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The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics

Figure 21

Particle intersection time and maximum error time.

This figure shows all four possible event times for a single wavefront. Consider a fluid divided into four cells c₁, c₂, c_3, and c₄. Wavefront w₂₃ contains particles p_l and p_r. Particle p_l intersects cell c₁ at time t_{intersection l}, and reaches the maximum error metric at t_{max error l}. Particle p_r intersects cell c₄ at time t_{intersection r}, and reaches the maximum error metric at t_{max error r}.

doi: https://doi.org/10.1371/journal.pone.0039999.g021