339 citations · 1.1k across the 14 of their papers we have counts for
9 papers · 1 filter
An energy-conserving formalism for adaptive gravitational force softening in SPH and N-body codes
D. J. Price, J. J. Monaghan
In this paper we describe an adaptive softening length formalism for collisionless N-body and self-gravitating Smoothed Particle Hydrodynamics (SPH) calculations which conserves mo…
Toy Stars in two dimensions
J. J. Monaghan, D. J. Price
Toy Stars are gas masses where the compressibility is treated without approximations but gravity is replaced by a force which, for any pair of masses, is along their line of centre…
Smoothed Particle Magnetohydrodynamics III. Multidimensional tests and the div B = 0 constraint
D. J. Price, J. J. Monaghan
In two previous papers (Price & Monaghan 2004a,b) (papers I,II) we have described an algorithm for solving the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle H…
3D Relativistic SPH
Stuart Muir, Joe Monaghan
In this paper we present the equations and some basic applications of relativistic SPH. The equations are generated under the assumption that there are no interaction terms between…
Smoothed Particle Magnetohydrodynamics II. Variational principles and variable smoothing length terms
D. J. Price, J. J. Monaghan
In this paper we show how a Lagrangian variational principle can be used to derive the SPMHD (smoothed particle magnetohydrodynamics) equations for ideal MHD. We also consider the…
Smoothed Particle Magnetohydrodynamics I. Algorithms and tests in one dimension
D. J. Price, J. J. Monaghan
In this paper we show how the Smoothed Particle Hydrodynamics (SPH) equations for ideal magnetohydrodynamics (MHD) can be written in conservation form with the positivity of the di…