A radially symmetric Gaussian profile about r=0 spreads out radially.
For comparison, the 1d equations with radial source terms are solved in subdirectory 1drad on a fine grid.
Left column: Scatter plot of all grid values $q(x,y,z)$
plotted against r = radial distance of
grid cell from origin. The red line is the 1d solution.
Right column: Comparison of q(x,y=0,z=0) (blue line) and 1d solution (red line)
Several frames are shown around time t=1.3 when the ingoing shock bounces at the origin. This is not well resolved in this 3d computation.
See also: A comparison of results using split and unsplit methods
The results above were obtained using CFL = 0.9.
Below are some comparisons with CFL = 0.7. The left column is CFL = 0.9, the right column is CFL = 0.7.
