A compatibly differenced total energy conserving form of SPH
Instrumentation and Methods for Astrophysics
2009-06-18 v1 Cosmology and Nongalactic Astrophysics
Abstract
We describe a modified form of Smoothed Particle Hydrodynamics (SPH) in which the specific thermal energy equation is based on a compatibly differenced formalism, guaranteeing exact conservation of the total energy. We compare the errors and convergence rates of the standard and compatible SPH formalisms on analytic test problems involving shocks. We find that the new compatible formalism reliably achieves the expected first-order convergence in such tests, and in all cases improves the accuracy of the numerical solution over the standard formalism.
Cite
@article{arxiv.0906.3029,
title = {A compatibly differenced total energy conserving form of SPH},
author = {J. Michael Owen},
journal= {arXiv preprint arXiv:0906.3029},
year = {2009}
}
Comments
19 pages, 39 Postscript figures, uses elsart1p.cls