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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 137 for “"Proper Orthogonal Decomposition"”.
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System Identification via the Proper Orthogonal Decomposition
… is entirely unknown. The methods use the proper orthogonal decomposition of measured response data combined with linear system theory to construct a model for predicting the response of an arbitrary linear or nonlinear system without any knowledge of the equations of motion. Separate …
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Proper orthogonal decomposition & kriging strategies for design
… of the original design problem through proper orthogonal decomposition.
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Study of High-speed Subsonic Jets using Proper Orthogonal Decomposition
… primary objective of this thesis is to advance Proper Orthogonal Decomposition (POD) methods to quantify similarities and differences between the turbulent structures in the mixing layer of transonic jets issued through baseline axisymmetric conical nozzle and ones with chevrons. The analysis is …
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Incremental proper orthogonal decomposition for PDE simulation data: Algorithms and analysis
… propose an incremental algorithm to compute the proper orthogonal decomposition (POD) of simulation data for a partial differential equation. Specifically, we modify an incremental matrix SVD algorithm of Brand to accommodate data arising from Galerkin-type simulation methods for time dependent …
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Application of the proper orthogonal decomposition to slat cove noise modeling
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2003.
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Proper Orthogonal Decomposition for Reduced Order Control of Partial Differential Equations
… The low order basis is obtained by applying Proper Orthogonal Decomposition (POD) to a set of functional gains, and is referred to as the functional gain POD basis. Low order controllers resulting from the functional gain POD basis are compared with low order controllers resulting from more …
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An Implementation-Based Exploration of HAPOD: Hierarchical Approximate Proper Orthogonal Decomposition
Proper Orthogonal Decomposition (POD), combined with the Method of Snapshots and Galerkin projection, is a popular method for the model order reduction of nonlinear PDEs. The POD requires the left singular vectors from the singular value decomposition (SVD) of an n-by-m "snapshot matrix" S, each …
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Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition
… over the standard FEM. We also utilize Proper Orthogonal Decomposition (POD) as a model reduction technique and modifications of POD that include Global POD, and the sensitivity based modifications Extrapolated POD and Expanded POD. We then use a single baseline parameter in the …
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Model order reduction in the frequency domain via spectral proper orthogonal decomposition
… Specifically, we emphasize the usage of spectral proper orthogonal decomposition (SPOD), recently revived by Towne et. al. (2018), which results in sets of orthogonal modes, each oscillating at a single frequency, that are said to optimally represent coherent-structures evolving in space and time. …
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Proper orthogonal decomposition with interpolation-based real-time modelling of the heart
… use of a Reduced Order Method (ROM) called the Proper Orthogonal Decomposition with Interpolation method (PODI) to achieve real-time modelling with an adequate level of solution accuracy. The idea behind this method is to first construct a database of pre-computed full-scale solutions using the …
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Efficient Modeling of the Lithium Ion Cell Using the Proper Orthogonal Decomposition Method
… no memory effect, and low self-discharge properties. Since the lithium ion cell is gradually becoming an indispensable energy storage device in human life, the studies of mathematical modeling of the lithium ion cell have been extensively scrutinized to better understand the mechanism of …
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Stereoscopic PIV measurements and proper orthogonal decomposition of a supersonic axisymmetric base flow
… into the global organization of the flow, proper orthogonal decomposition (POD) is performed. The energy convergence and the structures found in the eigenmodes are used to gain insight into the organization of the flow that may not be apparent by observation of the mean flow statistics or …
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A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics
… focus of this contribution is to investigate a Proper Orthogonal Decomposition with Interpolation (PODI) based method for inverse material parameter optimization in the field of cardiac mechanics. Material parameters are calibrated for a left ventricular and bi-ventricular human heart model …
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Simulating Bluff-body Flameholders: On the Use of Proper Orthogonal Decomposition for Combustion Dynamics Validation
… In the work presented here, a novel use of proper orthogonal decomposition (POD) is described to validate the structure of dominant heat release and flow features in the flame, shear-layer, and wake of a bluff-body-stabilized flame. A general validation process is presented which involves a …
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Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations
… for three-dimensional nonlinear problems. Proper orthogonal decomposition, as one of the most commonly used tools to generate reduced-order models, has been utilized in many engineering and scientific applications. Its original promise of computationally efficient, yet accurate …
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Improved Reduced Order Modeling Strategies for Coupled and Parametric Systems
This thesis uses Proper Orthogonal Decomposition to model parametric and coupled systems. First, Proper Orthogonal Decomposition and its properties are introduced as well as how to numerically compute the decomposition. Next, a test case was used to show how well POD can be used to simulate and …
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Optimization based control design techniques for distributed parameter systems
… that are actuated in-domain. The technique of proper orthogonal decomposition is used first to develop an approximate model. This model is then used to design optimal feedback controller. Approximate dynamic programming based neural network architecture is used to synthesize a sub-optimal …
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Approximate Deconvolution Reduced Order Modeling
… 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 …
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Sensitivity Enhanced Model Reduction
… model in order to increase the accuracy of a proper orthogonal decomposition (POD) basis across a wider range of parameters. Various techniques based on polynomial interpolation and basis alteration are compared. These techniques are performed on a 1-dimensional reaction-diffusion equation and …
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Contributions to the Understanding of Ship Airwakes Using Advanced Flow Diagnostic Techniques
… behind the funnel and above the flight deck. Proper Orthogonal Decomposition and Spectral Proper-Orthogonal Decomposition was used to extract the dominant energy modes from the TR-PIV measurements to better quantify the complex unsteady flow structures exhibited in the airwake. The application …
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