Journal ArticleDOI
Three-Dimensional Transonic Aeroelasticity Using Proper Orthogonal Decomposition-Based Reduced-Order Models
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In this paper, the proper orthogonal decomposition (POD) based reduced order modeling (ROM) technique for modeling unsteady frequency domain aerodynamics is developed for a large scale computational model of an inviscid flow transonic wing configuration.Abstract:
The proper orthogonal decomposition (POD) based reduced order modeling (ROM) technique for modeling unsteady frequency domain aerodynamics is developed for a large scale computational model of an inviscid flow transonic wing configuration. Using the methodology, it is shown that a computational fluid dynamic (CFD) model with over a three quarters of a million degrees of freedom can be reduced to a system with just a few dozen degrees of freedom, while still retaining the accuracy of the unsteady aerodynamics of the full system representation. Furthermore, POD vectors generated from unsteady flow solution snapshots based on one set of structural mode shapes can be used for different structural mode shapes so long as solution snapshots at the endpoints of the frequency range of interest are included in the overall snapshot ensemble. Thus, the snapshot computation aspect of the method, which is the most computationally expensive part of the procedure, does not have to be fully repeated as different structural configurations are considered.read more
Citations
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Journal ArticleDOI
Reduced-order modeling: new approaches for computational physics
TL;DR: In this paper, the authors review the development of new reduced-order modeling techniques and discuss their applicability to various problems in computational physics, including aerodynamic and aeroelastic behaviors of two-dimensional and three-dimensional geometries.
Journal ArticleDOI
Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity
David Amsallem,Charbel Farhat +1 more
TL;DR: In this article, an interpolation method based on the Grassmann manifold and its tangent space at a point that is applicable to structural, aerodynamic, aeroelastic, and many other reduced-order models based on projection schemes is presented.
Journal ArticleDOI
Efficient non-linear model reduction via a least-squares Petrov–Galerkin projection and compressive tensor approximations
TL;DR: In this article, the authors acknowledge the partial support of the National Science Foundation Graduate Fellowship and the National Defense Science and Engineering Graduate Fellowship for a research grant from King Abdullah University of Science and Technology (KAUST) and Stanford University.
Journal ArticleDOI
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows
TL;DR: Global state-space error bounds are developed that justify the method's design and highlight its advantages in terms of minimizing components of these error bounds and a 'sample mesh' concept is introduced that enables a distributed, computationally efficient implementation of the GNAT method in finite-volume-based computational-fluid-dynamics (CFD) codes.
Journal ArticleDOI
Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows
TL;DR: In this paper, a method for constructing reduced-order models of unsteady small-disturbance e ows is presented, using basis vectors determined from the proper orthogonal decomposition (POD) of an ensemble of small-disorderance frequency-domain solutions.
References
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Book
Turbulence, Coherent Structures, Dynamical Systems and Symmetry
TL;DR: In this article, the authors present a review of rigor properties of low-dimensional models and their applications in the field of fluid mechanics. But they do not consider the effects of random perturbation on models.
Journal ArticleDOI
Nonreflecting boundary conditions for Euler equation calculations
TL;DR: In this paper, a unified theory for the construction of steady-state and unsteady nonreflecting boundary conditions for the Euler equations is presented, which allows calculatios to be performed on truncated domains without the generation of spurious nonphysical reflections at the far-field boundaries.