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    Reduced order modeling for transport phenomena based on proper orthogonal decomposition

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    etd-tamu-2003C-AERO-Yuan-1.pdf (1.254Mb)
    Date
    2005-02-17
    Author
    Yuan, Tao
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    Abstract
    In this thesis, a reduced order model (ROM) based on the proper orthogonal decomposition (POD) for the transport phenomena in fluidized beds has been developed. The reduced order model is tested first on a gas-only flow. Two different strategies and implementations are described for this case. Next, a ROM for a two-dimensional gas-solids fluidized bed is presented. A ROM is developed for a range of diameters of the solids particles. The reconstructed solution is calculated and compared against the full order solution. The differences between the ROM and the full order solution are smaller than 3.2% if the diameters of the solids particles are in the range of diameters used for POD database generation. Otherwise, the errors increase up to 10% for the cases presented herein. The computational time of the ROM varied between 25% and 33% of the computational time of the full order solution. The computational speed-up depended on the complexity of the transport phenomena, ROM methodology and reconstruction error. In this thesis, we also investigated the accuracy of the reduced order model based on the POD. When analyzing the accuracy, we used two simple sets of governing partial differential equations: a non-homogeneous Burgers' equation and a system of two coupled Burgers' equations.
    URI
    http://hdl.handle.net/1969.1/1470
    Subject
    Fluidization
    Multiphase Flow
    Model Reduction
    Proper Orthogonal Decomposition
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    • Electronic Theses, Dissertations, and Records of Study (2002– )
    Citation
    Yuan, Tao (2003). Reduced order modeling for transport phenomena based on proper orthogonal decomposition. Master's thesis, Texas A&M University. Texas A&M University. Available electronically from http : / /hdl .handle .net /1969 .1 /1470.

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