The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 14
Chopping, flattening, and new cell creation.
Panel A shows the chopping of wavefront w23 out of the fluid, which chops off the right side of c2 and the left side of c3. Panel B shows the resulting chopped parts c2c and c3c. Panel C shows the flattening of the two chopped parts into a new cell c4 with the same mass, momentum, and energy. Panel D shows the insertion of the new cell c4 into the fluid and the creation of the new wavefronts w24 and w43 on its edges.