The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 36
Integral error norm vs. maximum velocity error metric.
Maximum integral error norm emaxinorm and the maximum number of cells nmax vs. the maximum velocity error metric Δmax u for Sod’s problem. Δmax u is swept from 1.0e-1 to 1.0e-5, while Δmax ρ and Δmax p are held constant at 1.0e-1. Simulation was from time t = 0.0 to t = 1.5. This figure shows that the error cannot be decreased past a certain point solely by adjusting Δmax u, since there is little velocity gradient across the contact (where most of the error is concentrated in this test).