Free access
Astron. Astrophys. Suppl. Ser.
Volume 141, Number 1, January I 2000
Page(s) 165 - 173
DOI: 10.1051/aas:2000116

Astron. Astrophys. Suppl. Ser. 141, 165-173

FARGO: A fast eulerian transport algorithm for differentially rotating disks

F. Masset

Send offprint request: F. Masset

School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, London E1 4NS, UK

Received July 19; accepted October 20, 1999


We present an efficient and simple modification of the standard transport algorithm used in explicit eulerian fixed polar grid codes, aimed at getting rid of the average azimuthal velocity when applying the Courant condition. This results in a much larger timestep than the usual procedure, and it is particularly well-suited to the description of a Keplerian disk where one is traditionally limited by the very demanding Courant condition on the fast orbital motion at the inner boundary. In this modified algorithm, the timestep is limited by the perturbed velocity and by the shear arising from the differential rotation. FARGO stands for "Fast Advection in Rotating Gaseous Objects''. The speed-up resulting from the use of the FARGO algorithm is problem dependent. In the example presented here, which shows the evolution of a Jupiter sized protoplanet embedded in a minimum mass protoplanetary nebula, the FARGO algorithm is about an order of magnitude faster than a traditional transport scheme, with a much smaller numerical diffusivity.

Key words: accretion -- accretion disks -- hydrodynamics -- methods: numerical

Copyright The European Southern Observatory (ESO)

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access.

An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account.
    In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see You should disable this module if you wish to use the OpenURL server that you or your library have defined.