A compatibly differenced total energy conserving form of SPH

Details A compatibly differenced total energy conserving form of SPH A compatibly differenced total energy conserving form of SPH

2009-06-16

arxiv.org/abs/0906.3029v1

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

19 pages, 39 Postscript figures, uses elsart1p.cls

Scientific paper

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.

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