A Comparison of Stellar Mass-Transfer & Merger Simulations

Computer Science – Performance

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We present detailed comparisons of 3D stellar mass-transfer and merger simulations that have been carried out using two very different numerical hydrodynamic algorithms -- a finite-volume "grid" code (typically using 4M cylindrical grid cells) and a smoothed-particle hydrodynamics (SPH) code (typically using 1M particles). In all cases the initial binary models contain synchronously rotating, n = 3/2 polytropic stars of a specified mass ratio (q = Mdonor/Maccretor) that are in circular orbit with one star (the donor) marginally filling its Roche lobe. In our "base" set of 8 comparison simulations, we have followed the evolution of binaries having four different initial mass ratios (q0 = 1.3, 0.7, 0.5, 0.4) and each is evolved using two different equations of state: polytropic (P) and ideal-gas (I). In addition, some evolutions are repeated using a different numerical resolution and/or a different initial episode of "driving" to initiate mass-transfer. In the case of the binary systems with q0 = 1.3 and q0 = 0.7, the codes show a remarkable level of quantitative agreement; in the former case, the two stars merge and, in the latter case, the donor gets tidally disrupted. Binary systems with q0 = 0.5 or 0.4 enter a long phase (> 10-20 orbits) of stable mass-transfer during which the binary separation steadily increases; tidal disruption of the donor may ultimately occur if sufficiently deep contact is made between the Roche lobe and the donor during an initial episode of "driving."
This work has been supported by grants AST-0708551 and DGE-0504507 from the U.S. National Science Foundation; by grants NNX07AG84G and NNX10AC72G from NASA's ATP program; and by grants of high-performance computing time on the TeraGrid, at LSU and across LONI (Louisiana Optical Network Initiative).

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