Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows
I Kulikov, E Vorobyov - Journal of Computational Physics, 2016 - Elsevier
I Kulikov, E Vorobyov
Journal of Computational Physics, 2016•ElsevierAn 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.
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.
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.
Elsevier
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