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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)
Keywords: Reduced order model (ROM) Proper orthogonal decomposition (POD)/ Galerkin projection Linear time-invariant (LTI) system Stability Pole placement Constrained nonlinear least-squares a b s t r a c t A new approach for stabilizing unstable reduced order models (ROMs) for linear time-invariant (LTI) systems through an a posteriori post-processing step(More)
NOTICE: This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government, nor any agency thereof, nor any of their employees, nor any of their contractors, subcontractors, or their employees, make any warranty, express or implied, or assume any legal liability or responsibility for(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)
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)
Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. Approved for public release; further dissemination unlimited. NOTICE: This report was(More)
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