We present a smoothed particle hydrodynamic model for incompressible fluids. As opposed to solving a pressure Poisson equation in order to get a divergence-free velocity field, here incompressibility is achieved by requiring as a kinematic constraint that the volume of the fluid particles is constant. We use Lagrangian multipliers to enforce this restriction. These Lagrange multipliers play the...

In this review the theory and application of Smoothed particle hydrodynamics (SPH) since its inception in 1977 are discussed. Emphasis is placed on the strengths and weaknesses, the analogy with particle dynamics and the numerous areas where SPH has been successfully applied. 0034-4885/05/081703+57$90.00 © 2005 IOP Publishing Ltd Printed in the UK 1703

We investigate the core mass distribution (CMD) resulting from numerical models of turbulent fragmentation of molecular clouds. In particular we study its dependence on the sonic rms Mach numberMs. We analyze simulations withMs ranging from 1 to 15 to show that, asMs increases, the number of cores increases as well, while their average mass decreases. This stems from the fact that high Mach num...

Submitted for the DFD14 Meeting of The American Physical Society Towards numerical consistency and conservation for SPH approximations NIKOLAUS ADAMS, XIANGYU HU, SERGEJ LITVINOV, Technische Universität München — Typical conservative Smoothed particle hydrodynamics (SPH) approximations introduce two errors: smoothing error is due to smoothing of the gradient by an integration associated with a ...

We show that discreteness effects related to classical two-body relaxation produce spurious heating of the gaseous component in numerical simulations of galaxy formation. A simple analytic calculation demonstrates that this artificial heating will dominate radiative cooling in any simulation where the mass of an individual dark matter particle exceeds a certain critical value. This maximum mass...