A two-phase code for protoplanetary disks

Satoshi Inaba, P. Barge, E. Daniel, H. Guillard

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A high accuracy 2D hydrodynamical code has been developed to simulate the flow of gas and solid particles in protoplanetary disks. Gas is considered as a compressible fluid while solid particles, fully coupled to the gas by aerodynamical forces, are treated as a pressure-free diluted second phase. The solid particles lose energy and angular momentum which are transfered to the gas. As a result particles migrate inward toward the star and gas moves outward. High accuracy is necessary to account for the coupling. Boundary conditions must account for the inward/outward motions of the two phases. The code has been tested on one and two dimensional situations. The numerical results were compared with analytical solutions in three different cases: i) the disk is composed of a single gas component; ii) solid particles migrate in a steady flow of gas; iii) gas and solid particles evolve simultaneously. The code can easily reproduce known analytical solutions and is a powerful tool to study planetary formation at the decoupling stage. For example, the evolution of an over-density in the radial distribution of solids is found to differ significantly from the case where no back reaction of the particles onto the gas is assumed. Inside the bump, solid particles have a drift velocity approximately 16 times smaller than outside which significantly increases the residence time of the particles in the nebula. This opens some interesting perspectives to solve the timescale problem for the formation of planetesimals.

Original languageEnglish
Pages (from-to)365-379
Number of pages15
JournalAstronomy and Astrophysics
Volume431
Issue number1
DOIs
Publication statusPublished - 2005 Feb
Externally publishedYes

Fingerprint

protoplanetary disks
gases
gas
code
compressible fluids
protoplanets
planetesimal
steady flow
nebulae
radial distribution
angular momentum
decoupling
solid particle
residence time
boundary condition
kinetic energy
boundary conditions
timescale
stars
fluid

Keywords

  • Hydrodynamics
  • Planets and satellites: formation
  • Solar system: formation

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

A two-phase code for protoplanetary disks. / Inaba, Satoshi; Barge, P.; Daniel, E.; Guillard, H.

In: Astronomy and Astrophysics, Vol. 431, No. 1, 02.2005, p. 365-379.

Research output: Contribution to journalArticle

Inaba, S, Barge, P, Daniel, E & Guillard, H 2005, 'A two-phase code for protoplanetary disks', Astronomy and Astrophysics, vol. 431, no. 1, pp. 365-379. https://doi.org/10.1051/0004-6361:20041085
Inaba, Satoshi ; Barge, P. ; Daniel, E. ; Guillard, H. / A two-phase code for protoplanetary disks. In: Astronomy and Astrophysics. 2005 ; Vol. 431, No. 1. pp. 365-379.
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