A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations
arXiv:1907.10549 · doi:10.1016/j.cma.2020.113273
Abstract
We investigate a projection-based reduced-order model of the steady incompressible Navier-Stokes equations for moderate Reynolds numbers. In particular, we construct an "embedded" reduced basis space, by applying proper orthogonal decomposition to the Shifted Boundary Method, a high-fidelity embedded method recently developed. We focus on the geometrical parametrization through level-set geometries, using a fixed Cartesian background geometry and the associated mesh. This approach avoids both remeshing and the development of a reference domain formulation, as typically done in fitted mesh finite element formulations. Two-dimensional computational examples for one and three-parameter dimensions are presented to validate the convergence and the efficacy of the proposed approach.
arXiv commentarXiv admin note: text overlap with arXiv:1807.07790
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