Art and Science

Art as a Riemann Problem: The Euler equations are evolved numerically with the following initial data: constant density = 1, no velocity and the pressure discontinuous in a complicated fashion. The color scheme is adjusted in order for the initial pressure to match a painting by Delaunay.

Pressure



Density



Mach number



The color scheme is set with the following gnuplot command:
set palette defined ( 0.0 0.04 0.04 0.04, 0.07 0.18 0.18 0.19, 0.14 0.26 0.18 0.29, 0.2 0.18 0.31 0.62, 0.3 0.50 0.59 0.72, 0.4 0.69 0.71 0.73, 0.45 0.58 0.58 0.60, 0.5 0.47 0.63 0.68, 0.55 0.11 0.29 0.32, 0.6 0.25 0.35 0.31, 0.7 0.52 0.68 0.41, 0.77 0.73 0.75 0.38, 0.85 0.80 0.53 0.08, 1.0 0.70 0.29 0.12 )

Last modified: Mon Jul 12 17:33:09 WEST 2021