The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 12
Fluid cells showing wavefronts and tracer particles.
A fluid divided into three cells c1, c2, and c3. The dotted line at the right shows that there are periodic boundary conditions. Wavefront w23 originates between c2 and c3, and contains tracer particles pl and pr that travel through the fluid at the local speed of sound a = sqrt(γp/ρ). The constant γ depends on the fluid (it has a value of 1.4 for air). The ρ and p values are those of the cell the particle is traveling through. Note that w31 (not labeled) extends into both c3 and c1 due to the periodic boundary conditions.