The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 34
Sod’s test problem at low accuracy.
Sod’s problem with initial conditions (ρl, ul, pl) = (1.0, 0.0, 1.0) and (ρr, ur, pr) = (0.125, 0.0, 0.1), with the accuracy further reduced by increasing the maximum error metric to (Δmax ρ, Δmax u, Δmax p) = (1.0e-2, 1.0e-2, 1.0e-2) to show a more extreme failure, at time t = 1.5. The shock is even thicker due to the lower accuracy, and is “blown back” even farther from the correct location.