TY - JOUR
T1 - Numerical simulations of axisymmetric adiabatic flow past a gravitating solid sphere
AU - Matsuda, Takuya
AU - Sekino, Nobuhiro
AU - Shima, Eiji
AU - Sawada, Keisuke
N1 - Funding Information:
TM would like to thank Dr R. Taam. Numerical calculations were carried out on the Fujitsu VP200 and VP400E vector processors at the Data Processing Center of Kyoto University. The present work was supported in part by the Grant in Aid for Scientific Research (63540195) of the Ministry of Education, Science and Culture in Japan. TM also acknowledges the financial support of the Itoh Science Foundation.
Publisher Copyright:
© Royal Astronomical Society. Provided by the NASA Astrophysics Data System
PY - 1989/2
Y1 - 1989/2
N2 - Numerical simulations of the uniform axisymmetric flow past a gravitating solid sphere are performed using Eulerian equations. Only the cases of adiabatic flow with an adiabatic index equal to 5/3 and the Mach number of the uniform gas equal to 1.4 are considered. It is found that the flow is very unsteady if the central body does not absorb gas. An atmosphere is formed about the body from an incident gas, and vortex rings develop in the atmosphere because of the Kelvin-Helmholtz instability on the atmospheric surface. The detached distance of a bow shock oscillates heavily. It is found that the amplitude and the period of the oscillation depend on the numerical resolution. The finest grid seems to give a converged solution, though. It is pointed out that one must be careful in drawing quantitative figures from this type of simulation.
AB - Numerical simulations of the uniform axisymmetric flow past a gravitating solid sphere are performed using Eulerian equations. Only the cases of adiabatic flow with an adiabatic index equal to 5/3 and the Mach number of the uniform gas equal to 1.4 are considered. It is found that the flow is very unsteady if the central body does not absorb gas. An atmosphere is formed about the body from an incident gas, and vortex rings develop in the atmosphere because of the Kelvin-Helmholtz instability on the atmospheric surface. The detached distance of a bow shock oscillates heavily. It is found that the amplitude and the period of the oscillation depend on the numerical resolution. The finest grid seems to give a converged solution, though. It is pointed out that one must be careful in drawing quantitative figures from this type of simulation.
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U2 - 10.1093/mnras/236.4.817
DO - 10.1093/mnras/236.4.817
M3 - Article
AN - SCOPUS:18744399723
SN - 0035-8711
VL - 236
SP - 817
EP - 828
JO - Monthly Notices of the Royal Astronomical Society
JF - Monthly Notices of the Royal Astronomical Society
IS - 4
ER -