Abstract
view Abstract Citations (67) References (21) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A Method for Calculations of Nonlinear Shear Flow: Application to Formation of Giant Planets in the Solar Nebula Korycansky, D. G. ; Papaloizou, J. C. B. Abstract We calculate the disturbance to an accretion disk flow that results from an embedded orbiting giant protoplanet. This involves nonlinear calculations of two-dimensional steady state flows with vorticity. The method we have developed for this purpose is a generalization of one often used in aerodynamics for potential flows. The velocity field is decomposed into components involving a vortical part and a potential part. Applications of conservation of vorticity and mass gives partial differential equations satisfied by the flow variables. The system is completed by the use of Bernoulli's equation, along with an equation of state and a momentum stream function. The method is fairly robust, efficient, and potentially applicable to a great many related problems of astrophysical fluid dynamics. The implications of our results for giant-planet formation are discussed, along with desirable improvements and extensions to the method. Publication: The Astrophysical Journal Supplement Series Pub Date: July 1996 DOI: 10.1086/192311 Bibcode: 1996ApJS..105..181K Keywords: ACCRETION; ACCRETION DISKS; HYDRODYNAMICS; METHODS: NUMERICAL; SOLAR SYSTEM: FORMATION full text sources ADS |
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