Papers describing algorithms in NDSPMHD

The main reference for NDSPMHD is the accompanying review paper, which should be cited whenever the code is used for scientific purposes:

• Price, D. J., 2012, Smoothed Particle Hydrodynamics and Magnetohydrodynamics, J. Comp. Phys. 231, 759 (arXiv:1012.1885, ADS)

Apart from this, the following papers describe in detail the algorithms developed in NDSPMHD and the supplied test problems:

• Price, Daniel J.; Laibe, Guillaume; 2020, A solution to the overdamping problem when simulating dust-gas mixtures with smoothed particle hydrodynamics, MNRAS 495, 3929 (ADS)

• Price, Daniel J.; Laibe, Guillaume; 2015, A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics, MNRAS 451, 5332 (ADS)

• James Wurster, Daniel Price and Ben Ayliffe; 2014, Ambipolar diffusion in smoothed particle magnetohydrodynamics, MNRAS 444, 1104 (arXiv:1408.1807, ADS)

• Laibe, Guillaume; Price, Daniel J.; 2014, Dusty gas with one fluid in smoothed particle hydrodynamics, MNRAS 440, 2147-2163 (arXiv:1402.5249, ADS)

• Laibe, Guillaume; Price, Daniel J.; 2014, Dusty gas with one fluid, MNRAS 440, 2136-2146 (arXiv:1402.5248, ADS)

• Laibe, Guillaume; Price, Daniel J.; 2012, Dusty gas in SPH: II - Implicit timestepping and astrophysical drag regimes, MNRAS 420, 2365-2376 (arXiv:1111.3089, ADS)

• Laibe, Guillaume; Price, Daniel J.; 2012, Dusty gas in SPH: I - Algorithm and test suite, MNRAS 420, 2345-2364 (arXiv:1111.3090, ADS)

• Laibe, Guillaume; Price, Daniel J., 2011, DUSTYBOX and DUSTYWAVE: Two test problems for numerical simulations of two fluid astrophysical dust-gas mixtures, MNRAS 418, 1491-1497 (ADS)

• Price, D.J., 2010, Smoothed Particle Magnetohydrodynamics IV. Using the Vector Potential, MNRAS 401, 1475-1499 (arXiv:0909.2469, ADS)

• Price, D.J., 2008, Modelling discontinuities and Kelvin-Helmholtz instabilities in SPH, J. Comp Phys. 227, 10040-10057 (arXiv:0709.2772, ADS)

• Rosswog, S., Price, D.J., 2007, MAGMA: A 3D, Lagrangian magnetohydrodynamics code for merger applications, MNRAS, 379, 915-931 (arXiv:0705.1441, ADS)

• Price, D.J., Monaghan, J.J., 2007, An energy conserving formalism for adaptive gravitational force softening in SPH and N-body codes, MNRAS, 374, 1347 (astro-ph/0610872, ADS)

• Monaghan, J.J., Price, D.J., 2006, Toy stars in two dimensions, MNRAS, 365, 991-1006 (astro-ph/0510713, ADS)

• Price, D.J., Monaghan, J.J., 2005, Smoothed Particle Magnetohydrodynamics III. Multidimensional tests and the div B = 0 constraint, MNRAS, 364, 384-406 (astro-ph/0509083, ADS)

• Monaghan, J.J., Price, D.J., 2004, Toy stars in one dimension, MNRAS, 350, 1449-1456 (ADS)

• Price, D.J., Monaghan, J.J., 2004, Smoothed Particle Magnetohydrodynamics II. Variational principles and variable smoothing length terms, MNRAS, 348, 139-152 (astro-ph/0310790, ADS)

• Price, D.J., Monaghan, J.J., 2004, Smoothed Particle Magnetohydrodynamics I. Algorithm and tests in one dimension, MNRAS, 348, 123-138 (astro-ph/0310789, ADS)