Protoplanet--protoplanetary Disk Interaction with a Godunov method

Details Protoplanet--protoplanetary Disk Interaction with a Godunov method Protoplanet--protoplanetary Disk Interaction with a Godunov method

Apr 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aspc..385..121m&link_type=abstract

Numerical Modeling of Space Plasma Flows: Astronum 2007 ASP Conference Series, Vol. 385, proceedings of the conference held 10-1

Astronomy and Astrophysics

Astronomy

Scientific paper

Godunov methods possess a number of highly desirable properties, but they present undesirable drawbacks when dealing with nearly steady flows with source terms. This is of particular importance when simulating protoplanet embedded in a protoplanetary disk: the planet tidally excites spiral shocks in the disk, which are correctly described by a Godunov method, but a protoplanetary disk is also essentially a thin differentially rotating layer of gas in vertical hydrostatic equilibrium. This equilibrium is poorly handled by a classical Godunov method. I describe a method based upon the zone splitting technique of tet{leveque98} that enables one to achieve an accurate numerical hydrostatic equilibrium in a thin disk while keeping all the properties of Godunov methods.

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