The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 38
Integral error norm vs. all maximum error metrics.
Maximum integral error norm emaxinorm and the maximum number of cells nmax vs. all three maximum error metrics Δmax ρ, Δmax u, and Δmax p for Sod’s problem. All three maximum error metrics are swept from 1.0e-1 to 1.0e-5 in tandem. Simulation was from time t = 0.0 to t = 1.5. This figure shows that there is a slight synergistic effect between the three maximum error metrics, since the minimum error achieved here is slightly lower than when each of the three is set to 1.0e-5 individually.