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A modal decomposition scheme, developed for this purpose, was used to derive the acoustic power of each duct mode from the complex pressure measurements.
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A modal decomposition strategy based on state-variable ensembles is formulated.
We have developed specific procedures that utilize the G-Scheme modal decomposition to carry out the sensitivity analysis along-with the numerical integration of chemical kinetics systems, so as to understand the roles of the most important reactions, and to identify the most important reaction paths of the processes.
Also the response measure, the cost function and the sensitivities with respect to structural parameter change, are calculated by using a very efficient scheme, exploiting the modal decomposition.
In that work, the bond graph formulation was used to model the system and the modal decomposition was limited to systems with proportional damping.
The modal decomposition technique is initially applied to the PDE system to formulate it as an infinite-dimensional singular perturbation model of ordinary differential equations (ODEs).
This paper focuses on the application of modal decomposition to a nonlinear convection-reaction-diffusion distributed parameter system (DPS).
We initially refonnulate the stochastic PDE into a system of infinite stochastic ordinary differential equations by using modal decomposition.
Kovasznay's modal decomposition of compressible flow, linear and nonlinear modal interactions, interaction of turbulence with shock waves.
Her work utilized two-dimensional analytical methods and developed new modal decomposition techniques.
The resonator output was 1 1 imaged onto a Spiricon CCD camera for intensity measurements, and could also be directed to a second SLM for modal decomposition studies.
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