This paper develops the high-order accurate entropy stable finite difference schemes for one-
and two-dimensional special relativistic hydrodynamic equations. The schemes are built on
the entropy conservative flux and the weighted essentially non-oscillatory (WENO)
technique as well as explicit Runge-Kutta time discretization. The key is to technically
construct the affordable entropy conservative flux of the semi-discrete second-order accurate
entropy conservative schemes satisfying the semi-discrete entropy equality for the found …