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    Low-dimensional proper orthogonal decomposition modeling as a fast approach of aerodynamic data estimation

    , Article Journal of Aerospace Engineering ; Volume 23, Issue 1 , 2010 , Pages 44-54 ; 08931321 (ISSN) Taeibi Rahni, M ; Sabetghadam, F ; Moayyedi, M. K ; Sharif University of Technology
    Abstract
    The proper orthogonal decomposition (POD) method is used and assessed as a fast technique for estimation of aerodynamics data with variation of some aerodynamics parameters. In this way, four extensions to the POD method are considered for steady viscous/inviscid compressible aerodynamic applications. The first extension is a coupling between the POD method with a cubic spline interpolation, as introduced for inviscid flows. The second and the third ones are essentially new techniques which are introduced here for the first time. In these methods, some additional calibrations (including a kind of filtering and reprojection) are needed to achieving more accurate estimations. The so-called... 

    Adaptive proper orthogonal decomposition for large scale reliable soil moisture estimation

    , Article Measurement Science and Technology ; Volume 32, Issue 11 , 2021 ; 09570233 (ISSN) Pourshamsaei, H ; Nobakhti, A ; Jana, R. B ; Sharif University of Technology
    IOP Publishing Ltd  2021
    Abstract
    A major challenge in automatic irrigation of extensive agricultural fields is large scale soil moisture monitoring. Proper orthogonal decomposition (POD) is a widespread data-driven dimension reduction technique which can be combined with QR pivoting method for estimation of high-dimensional signals and optimal sensor placement. However, it requires computation of tailored basis functions which should be extracted from known training data. This is feasible for problems with constant features such as face recognition. However, using fixed bases (and probably fixed sensor selection) may not be an appropriate approach for estimation of signals with time-variant features. This paper demonstrates... 

    Simulation of Two Phase flow in 2D Hydrocarbon Reservoirs Using Reduced Order Modeling Based on Proper Orthogonal Decomposition Technique

    , M.Sc. Thesis Sharif University of Technology Goodarzi, Mahdi (Author) ; Taghizadeh Manzari, Mehrdad (Supervisor) ; Kazemzadeh Hannani, Siamak (Supervisor)
    Abstract
    The objective of this thesis is to use proper orthogonal decomposition (POD) method in numerical simulation of a hydrocarbon reservoir to decrease computational time.The algorithm basically consists of two projection steps: (1) projecting the governing equations onto a subspace spanned by a low number of global empirical basis functions extracted from previous time step solutions, and (2) solving the governing equations in this reduced space and projecting the solution back on the original, high dimensional one. After projection of governing equations to new subspace, because of much less dimensions of this subspace, the computational cost of numerical solution of the equations, which mostly... 

    Optimization of Airfoil Design Using Low-dimensional POD Method

    , M.Sc. Thesis Sharif University of Technology Marvi, Morteza (Author) ; Tayyebi Rahni, Mohammad (Supervisor)
    Abstract
    The aim of this research was investigation, development and application of lowdimensional proper orthogonal decomposition method for simulation of flow field and airfoil design. Sine analytical methods have low accuracy and limitations and also experimental methods have other problems, researchers usually use computational approach, which mostly do not have acceptable efficiency and speeds of computational. The idea of application of reduced order modeling which originally comes from control theories and structural analysis, have attracted many researcher in recent years. In this research, we also used POD and flow data to obtain a fast module of aerodynamic airfoil design. The goals of... 

    MIMO radar beamforming using orthogonal decomposition of correlation matrix

    , Article Circuits, Systems, and Signal Processing ; Volume 32, Issue 4 , 2013 , Pages 1791-1809 ; 0278081X (ISSN) Shadi, K ; Behnia, F ; Sharif University of Technology
    2013
    Abstract
    MIMO radar is the next generation radar which transmits arbitrary waveforms at each one of its apertures. It has been shown that the design of waveforms for MIMO radars in order to synthesize a desired spatial beampattern is mapped into a waveform correlation matrix R design in the narrowband case. As of now, given a desired beampattern or estimated locations information of targets, calculating R has been modeled as an optimization problem like semi-definite programming. Also, in some special cases like rectangular beampattern, closed-form solutions for R has been proposed. In this paper, we introduce a fast algorithm which is capable of designing R in order to achieve more arbitrary... 

    Low-dimensional POD Simulation of Unsteady Flow around Bodies with Arbitrary Shapes

    , Ph.D. Dissertation Sharif University of Technology Moayyedi, Mohammad Kazem (Author) ; Tayyebi Rahni, Mohammad (Supervisor)
    Abstract
    The aim of this research was an investigation, development, and application of low- dimensional proper orthogonal decomposition (POD) method for simulation of unsteady flow around bodies. Since analytical methods have low accuracy and limitations and also experimental methods have other problems, researchers usually use computational approaches, which mostly do not have acceptable efficiency and speeds of computations (especially in 3-D unsteady flows). On the other hand, the idea of application of reduced order modelling, which orginally comes from control theories and structural analysis, have attracted many researchers in recent years. In this research, we also used POD for reduced order... 

    Soil Moisture Monitoring in Precision Agriculture Using Estimation Theories

    , Ph.D. Dissertation Sharif University of Technology Pourshamsaei Dargahi, Hossein (Author) ; Nobakhti, Amin (Supervisor)
    Abstract
    Monitoring of soil moisture plays an essential role in correct decision making and implementation of any closed loop control system in precision agriculture. On the one hand, continuous using of a lot of moisture sensors and monitoring of soil moisture via direct measurement is restricted by practical prohibitions. On the grounds that activation of a lot of sensors continuously requires communication of a large amount of information and causes high power consumption for a moisture monitoring system. On the other hand, using remote sensing methods such as satellite methods, for moisture monitoring in arbitrary spatial and time resolution for control purposes, is not practically possible. The... 

    Development of Low-order Model/controllers for Oil Reservoir Smart Wells

    , M.Sc. Thesis Sharif University of Technology Hemmati, Sahar (Author) ; Pishvaie, Mahmoud Reza (Supervisor)
    Abstract
    Upstream oil industry operators have turned to optimal production methods for further recoveries, such as smart wells. Control algorithms for smart wells must be equipped with online measurements, in other words, reflected in the feedback philosophy. On the other hand, after discretization, an oil reservoir's dynamic and control-driven model becomes a realization or a large-scale and sparse state space. One way to deal with this problem and provide an appropriate model for the design of smart well controllers is to use appropriate reservoir dimensional reduction methods. Therefore, to design low-order controllers, a study must first be performed at the level of the reservoir model and its... 

    A dynamical approach to topography estimation in atomic force microscopy based on smooth orthogonal decomposition

    , Article Nonlinear Dynamics ; Volume 103, Issue 3 , 2021 , Pages 2345-2363 ; 0924090X (ISSN) Rafiee Javazam, M ; Nejat Pishkenari, H ; Sharif University of Technology
    Springer Science and Business Media B.V  2021
    Abstract
    Atomic force microscope (AFM) is one of the most versatile and powerful devices capable of producing high-resolution images of nanomaterial. Many researchers are widely investigating to improve the scanning speed and image quality of AFM by proposing different techniques. Here, we aim to present a novel approach based on the smooth orthogonal decomposition for the estimation of the surface topography in AFM. The technique proposed in this research not only eliminates the need for a closed-loop controller but also acquires the surface three-dimensional shape (topography) very quickly and accurately. The proposed technique relies on the fact that in the tapping mode of atomic force microscopy,... 

    Development of a Surrogate Simulator for Heterogeneous Reservoirs Using Trajectory Piecewise Linearization (TPWL) Method

    , M.Sc. Thesis Sharif University of Technology Ansari, Esmail (Author) ; Pishvaie, Mahmoud Reza (Supervisor) ; Bozorgmehri, Ramin (Supervisor)
    Abstract
    Reduced-order modeling (ROM) is a novel approach in all realms of computational science including reservoir simulation. Among various ROM methods, Trajectory Piecewise Linearization (TPWL) is on its evolution for reservoir applications. Previous investigations reflect promising future for incorporating TPWL into the next generations of enhanced reservoir simulators. In this work, we employ TPWL to investigate the claimed efficiency, robustness and accuracy of this method as a surrogate simulator for a developed reservoir simulator. The self construction of the used simulator gives us the opportunity to explore this method and to examine previous assertions on the subject. The efficiency of...