Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 33, Issue 5, Pages 2169-2198Publisher
SIAM PUBLICATIONS
DOI: 10.1137/100813051
Keywords
interpolation; matrix manifolds; mode veering; parametric model reduction; real-time computing
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Funding
- King Abdullah University of Science and Technology (KAUST)
- Stanford University
- King Abdulaziz City for Science and Technology (KACST)
- Boeing Company [45047]
- Air Force Office of Scientific Research [FA9550-10-1-0539]
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A two-step online method is proposed for interpolating projection-based linear parametric reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter values. The first step of this method transforms each precomputed ROM into a consistent set of generalized coordinates. The second step interpolates the associated linear operators on their appropriate matrix manifold. Real-time performance is achieved by precomputing inner products between the reduced-order bases underlying the precomputed ROMs. The proposed method is illustrated by applications in mechanical and aeronautical engineering. In particular, its robustness is demonstrated by its ability to handle the case where the sampled parameter set values exhibit a mode veering phenomenon.
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