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One method computes the ROM pressure solely based on the velocity POD modes, whereas the other two ROMs use pressure modes as well.
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(b) The SMFEROE solution of the velocity u with 6 POD bases at time (t =40) when (mathit{Re}=1mbox000) and (mathit{Pr}=7).
The contribution of vortex shedding to the total turbulent kinetic energy is determined from proper orthogonal decompositions (POD) of fluctuating velocity fields measured with particle image velocimetry (PIV).
Proper orthogonal decomposition (POD) of the velocity data showed that each case contained a dynamic helical vortex core (HVC) that rotated around the combustor and greatly affected the flame behavior.
Both velocity-based and vorticity-based POD were implemented.
Karhunen Loeve (Galerkin) projection to develop a reduced-order model obtained by projecting the velocity field onto the most important POD modes.
However, it includes all new DORIS stations and is more reliable, as we disregard stations with large velocity formal errors as they could contaminate POD computations in the near future.
Velocity data were analysed by proper orthogonal decomposition (POD).
Specifically, the POD mode shapes pertaining to both velocity and flame front position data feature dominant instabilities.
In this work, the simulations compare the performance of our new approach with standard POD or wavelet analysis in extracting smooth profiles from noisy velocity and density fields.
The macro-instability (MI) of the velocity field was extracted from the experimental data using the proper orthogonal decomposition (POD) technique and spectral analysis.
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