On the capabilities and limits of smoothed particle hydrodynamics. Steinmetz, M & Mueller, E. Paper abstract bibtex The capabilities and limits of smoothed particle hydrodynamics (SPH) are discussed, emphasizing the problems arising in SPH when a variable smoothing length is used and when an initial model is to be constructed. A new approach to solve the variable smoothing length problem is described which allows a more stable time integration without additional computing time. The approach is implemented into a new SPH code which uses a hierarchical binary tree method to handle self-gravity. The capabilities and limits of the SPH method are illustrated with a set of problems. Results for oscillating polytropes show that with the new approach the intrinsic numerical diffusion of the SPH method can be drastically reduced to much less than that of most multidimensional Eulerian and Lagrangian schemes.

@misc{steinmetz_m_capabilities_nodate,
title = {On the capabilities and limits of smoothed particle hydrodynamics},
url = {http://adsabs.harvard.edu/full/1993A&A...268..391S},
abstract = {The capabilities and limits of smoothed particle hydrodynamics (SPH) are discussed, emphasizing the problems arising in SPH when a variable smoothing length is used and when an initial model is to be constructed. A new approach to solve the variable smoothing length problem is described which allows a more stable time integration without additional computing time. The approach is implemented into a new SPH code which uses a hierarchical binary tree method to handle self-gravity. The capabilities and limits of the SPH method are illustrated with a set of problems. Results for oscillating polytropes show that with the new approach the intrinsic numerical diffusion of the SPH method can be drastically reduced to much less than that of most multidimensional Eulerian and Lagrangian schemes.},
urldate = {2010-06-15TZ},
author = {{Steinmetz, M} and Mueller, E.}
}

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