File:Cells8000 MaxDensity DensityProfile GravitationalPotential.png

Simulation for \(N_r = 8000\): Time evolution of the maximum density \(\rho_{\max}(t)\) in the innermost cell (left), radial density profile \(\rho(r)\) of the converged simulation compared to the analytical reference solution (centre) and gravitational potential \(\phi_{\mathrm{ext}}(r)\) compared to the analytically expected potential solution (right).