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| Paper: |
Protoplanet–protoplanetary Disk Interaction with a Godunov Method |
| Volume: |
385, Numerical Modeling of Space Plasma Flows: Astronum-2007 |
| Page: |
121 |
| Authors: |
Masset, F.S. |
| Abstract: |
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 LeVeque (1998) 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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