Model Order Reduction for Hyperbolic Problems: a new framework
Résumé
We are interested in adapting standard model reduction techniques to hyperbolic problems. More precisely, this paper proposes a calibration procedure that allows to use standard ROM techniques to solve the two dimensional Euler equation around an airfoil. We propose a complete framework. First, an offline calibration procedure that reduces the Kolmogorov n-width of the solution manifold studied. Then a cheap reduced scheme approximating the truth solver. It uses L1-norm minimization and uses the calibrated manifold constructed in the offline phase. We discuss it's computational complexity. Finally, we present numerical simulations that illustrate the overall feasability of the method.
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