.. _references:

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 <http://adsabs.harvard.edu/abs/2012JCoPh.231..759P>`_, J. Comp. Phys. 231, 759 (`arXiv:1012.1885 <http://arxiv.org/abs/1012.1885>`_, `ADS <http://adsabs.harvard.edu/abs/2012JCoPh.231..759P>`_)

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 <https://ui.adsabs.harvard.edu/abs/2020MNRAS.495.3929P>`_, MNRAS 495, 3929 (`ADS <https://ui.adsabs.harvard.edu/abs/2020MNRAS.495.3929P>`_)
- Price, Daniel J.; Laibe, Guillaume; 2015, `A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics <http://adsabs.harvard.edu/abs/2015MNRAS.451.5332P>`_, MNRAS 451, 5332 (`ADS <http://adsabs.harvard.edu/abs/2015MNRAS.451.5332P>`_)
- James Wurster, Daniel Price and Ben Ayliffe; 2014, `Ambipolar diffusion in smoothed particle magnetohydrodynamics <http://adsabs.harvard.edu/abs/2014MNRAS.444.1104W>`_, MNRAS 444, 1104 (`arXiv:1408.1807 <http://arxiv.org/abs/1408.1807>`_, `ADS <http://adsabs.harvard.edu/abs/2014MNRAS.444.1104W>`_)
- Laibe, Guillaume; Price, Daniel J.; 2014, `Dusty gas with one fluid in smoothed particle hydrodynamics <http://adsabs.harvard.edu/abs/2014MNRAS.440.2147L>`_, MNRAS 440, 2147-2163 (`arXiv:1402.5249 <http://arxiv.org/abs/1402.5249>`_, `ADS <http://adsabs.harvard.edu/abs/2014MNRAS.440.2147L>`_)
- Laibe, Guillaume; Price, Daniel J.; 2014, `Dusty gas with one fluid <http://adsabs.harvard.edu/abs/2014MNRAS.440.2136L>`_, MNRAS 440, 2136-2146 (`arXiv:1402.5248 <http://arxiv.org/abs/1402.5248>`_, `ADS <http://adsabs.harvard.edu/abs/2014MNRAS.440.2136L>`_)
- Laibe, Guillaume; Price, Daniel J.; 2012, `Dusty gas in SPH: II - Implicit timestepping and astrophysical drag regimes <http://adsabs.harvard.edu/abs/2012MNRAS.420.2365L>`_, MNRAS 420, 2365-2376 (`arXiv:1111.3089 <http://arxiv.org/abs/1111.3089>`_, `ADS <http://adsabs.harvard.edu/abs/2012MNRAS.420.2365L>`_)
- Laibe, Guillaume; Price, Daniel J.; 2012, `Dusty gas in SPH: I - Algorithm and test suite <http://adsabs.harvard.edu/abs/2012MNRAS.420.2345L>`_, MNRAS 420, 2345-2364 (`arXiv:1111.3090 <http://arxiv.org/abs/1111.3090>`_, `ADS <http://adsabs.harvard.edu/abs/2012MNRAS.420.2345L>`_)
- Laibe, Guillaume; Price, Daniel J., 2011, `DUSTYBOX and DUSTYWAVE: Two test problems for numerical simulations of two fluid astrophysical dust-gas mixtures <http://adsabs.harvard.edu/abs/2011MNRAS.418.1491L>`_, MNRAS 418, 1491-1497 (`ADS <http://adsabs.harvard.edu/abs/2011MNRAS.418.1491L>`_)
- Price, D.J., 2010, `Smoothed Particle Magnetohydrodynamics IV. Using the Vector Potential <http://adsabs.harvard.edu/abs/2010MNRAS.401.1475P>`_, MNRAS 401, 1475-1499 (`arXiv:0909.2469 <http://arxiv.org/abs/0909.2469>`_, `ADS <http://adsabs.harvard.edu/abs/2010MNRAS.401.1475P>`_)
- Price, D.J., 2008, `Modelling discontinuities and Kelvin-Helmholtz instabilities in SPH <http://adsabs.harvard.edu/abs/2008JCoPh.227.10040P>`_, J. Comp Phys. 227, 10040-10057 (`arXiv:0709.2772 <http://arxiv.org/abs/0709.2772>`_, `ADS <http://adsabs.harvard.edu/abs/2008JCoPh.227.10040P>`_)
- Rosswog, S., Price, D.J., 2007, `MAGMA: A 3D, Lagrangian magnetohydrodynamics code for merger applications <http://adsabs.harvard.edu/abs/2007MNRAS.379..915R>`_, MNRAS, 379, 915-931 (`arXiv:0705.1441 <http://arxiv.org/abs/0705.1441>`_, `ADS <http://adsabs.harvard.edu/abs/2007MNRAS.379..915R>`_)
- Price, D.J., Monaghan, J.J., 2007, `An energy conserving formalism for adaptive gravitational force softening in SPH and N-body codes <http://adsabs.harvard.edu/abs/2007MNRAS.374.1347P>`_, MNRAS, 374, 1347 (`astro-ph/0610872 <http://www.arxiv.org/abs/astro-ph/0610872>`_, `ADS <http://adsabs.harvard.edu/abs/2007MNRAS.374.1347P>`_)
- Monaghan, J.J., Price, D.J., 2006, `Toy stars in two dimensions <http://adsabs.harvard.edu/abs/2006MNRAS.365..991M>`_, MNRAS, 365, 991-1006 (`astro-ph/0510713 <http://www.arxiv.org/abs/astro-ph/0510713>`_, `ADS <http://adsabs.harvard.edu/abs/2006MNRAS.365..991M>`_)
- Price, D.J., Monaghan, J.J., 2005, `Smoothed Particle Magnetohydrodynamics III. Multidimensional tests and the div B = 0 constraint <http://adsabs.harvard.edu/abs/2005MNRAS.364..384P>`_, MNRAS, 364, 384-406 (`astro-ph/0509083 <http://www.arxiv.org/abs/astro-ph/0509083>`_, `ADS <http://adsabs.harvard.edu/abs/2005MNRAS.364..384P>`_)
- Monaghan, J.J., Price, D.J., 2004, `Toy stars in one dimension <http://adsabs.harvard.edu/abs/2004MNRAS.350.1449M>`_, MNRAS, 350, 1449-1456 (`ADS <http://adsabs.harvard.edu/abs/2004MNRAS.350.1449M>`_)
- Price, D.J., Monaghan, J.J., 2004, `Smoothed Particle Magnetohydrodynamics II. Variational principles and variable smoothing length terms <http://adsabs.harvard.edu/abs/2004MNRAS.348..139P>`_, MNRAS, 348, 139-152 (`astro-ph/0310790 <http://www.arxiv.org/abs/astro-ph/0310790>`_, `ADS <http://adsabs.harvard.edu/abs/2004MNRAS.348..139P>`_)
- Price, D.J., Monaghan, J.J., 2004, `Smoothed Particle Magnetohydrodynamics I. Algorithm and tests in one dimension <http://adsabs.harvard.edu/abs/2004MNRAS.348..123P>`_, MNRAS, 348, 123-138 (`astro-ph/0310789 <http://www.arxiv.org/abs/astro-ph/0310789>`_, `ADS <http://adsabs.harvard.edu/abs/2004MNRAS.348..123P>`_)