A Derivation of the Entropy-Based Relativistic Smoothed Particle Hydrodynamics by Variational Principle
Mota Philipe1, Chen Wei-Xian3, Qian Wei-Liang2, 3, *
       

(Color online) Plots for SPH fit to the superposition of two random Gaussian function by using standard SPH as well as FPM. The original function is shown in blue dots, while SPH result is denoted by empty red triangles. The left column is the results for standard SPH, and the right column is those for FPM. The upper panel corresponds to uniform particle distribution, and lower panel corresponds to random particle distribution. In the calculations, we make use of 1000 SPH particles with h = 0.002 in all four cases.