Stabilizing a CFD model of an unstable system through model reduction [PDF]
Modeling, Identification and Control, 2006 We demonstate stabilization of a computational fluid dynamics model of an unstable system. The unstable heating of a two-dimensional plate is used as a case study. Active control is introduced by cooling parts of the boundaries of the plate.
Svein Hovland, Jan T. Gravdahl
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Interpolation-based parameterized model order reduction of delayed systems [PDF]
, 2012 Three-dimensional electromagnetic methods are fundamental tools for the analysis and design of high-speed systems. These methods often generate large systems of equations, and model order reduction (MOR) methods are used to reduce such a high complexity.
Antonini, Giulio +5 more
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Model order reduction of linear time invariant systems [PDF]
Advances in Radio Science, 2008 This paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps.
Lj. Radić-Weissenfeld +3 more
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Model Order Reduction Technique Applied on Harmonic Analysis of a Submerged Vibrating Blade
International Journal of Applied Mechanics and Engineering, 2019 As part of an ongoing study into hydropower runner failure, a submerged, vibrating blade is investigated both experimentally and numerically. The numerical simulations performed are fully coupled acoustic-structural simulations in ANSYS Mechanical.
E. Tengs +3 more
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Passivity-preserving parameterized model order reduction using singular values and matrix interpolation [PDF]
, 2013 We present a parameterized model order reduction method based on singular values and matrix interpolation. First, a fast technique using grammians is utilized to estimate the reduced order, and then common projection matrices are used to build ...
Dhaene, Tom +3 more
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Transported snapshot model order reduction approach for parametric, steady‐state fluid flows containing parameter‐dependent shocks [PDF]
International Journal for Numerical Methods in Engineering, 2017 A new model order reduction approach is proposed for parametric steady‐state nonlinear fluid flows characterized by shocks and discontinuities whose spatial locations and orientations are strongly parameter dependent.
Nirmal J. Nair, Maciej Balajewicz
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Arnoldi model order reduction for electromagnetic wave scattering computation [PDF]
, 2007 This paper presents a model order reduction (MOR) algorithm for the volume integral equation formulation of electromagnetic wave scattering. We apply the Arnoldi algorithm to circumvent the computational complexity associated with the numerical solution ...
Bradley, Patrick +2 more
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Real-time simulation of the transplanted tooth using model order reduction
Frontiers in Bioengineering and Biotechnology, 2023 The biomechanics of transplanted teeth remain poorly understood due to a lack of models. In this context, finite element (FE) analysis has been used to evaluate the influence of occlusal morphology and root form on the biomechanical behavior of the ...
Pierre Lahoud +20 more
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ORDER REDUCTION OF DAE MODELS [PDF]
IFAC Proceedings Volumes, 2005 Abstract This report outlines a technique for the order reduction of differential algebraic equations (DAEs). The order reduction is accomplished in two steps. First, algebraic states are partitioned into successive implicit sets of variables and equations by reconstructing the sparsity pattern into lower triangular block form.
John D. Hedengren, Thomas F. Edgar
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Stability-preserving model order reduction for linear stochastic Galerkin systems
Journal of Mathematics in Industry, 2019 Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
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