A quadratic manifold derived via perturbation analysis extends the Craig-Bampton method to geometrically nonlinear structures, producing an efficient polynomial reduced-order model via Galerkin projection that preserves Lagrangian structure.
Irons, Structural eigenvalue problems - elimination of unwanted variables, AIAA Journal 3 (5) (1965) 961–962
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Implicit velocity correction schemes extend the stable time step by up to two orders of magnitude and reduce overall time-to-solution by up to a factor of eleven for high-Re incompressible flow simulations, with only minor accuracy loss up to 20 times the explicit limit.
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Craig-Bampton-based Quadratic Manifold for Nonlinear Substructuring
A quadratic manifold derived via perturbation analysis extends the Craig-Bampton method to geometrically nonlinear structures, producing an efficient polynomial reduced-order model via Galerkin projection that preserves Lagrangian structure.
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Implicit Velocity Correction Schemes for Scale-Resolving Simulations of Incompressible Flow: Stability, Accuracy, and Performance
Implicit velocity correction schemes extend the stable time step by up to two orders of magnitude and reduce overall time-to-solution by up to a factor of eleven for high-Re incompressible flow simulations, with only minor accuracy loss up to 20 times the explicit limit.