Abstract
Smoothed particle hydrodynamics (SPH) is a Lagrangian particle method which is said to be the first of the meshless methods. The characteristic of these methods is that the interpolation uses a set of disordered points and the equations of motion appear similar to the equations of motion of a set of particles. The generic name, Smoothed Particle methods seems to capture these features nicely. A useful review of SPH (Monaghan (1992)) gives the basic technique, and how it can be applied to numerous problems relevant to astrophysics. There are some useful SPH programs on the Web one of which is Gadget. This code was written by astrophysicists but it is of general interest.
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References
Benz, W. and Asphaug, E. Icarus,107, 98, (1994)
Benz, W. and Asphaug, E. Comp. Phys. Comm., 87, 253, (1995)
Bonet, J. and Lok, T-S. L. Comp. Meth. App. Mech. and Eng. 180, 115, (1999).
Eckart, C. Phys. Fluids, 3, 421, (1960)
J. P. Gray, J. J. Monaghan, R. P. Swift Camp. Meth. App. Mech. and Eng. 190, 6641, (2001).
Holm, D. D. Physica D, 133, 215, (1999)
Monaghan, J.J. Jour. Computat. Phys., 64, 2, (1989)
Monaghan, J.J. Ann. Rev. Astron. Ap., 30, 543, (1992)
P. Cleary and J. J. Monaghan J. Computat. Phys. 148, 227–264, (1999).
J. J. Monaghan and A. Kos J. Waterways, Ports, Coastal and Ocean Eng. 125, 145–154, (1999).
J. J. Monaghan and A. Kos Phys. of Fluids A. 12, 622–630, (2000).
J. J. Monaghan J. Computat. Phys. 159, 290–311, (2000).
J. J. Monaghan and D. L. Price Mon. Not. Roy. Astra. Soc 328, 381, (2001).
H. Wozniakowski, Bull. Amer. Math. Soc. 24, 185, (1991).
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Monaghan, J.J. (2003). New Developments in Smoothed Particle Hydrodynamics. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56103-0_19
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DOI: https://doi.org/10.1007/978-3-642-56103-0_19
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