Generating Optimal Initial Conditions for Smoothed Particle Hydrodynamics Simulations

Abstract We review existing smoothed particle hydrodynamics setup methods and outline their advantages, limitations, and drawbacks. We present a new method for constructing initial conditions for smoothed particle hydrodynamics simulations, which may also be of interest for N-body simulations, and demonstrate this method on a number of applications. This new method is inspired by adaptive binning techniques using weighted Voronoi tessellations. Particles are placed and iteratively moved based on their proximity to neighbouring particles and the desired spatial resolution. This new method can satisfy arbitrarily complex spatial resolution requirements.

[1]  C. L. Fryer,et al.  Modeling Core-Collapse Supernovae in Three Dimensions , 2002 .

[2]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[3]  D. Merritt,et al.  Spherical stellar systems with spheroidal velocity distributions , 1985 .

[4]  G. Efstathiou,et al.  Numerical techniques for large cosmological N-body simulations , 1985 .

[5]  Steven Diehl,et al.  Adaptive binning of X‐ray data with weighted Voronoi tessellations , 2006 .

[6]  S. Shapiro,et al.  Hydrodynamical evolution of coalescing binary neutron stars , 1992 .

[7]  Ben Moore,et al.  Generating Equilibrium Dark Matter Halos: Inadequacies of the Local Maxwellian Approximation , 2003, astro-ph/0309517.

[8]  E. Ramirez-Ruiz,et al.  TIDAL DISRUPTION AND IGNITION OF WHITE DWARFS BY MODERATELY MASSIVE BLACK HOLES , 2008, 0808.2143.

[9]  F. Timmes,et al.  56Ni PRODUCTION IN DOUBLE-DEGENERATE WHITE DWARF COLLISIONS , 2010, 1009.2507.

[10]  Chris L. Fryer,et al.  Gamma-Ray Lines from Asymmetric Supernovae , 2002, astro-ph/0301120.

[11]  L. Hernquist,et al.  Double-core evolution. 5: Three-dimensional effects in the merger of a red giant with a dwarf companion , 1994 .

[12]  Sung-Chul Yoon,et al.  Remnant evolution after a carbon–oxygen white dwarf merger , 2007, 0704.0297.

[13]  Chris L. Fryer,et al.  SUPERNOVA EXPLOSIONS: UNDERSTANDING MIXING , 2007 .

[14]  Jean-Pierre Raymond,et al.  ESAIM: Control, Optimisation and Calculus of Variations , 1999 .

[15]  Feedback in simulations of disc-galaxy major mergers , 2005, astro-ph/0503201.

[16]  C. Fryer,et al.  A CASE STUDY OF SMALL-SCALE STRUCTURE FORMATION IN THREE-DIMENSIONAL SUPERNOVA SIMULATIONS , 2012, 1206.1834.

[17]  An Alternative to Grids and Glasses: Quaquaversal Pre-Initial Conditions for N-Body Simulations , 2006, astro-ph/0606148.

[18]  V. Springel The Cosmological simulation code GADGET-2 , 2005, astro-ph/0505010.

[19]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[20]  A. Thakar,et al.  Smoothed Particle Hydrodynamics Simulations of Counterrotating Disk Formation in Spiral Galaxies , 1998, astro-ph/9805082.

[21]  Willy Benz,et al.  Stellar encounters involving neutron stars in globular cluster cores , 1992 .

[22]  Joseph P. Morris,et al.  A Study of the Stability Properties of Smooth Particle Hydrodynamics , 1996, Publications of the Astronomical Society of Australia.

[23]  J. Monaghan,et al.  A simulation of the collapse and fragmentation of cooling molecular clouds , 1991 .

[24]  Chris L. Fryer,et al.  Late-Time Convection in the Collapse of a 23 M☉ Star , 2006, The Astrophysical Journal.

[25]  W. Benz,et al.  On the Early Evolution of Forming Jovian Planets. I. Initial Conditions, Systematics, and Qualitative Comparisons to Theory , 2003, astro-ph/0301619.

[26]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[27]  Michael S. Warren,et al.  SNSPH: A Parallel Three-dimensional Smoothed Particle Radiation Hydrodynamics Code , 2005, astro-ph/0512532.

[28]  T. Quinn,et al.  Formation of Giant Planets by Fragmentation of Protoplanetary Disks , 2002, Science.

[29]  K. Holley-Bockelmann,et al.  Models of Cuspy Triaxial Galaxies , 2000, astro-ph/0011504.

[30]  J. Cuadra,et al.  Accretion of cool stellar winds on to Sgr A*: another puzzle of the Galactic Centre? , 2005, astro-ph/0502044.

[31]  I. Bonnell,et al.  Fragmentation of Elongated Cylindrical Clouds. V. Dependence of Mass Ratios on Initial Conditions , 1992 .

[32]  S. White,et al.  Simulations of X-ray clusters , 1994, astro-ph/9408069.

[33]  Chris L. Fryer,et al.  Binary Merger Progenitors for Gamma-Ray Bursts and Hypernovae , 2005 .

[34]  Chris L. Fryer,et al.  SPECTRA OF TYPE IA SUPERNOVAE FROM DOUBLE DEGENERATE MERGERS , 2010, 1007.0570.

[35]  J. Møller,et al.  Lectures on Random Voronoi Tessellations , 1994 .

[36]  W. Benz,et al.  Three-dimensional hydrodynamical simulations of stellar collisions. I - Equal-mass main-sequence stars , 1987 .

[37]  M. Steinmetz,et al.  Is AGN feedback necessary to form red elliptical galaxies? , 2007, Monthly Notices of the Royal Astronomical Society.

[38]  Michael S. Warren,et al.  Diffuse X-Rays from the Inner 3 Parsecs of the Galaxy , 2003, astro-ph/0309497.

[39]  Francesco Bullo,et al.  Esaim: Control, Optimisation and Calculus of Variations Spatially-distributed Coverage Optimization and Control with Limited-range Interactions , 2022 .

[40]  Submitted to the Astrophysical Journal Excitation of Activity in Galaxies by Minor Mergers , 1995 .

[41]  V. Springel,et al.  GADGET: a code for collisionless and gasdynamical cosmological simulations , 2000, astro-ph/0003162.

[42]  Michele Cappellari,et al.  Adaptive spatial binning of integral-field spectroscopic data using Voronoi tessellations , 2003, astro-ph/0302262.

[43]  L. Widrow Dynamical Models for Disk Galaxies with Triaxial Halos , 2008, 0801.4865.

[44]  D. Merritt,et al.  Distribution functions for spherical galaxies , 1985 .

[45]  Chris L. Fryer,et al.  SIMULATING THE COMMON ENVELOPE PHASE OF A RED GIANT USING SMOOTHED-PARTICLE HYDRODYNAMICS AND UNIFORM-GRID CODES , 2011, 1107.5072.

[46]  Chenglei Yang,et al.  On centroidal voronoi tessellation—energy smoothness and fast computation , 2009, TOGS.

[47]  T. Piran,et al.  Merging neutron stars. 1. Initial results for coalescence of noncorotating systems , 1994, astro-ph/9401032.

[48]  C. Fryer,et al.  The X-Ray Ridge Surrounding Sagittarius A* at the Galactic Center , 2005, astro-ph/0506244.

[49]  Qiang Du,et al.  Centroidal Voronoi Tessellations: Applications and Algorithms , 1999, SIAM Rev..

[50]  W. Benz,et al.  Stellar encounters involving red giants in globular cluster cores , 1991 .

[51]  S. White,et al.  The Assembly of galaxies in a hierarchically clustering universe , 1994, astro-ph/9408067.

[52]  Qiang Du,et al.  Acceleration schemes for computing centroidal Voronoi tessellations , 2006, Numer. Linear Algebra Appl..

[53]  Stuart L. Shapiro,et al.  Collisions of Giant Stars with Compact Objects: Hydrodynamical Calculations , 1991 .

[54]  A. Whitworth The Jeans instability in smoothed particle hydrodynamics , 1998 .

[55]  Discreteness effects in simulations of hot/warm dark matter , 2007, astro-ph/0702575.

[56]  L. Hernquist,et al.  Gasdynamics and starbursts in major mergers , 1995, astro-ph/9512099.