Adaptive Mesh Refinement with a “Garden” Technique for Solving the Special Relativistic Hydrodynamics Equations

Abstract

When simulating relativistic gas flows, complex flows are often formed in zones that are much smaller than the entire calculation domain. The processes that take place outside such zones may greatly affect not only the behavior but also the formation of the complex flows. The use of adaptive grids is a universal method of calculation domain discretization in calculating such multi-scale flows. An approach describing adaptive grids with a “Garden” technique is proposed. As the name suggests, this approach is to divide the calculation domain into equal grid cells (an external grid), which are also divided (internal grids), and a microgrid is the atomic structure in each of the internal grids. The microgrids consist of cells whose numbers are fixed. All necessary operations are performed with the microgrids. In this paper, we use Adaptive Mesh Refinement (AMR) with the “Garden” technique for the simulation of relativistic gas flows.