2019
DOI: 10.1093/mnras/stz2035
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Dynamics of dusty vortices – I. Extensions and limitations of the terminal velocity approximation

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 baricenter 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 a… Show more

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Cited by 18 publications
(18 citation statements)
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“…http://www.astro.uni-jena.de/Laboratory/Database/databases.html 4 Although we had also found two-peak signatures in the m = 1 phase inHammer et al (2019), those signatures were influenced by our use of the terminal velocity approximation, which breaks down near spiral shocks(Lovascio & Paardekooper 2019). Nonetheless, we find that same signature in this study without the use of that approximation.© 2016 RAS, MNRAS 000, 1-?…”
supporting
confidence: 57%
“…http://www.astro.uni-jena.de/Laboratory/Database/databases.html 4 Although we had also found two-peak signatures in the m = 1 phase inHammer et al (2019), those signatures were influenced by our use of the terminal velocity approximation, which breaks down near spiral shocks(Lovascio & Paardekooper 2019). Nonetheless, we find that same signature in this study without the use of that approximation.© 2016 RAS, MNRAS 000, 1-?…”
supporting
confidence: 57%
“…The terminal velocity approximation is unrealistic in low density regions or in shocked regions where the pressure is discontinuous (Lovascio & Paardekooper 2019). We cap the differential velocities to w cap in our models to avoid prohibitively small timesteps and unrealistically large variations in the dust ratio in strong shock fronts.…”
Section: Regularization Of the Differential Velocity And Dust Densitymentioning
confidence: 99%
“…Thus, it appears that the overall impact of dust in the system is stronger in the latter study. One reason might be that the single fluid de-scription implicitly assumes the terminal velocity approximation (Youdin and Goodman 2005;Lovascio and Paardekooper 2019) for the dust. Furthermore, the different numerical setup used in Lin ( 2019) is possibly more dissipative such that the overall level of turbulence is expected to be slightly weaker.…”
Section: Dust Settling In the Absence Of A Pressure Bumpmentioning
confidence: 99%