The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 24
Test 2: Modified Sod’s test problem with 100-to-1 pressure differential.
A modified version of Sod’s problem with initial conditions are (ρl, ul, pl) = (1.0, 0.0, 1.0) and (ρr, ur, pr) = (0.01, 0.0, 0.01), with maximum error metric (Δmax ρ, Δmax u, Δmax p) = (1.0e-4, 1.0e-4, 1.0e-3), at time t = 1.5. This test shows that RRM still gives good results on a problem that has a 100-to-1 pressure differential instead of the 10-to-1 differential of Sod’s problem.