TY - JOUR
T1 - Numerical methods for three-dimensional analysis of shock instability in supernova cores
AU - Iwakami, W.
AU - Ohnishi, N.
AU - Kotake, K.
AU - Yamada, S.
AU - Sawada, Keisuke
N1 - Publisher Copyright:
© 2008 IOP Publishing Ltd.
PY - 2008/6/12
Y1 - 2008/6/12
N2 - We studied the standing accretion shock instability (SASI) for a core-collapse supernova explosion. SASI induces a nonspherically symmetric motion of a standing spherical shock wave. In order to investigate the growth of SASI, we solved the three-dimensional compressible Euler equations using ZEUS-MP/2 code based on the finite-difference method with a staggered mesh of spherical polar geometry. Although the von Neumann and Richtmyer artificial viscosity is used in ZEUS-MP/2 code to capture shock waves, we propose utilizing a tensor artificial viscosity in order to overcome the numerical instability regarded as the carbuncle phenomenon. This numerical instability emerges around the grid polar axis and precludes mode analysis of SASI.
AB - We studied the standing accretion shock instability (SASI) for a core-collapse supernova explosion. SASI induces a nonspherically symmetric motion of a standing spherical shock wave. In order to investigate the growth of SASI, we solved the three-dimensional compressible Euler equations using ZEUS-MP/2 code based on the finite-difference method with a staggered mesh of spherical polar geometry. Although the von Neumann and Richtmyer artificial viscosity is used in ZEUS-MP/2 code to capture shock waves, we propose utilizing a tensor artificial viscosity in order to overcome the numerical instability regarded as the carbuncle phenomenon. This numerical instability emerges around the grid polar axis and precludes mode analysis of SASI.
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U2 - 10.1088/1742-6596/112/4/042021
DO - 10.1088/1742-6596/112/4/042021
M3 - Conference article
AN - SCOPUS:84891079621
SN - 1742-6588
VL - 112
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - Part 4
M1 - 042021
T2 - 5th International Conference on Inertial Fusion Sciences and Applications, IFSA 2007
Y2 - 9 September 2007 through 14 September 2007
ER -