The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 17
Error metric growing as particles cross cell edges.
Panel A shows two particles pl and pr traveling through the fluid as part of wavefront w23. Panel B shows the particles’ error metrics Δpl and Δpr growing as the particles travel, and demonstrates how the error metric of each particle in a wavefront is tracked separately. Note how the slope of the error metric across each cell is proportional to the difference in the cells’ density ρ, velocity u, and pressure p at the edge the particle crossed to get into the cell.