An Introduction to Smoothed Particle (Magneto-)Hydrodynamics — Benjamin Lewis

Smoothed particle hydrodynamics (SPH) is a mesh-free Lagrangian method for solving fluid dynamics problems. SPH has been applied to a wide array of problems, ranging from astrophysical and cosmological simulations to modelling the flow of oil in an engine or waves breaking on a shore. In this I will provide an introduction to SPH, including the underlying mathematical basis. In addition I will cover various potential implementation issues and known pitfalls.

Particularly in astrophysical calculations, the role of magnetic fields can be important. Therefore I will then show how this SF method can be extended to include magnetohydrodynamics (MHD), including some of the unique difficulties caused by the nature of magnetic fields.