Entropy-based modal decomposition of high-speed, vortex-dominated flows

Ethan A. Vogel, James G. Coder

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

A novel entropy normalization is proposed for application with proper orthogonal decomposition (POD) and other modal analysis techniques of highly compressible flows. This normalization demonstrates the traits of symmetry and positive-definiteness required of a normalization and takes advantage of thermodynamic entropy’s monotonic behavior in compressible flows. Through its derivation this entropy norm also rigorously demonstrates the uniqueness and validity of the commonly-used Chu norm as a contraction about energy. The normalization has been applied to OVERFLOW implicit large-eddy simulation (ILES) results of a cone-slice-ramp in Mach 6 flow. This geometry exhibits a vortex-shock/wave-boundary/layer interaction with SWBLI and vortex instability. Decompositions calculated using the presented entropy normalization are compared to those performed using conventional Chu normalization. These entropy-based modes were used to identify and characterize coherent structures in the cone-slice-ramp flow field. POD analysis of the cone slice ramp uncovered evidence that vortex structures are persistent through SWBLIs.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2021 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Pages1-19
Number of pages19
ISBN (Print)9781624106095
StatePublished - 2021
EventAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2021 - Virtual, Online
Duration: Jan 11 2021Jan 15 2021

Publication series

NameAIAA Scitech 2021 Forum

Conference

ConferenceAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2021
CityVirtual, Online
Period1/11/211/15/21

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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