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    Dynamics of dusty vortices - I. Extensions and limitations of the terminal velocity approximation 
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    Dynamics of dusty vortices - I. Extensions and limitations of the terminal velocity approximation

    Volume
    488
    Pagination
    5290 - 5299
    Publisher
    Published by Oxford University Press on behalf of the Royal Astronomical Society
    DOI
    10.1093/mnras/stz2035
    Journal
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
    Issue
    4
    ISSN
    0035-8711
    Metadata
    Show full item record
    Abstract
    Motivated by the stability of dust laden vortices, in this paper we study the terminal velocity approximation equations for a gas coupled to a pressureless dust fluid and present a numerical solver for the equations embedded in the FARGO3D hydrodynamics code. We show that for protoplanetary discs it is possible to use the barycentre velocity in the viscous stress tensor, making it trivial to simulate viscous dusty protoplanetary discs with this model. We also show that the terminal velocity model breaks down around shocks, becoming incompatible with the two-fluid model it is derived from. Finally we produce a set of test cases for numerical schemes and demonstrate the performance of our code on these tests. Our implementation embedded in FARGO3D using an unconditionally stable explicit integrator is fast, and exhibits the desired second-order spatial convergence for smooth problems.
    Authors
    Lovascio, F; Paardekooper, S-J
    URI
    https://qmro.qmul.ac.uk/xmlui/handle/123456789/64090
    Collections
    • Physics and Astronomy [971]
    Copyright statements
    © 2019 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society
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