Equation-free multiscale computation of compressible flow in a planar diffuser

Jimmy Fung, Richard M. Murray, Yannis Kevrekidis

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

Abstract

We describe a technique for the efficient computation of the dominant-scale dynamics of a fluid system when only a high-fidelity simulation is available. Such a technique is desirable when governing equations for the dominant scales are unavailable, when model reduction is impractical, or when the original high-fidelity computation is expensive. We adopt the coarse analysis framework proposed by I. G. Kevrekidis (Comm. Math. Sci. 2003), where a computational superstructure is designed to use short-time, high-fidelity simulations to extract the dominant features for a multiscale system. We apply this technique to compute the dominant features of the compressible flow through a planar diffuser. We discuss the high fidelity simulation, the identification of dominant scales, the design of a computational superstructure for time integration of the dominant-scale dynamics, and associated results. The results include accurate short and medium-time tracking of the dominant-scale dynamics for a range of parameter values for the computational superstructure. These results suggest that coarse analysis methods are useful for solving fluid flow problems of a multiscale nature.

Original languageEnglish (US)
Title of host publication17th AIAA Computational Fluid Dynamics Conference
StatePublished - Dec 1 2005
Event17th AIAA Computational Fluid Dynamics Conference - Toronto, ON, Canada
Duration: Jun 6 2005Jun 9 2005

Publication series

Name17th AIAA Computational Fluid Dynamics Conference

Other

Other17th AIAA Computational Fluid Dynamics Conference
CountryCanada
CityToronto, ON
Period6/6/056/9/05

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Mechanical Engineering

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  • Cite this

    Fung, J., Murray, R. M., & Kevrekidis, Y. (2005). Equation-free multiscale computation of compressible flow in a planar diffuser. In 17th AIAA Computational Fluid Dynamics Conference (17th AIAA Computational Fluid Dynamics Conference).