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TREESPH - A unification of SPH with the hierarchical tree method
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1989
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TREESPH is a general‑purpose code for evolving three‑dimensional self‑gravitating fluids that unifies smoothed particle hydrodynamics with a hierarchical tree method, enabling larger particle numbers in a Lagrangian framework. The code determines hydrodynamic properties with a Monte‑Carlo‑like SPH approach while computing gravitational forces using a hierarchical tree algorithm with multipole expansions to approximate distant potentials, thereby reducing the cost per step. It achieves significant efficiency gains without the need for a grid. Published in The Astrophysical Journal Supplement Series, June 1989, DOI 10.1086/191344.
view Abstract Citations (924) References (48) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS TREESPH: A Unification of SPH with the Hierarchical Tree Method Hernquist, Lars ; Katz, Neal Abstract A new, general-purpose code for evolving three-dimensional, self-gravitating fluids in astrophyics, both with and without collisionless matter, is described. In this TREESPH code, hydrodynamic properties are determined using a Monte Carlo-like approach known as smoothed particle hydrodynamics (SPH). Unlike most previous implementations of SPH, gravitational forces are computed with a hierarchical tree algorithm. Multiple expansions are used to approximate the potential of distant groups of particles, reducing the cost per step. More significantly, the improvement in efficiency is achieved without the introduction of a grid. A unification of SPH with the hierarchical tree method is a natural way of allowing for larger N within a Lagrangian framework. The data structures used to manipulate the grouping of particles can be applied directly to certain aspects of the SPH calculation. Publication: The Astrophysical Journal Supplement Series Pub Date: June 1989 DOI: 10.1086/191344 Bibcode: 1989ApJS...70..419H Keywords: Computational Fluid Dynamics; Computerized Simulation; Data Smoothing; Magnetohydrodynamics; Trees (Mathematics); Dynamical Systems; Many Body Problem; Monte Carlo Method; Spatial Resolution; Fluid Mechanics and Heat Transfer; HYDRODYNAMICS; NUMERICAL METHODS full text sources ADS |