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With the increasing role of computational modeling in engineering design, performance estimation, and safety assessment , improved methods are needed for comparing computational results and experimental measurements. Traditional methods of graphically comparing computational and experimental results, though valuable, are essentially qualitative. Computable(More)
Keywords: Reduced order models Galerkin projection Energy method Linearized Euler equations a b s t r a c t The Galerkin projection procedure for construction of reduced order models of compress-ible flow is examined as an alternative discretization of the governing differential equations. The numerical stability of Galerkin models is shown to depend on the(More)
  • Irina Kalashnikova, Bart Van Bloemen Waanders, Srinivasan Arunajatesan, Matthew Barone
  • 2014
A new approach for stabilizing unstable reduced order models (ROMs) for linear time-invariant (LTI) systems through an a posteriori post-processing step applied to the algebraic ROM system is developed. The key idea is to modify the unstable eigenvalues of the ROM system by moving these eigenvalues into the stable half of the complex plane. It is(More)
Least-squares Petrov–Galerkin (LSPG) model-reduction techniques such as the Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they have generated stable, accurate solutions for large-scale turbulent, compressible flow problems where standard Galerkin techniques have failed. However , there has been limited comparative analysis of(More)
Discrete-optimal model-reduction techniques such as the Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they have generated stable, accurate solutions for large-scale turbulent, compressible flow problems where standard Galerkin techniques have failed. However, there has been limited comparative analysis of the two approaches.(More)
Keywords: Reduced order model (ROM) Proper orthogonal decomposition (POD)/ Galerkin projection Linear hyperbolic/incompletely parabolic systems Linear time-invariant (LTI) systems Numerical stability Lyapunov equation a b s t r a c t An approach for building energy-stable Galerkin reduced order models (ROMs) for linear hyperbolic or incompletely parabolic(More)
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