Received
ABSTRACTContext. Massive stars are characterized by a significant loss of mass either via (nearly) spherically symmetric stellar winds or preexplosion pulses, or by aspherical forms of circumstellar matter (CSM) such as bipolar lobes or outflowing circumstellar equatorial disks. Since a significant fraction of most massive stars end their lives by a core collapse, supernovae (SNe) are always located inside large circumstellar envelopes created by their progenitors. Aims. We study the dynamics and thermal effects of collision between expanding ejecta of SNe and CSM that may be formed during, for example, a sgB[e] star phase, a luminous blue variable phase, around PopIII stars, or by various forms of accretion. Methods. For time-dependent hydrodynamic modeling we used our own grid-based Eulerian multidimensional hydrodynamic code built with a finite volumes method. The code is based on a directionally unsplit Roe's method that is highly efficient for calculations of shocks and physical flows with large discontinuities. Results. We simulate a SNe explosion as a spherically symmetric blast wave. The initial geometry of the disks corresponds to a density structure of a material that orbits in Keplerian trajectories. We examine the behavior of basic hydrodynamic characteristics, i.e., the density, pressure, velocity of expansion, and temperature structure in the interaction zone under various geometrical configurations and various initial densities of CSM. We calculate the evolution of the SN -CSM system and the rate of aspherical deceleration as well as the degree of anisotropy in density, pressure, and temperature distribution. Conclusions. Our simulations reveal significant asphericity of the expanding envelope above all in the case of dense equatorial disks. Our "low density" model however also shows significant asphericity in the case of the disk mass-loss rateṀ csd = 10 −6 M yr −1 . The models also show the zones of overdensity in the SN -disk contact region and indicate the development of Kelvin-Helmholtz instabilities within the zones of shear between the disk and the more freely expanding material outside the disk. P. Kurfürst et al.: Modeling of adiabatic interactions between supernovae ejecta and circumstellar disks that corresponding to viscous outflowing disks, which are typical for classical Be stars. However, we may assume to find this disk type in sgB[e] stars as well (for a review see, e.g., Zickgraf 1998; Hillier 2006), where a disk or rings of high density material have been detected (Kraus et al. 2013). Other types of dense equatorial disks or disk-like density enhancements may also be formed owing to, for example, magnetically compressed winds or binarity and accretion around certain classes of, for instance, B[e] stars (e.g., Hillier 2006), luminous blue variables (e.g., Schulte-Ladbeck et al. 1994;Davies et al. 2005), and post-AGB stars (e.g., Heger & Langer 1998).Although there have been a number of studies regarding interactions of SNe expansion with various forms of spherically symmet...