TITLE:
High Order Central Schemes Applied to Relativistic Multi-Component Flow Models
AUTHORS:
Tayabia Ghaffar, Muhammad Yousaf, Saira Sultan, Shamsul Qamar
KEYWORDS:
Multi-Component Flows, Relativistic Euler Equations, Central Schemes, Higher Order Accuracy
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.8,
May
5,
2014
ABSTRACT: The dynamics of
inviscid multi-component relativistic fluids may be modeled by the relativistic
Euler equations, augmented by one (or more) additional species equation(s). We
use the high-resolution staggered central schemes to solve these equations.
The equilibrium states for each component are coupled in space and time to have
a common temperature and velocity. The current schemes can handle strong
shocks and the oscillations near the interfaces are negligible, which usually
happens in the multi-component flows. The schemes also guarantee the exact mass
conservation for each component, the exact conservation of total momentum, and
energy in the whole particle system. The central schemes are robust, reliable,
compact and easy to implement. Several one- and two-dimensional numerical test
cases are included in this paper, which validate the application of these
schemes to relativistic multi-component flows.