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 26

Test 4: Toro test 1.

Toro’s test problem 1, with initial conditions (ρ_l, u_l, p_l) = (1.0, 0.75, 1.0) and (ρ_r, u_r, p_r) = (0.125, 0.0, 0.1), with maximum error metric (Δ_{max ρ}, Δ_{max u}, Δ_{max p}) = (1.0e-5, 1.0e-4, 1.0e-4), at time t = 0.8. This test is similar to Sod’s problem, but the left cell is initially ramming into the right cell, so the velocity at the shock front is somewhat higher.

doi: https://doi.org/10.1371/journal.pone.0039999.g026