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

doi:10.1371/journal.pone.0039999

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

Figure 27

Test 5: Toro test 2.

Toro’s test problem 2, with initial conditions are (ρ_l, u_l, p_l) = (1.0, −2.0, 0.4) and (ρ_r, u_r, p_r) = (1.0, 2.0, 0.4), with maximum error metric (Δ_{max ρ}, Δ_{max u}, Δ_{max p}) = (1.0e-5, 1.0e-5, 1.0e-5), at time t = 0.6. This test shows that RRM can correctly handle the near-vacuum state created in the center.

doi: https://doi.org/10.1371/journal.pone.0039999.g027