Stochastic determinism for capturing the transition point from laminar flow to turbulence

Ken Naitoh, Hiromu Shimiya

    Research output: Contribution to journalArticle

    39 Citations (Scopus)

    Abstract

    To this day, the transition from laminar flow to turbulence in channels is still an important aspect of many different phenomena such as blood flows, microfluidics, and laminar airfoils. Although a lot of researchers have tried, no methods of computational fluid dynamics can directly simulate the transition point in space for a wide range of Reynolds numbers. Previous research studies have captured only the transition in time. In this report, we present the first successful simulation of the transition point in three-dimensional space using a stochastic determinism approach based on a systematic evaluation of molecular discontinuity and proper control of numerical errors, although the results are not quantitative.

    Original languageEnglish
    Pages (from-to)3-14
    Number of pages12
    JournalJapan Journal of Industrial and Applied Mathematics
    Volume28
    Issue number1
    DOIs
    Publication statusPublished - 2011 Apr

    Fingerprint

    Determinism
    Laminar Flow
    Laminar flow
    Airfoils
    Microfluidics
    Turbulence
    Computational fluid dynamics
    Reynolds number
    Blood
    Airfoil
    Blood Flow
    Computational Fluid Dynamics
    Discontinuity
    Three-dimensional
    Evaluation
    Range of data
    Simulation

    Keywords

    • Computational fluid dynamics
    • Determinism
    • Stochasticity
    • Transition
    • Turbulence

    ASJC Scopus subject areas

    • Applied Mathematics
    • Engineering(all)

    Cite this

    Stochastic determinism for capturing the transition point from laminar flow to turbulence. / Naitoh, Ken; Shimiya, Hiromu.

    In: Japan Journal of Industrial and Applied Mathematics, Vol. 28, No. 1, 04.2011, p. 3-14.

    Research output: Contribution to journalArticle

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