Decomposition of time-resolved tomographic PIV

By Peter J. Schmid, D. Violato, Fulvio Scarano. 2012

158 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/b5595d207ba937c8a7624653d5455d59f4ee713c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

In Computational Mechanics

Citations in the corpus

Parallel data-driven decomposition algorithm for large-scale datasets: with application to transitional boundary layers (2016, methodology): “This methodology has recently been used in investigations of complex flows to either provide an explanation of the essential behavior of the system, or to generate reduced-order models based on a few dominant modes that optimally capture the full dynamics [4,9,17,19, 20].”
Higher Order Dynamic Mode Decomposition (2017, methodology): “DMD itself was developed by Schmid [48], and has become a useful tool for postprocessing massive spatiotemporal data in numerical and experimental fluid mechanics [49, 50, 51, 52, 32] and other fields [28, 40].”
Dynamic Mode Decomposition with Control (2014, methodology): “Substantial success has been achieved in the application of DMD to fields such as fluid dynamics which have been historically difficult to analyze and construct controllers due to the enormous number of spatial states required for simulation [16, 44, 47, 3, 53, 51].”
Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis (2017, background): “…a nonzero mean, but in practice the physically-relevant DMD modes tend to have have nearly zero growth/decay rates for stationary flows (e.g., Rowley et al., 2009; Chen et al., 2012; Schmid et al., 2012; Semeraro et al., 2012), which is logical since stationary flows are persistent by definition.”
On dynamic mode decomposition: Theory and applications (2013, background): “For instance, DMD has been applied in the study of the wake behind a flexible membrane [8], the flow around high-speed trains [9], instabilities in annular liquid sheets [10], shockwave-turbulent boundary layer interactions [11], detonation waves [12], cavity flows [8,13], and various jets [3,8,14,1”