• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Appearance of deterministic mixing behavior from ensembles of fluctuating hydrodynamics simulations of the Richtmyer-Meshkov instability

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    PhysRevE.97.043111.pdf
    Size:
    2.121Mb
    Format:
    PDF
    Description:
    Published version
    Download
    Type
    Article
    Authors
    Narayanan, Kiran cc
    Samtaney, Ravi cc
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Investment Fund
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2018-04-19
    Permanent link to this record
    http://hdl.handle.net/10754/627759
    
    Metadata
    Show full item record
    Abstract
    We obtain numerical solutions of the two-fluid fluctuating compressible Navier-Stokes (FCNS) equations, which consistently account for thermal fluctuations from meso- to macroscales, in order to study the effect of such fluctuations on the mixing behavior in the Richtmyer-Meshkov instability (RMI). The numerical method used was successfully verified in two stages: for the deterministic fluxes by comparison against air-SF6 RMI experiment, and for the stochastic terms by comparison against the direct simulation Monte Carlo results for He-Ar RMI. We present results from fluctuating hydrodynamic RMI simulations for three He-Ar systems having length scales with decreasing order of magnitude that span from macroscopic to mesoscopic, with different levels of thermal fluctuations characterized by a nondimensional Boltzmann number (Bo). For a multidimensional FCNS system on a regular Cartesian grid, when using a discretization of a space-time stochastic flux Z(x,t) of the form Z(x,t)→1/-tN(ih,nΔt) for spatial interval h, time interval Δt, h, and Gaussian noise N should be greater than h0, with h0 corresponding to a cell volume that contains a sufficient number of molecules of the fluid such that the fluctuations are physically meaningful and produce the right equilibrium spectrum. For the mesoscale RMI systems simulated, it was desirable to use a cell size smaller than this limit in order to resolve the viscous shock. This was achieved by using a modified regularization of the noise term via Zx,t→1/-tmaxh3,h03Nih,nΔt, with h0=ξh<h0,ξZ+. Our simulations show that for systems with Bo1 deterministic mixing behavior emerges as the ensemble-averaged behavior of several fluctuating instances, whereas when Bo≈1, a deviation from deterministic behavior is observed. For all cases, the FCNS solution provides bounds on the growth rate of the amplitude of the mixing layer.
    Citation
    Narayanan K, Samtaney R (2018) Appearance of deterministic mixing behavior from ensembles of fluctuating hydrodynamics simulations of the Richtmyer-Meshkov instability. Physical Review E 97. Available: http://dx.doi.org/10.1103/PhysRevE.97.043111.
    Sponsors
    We thank the KAUST Supercomputing Lab for use of the Cray XC-40, Shaheen II. This work was funded by the KAUST baseline research funds.
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review E
    DOI
    10.1103/PhysRevE.97.043111
    Additional Links
    https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.043111
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.97.043111
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.