Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows
Instrumentation and Methods for Astrophysics
2016-07-06 v1 Astrophysics of Galaxies
Abstract
An approach for constructing a low-dissipation numerical method is described. The method is based on a combination of the operator-splitting method, Godunov method, and piecewise-parabolic method on the local stencil. Numerical method was tested on a standard suite of hydrodynamic test problems. In addition, the performance of the method is demonstrated on a global test problem showing the development of a spiral structure in a gravitationally unstable gaseous galactic disk.
Cite
@article{arxiv.1607.01105,
title = {Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows},
author = {Igor Kulikov and Eduard Vorobyov},
journal= {arXiv preprint arXiv:1607.01105},
year = {2016}
}