A Lagrangian-frame DMD that includes characteristic-line positions as Koopman observables yields accurate reduced-order models for shock-free advection-dominated PDEs.
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Lagrangian Dynamic Mode Decomposition for Construction of Reduced-Order Models of Advection-Dominated Phenomena
A Lagrangian-frame DMD that includes characteristic-line positions as Koopman observables yields accurate reduced-order models for shock-free advection-dominated PDEs.