration techniques were devel-
oped to further improve computational e±ciency of the POD based ROM: 1) Database
splitting, 2) Freezing the matrix of the linear system and 3) Time step adjustment.
Detailed numerical analysis of both the full-order model, MFIX and the POD-based
ROM, including estimating the number of operations and the CPU time per iteration,
was performed as part of this study. The results of this investigation show that the
reduced-order models are capable of producing qualitatively accurate results with less than 5% error with a two-order of magnitude reduction of computational costs. | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.subject | Proper Orthogonal Decomposition | en |
dc.subject | Reduced-Order Model | en |
dc.subject | Numerical Methods | en |
dc.title | A reduced-order model based on proper orthogonal decomposition for non-isothermal two-phase flows | en |
dc.type | Book | en |
dc.type | Thesis | en |
thesis.degree.department | Aerospace Engineering | en |
thesis.degree.discipline | Aerospace Engineering | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Master of Science | en |
thesis.degree.level | Masters | en |
dc.contributor.committeeMember | Carlson, Leland | |
dc.contributor.committeeMember | Guermond, Jean-Luc | |
dc.type.genre | Electronic Thesis | en |
dc.type.material | text | en |
dc.format.digitalOrigin | born digital | en |