Document Type
Article
Date of Original Version
3-25-2020
Department
Mechanical, Industrial and Systems Engineering
Abstract
A common interpretation is presented for four powerful modal decomposition techniques: “proper orthogonal decomposition,” “smooth orthogonal decomposition,” “state-variable decomposition,” and “dynamic mode decomposition.” It is shown that, in certain cases, each technique can be interpreted as an optimization problem and similarities between methods are highlighted. By interpreting each technique as an optimization problem, significant insight is gained toward the physical properties of the identified modes. This insight is strengthened by being consistent with cross-multiple decomposition techniques. To illustrate this, an inter-method comparison of synthetic hypersonic boundary layer stability data is presented.
Citation/Publisher Attribution
Khan, AA, Kuehl, J, and Chelidze, D. "Toward a Unified Interpretation of the “proper”/“smooth” Orthogonal Decompositions and “state Variable”/“dynamic Mode” Decompositions with Application to Fluid Dynamics." AIP Advances. 10.3 (2020): 035225. https://doi-org.uri.idm.oclc.org/10.1063/1.5144429
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.