| Abstract: | This paper extends the adaptive moving mesh method developed by Tang
and Tang 36] to two-dimensional (2D) relativistic hydrodynamic (RHD) equations.
The algorithm consists of two "independent" parts: the time evolution of the RHD
equations and the (static) mesh iteration redistribution. In the first part, the RHD
equations are discretized by using a high resolution finite volume scheme on the fixed
but nonuniform meshes without the full characteristic decomposition of the governing equations. The second part is an iterative procedure. In each iteration, the mesh
points are first redistributed, and then the cell averages of the conservative variables
are remapped onto the new mesh in a conservative way. Several numerical examples
are given to demonstrate the accuracy and effectiveness of the proposed method. |
