The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 40
Sod’s problem with solid boundaries at x = −5 and x = 5.
Sod’s problem with solid boundaries at x = −5 and x = 5, from time t = 0 to t = 20. The initial conditions are (ρl, ul, pl) = (1.0, 0.0, 1.0) and (ρr, ur, pr) = (0.125, 0.0, 0.1). The maximum error metric is (Δmax ρ, Δmax u, Δmax p) = (1.0e-4, 1.0e-2, 1.0e-2). The shock wave hits the right boundary, reflects off it, and travels back across the fluid until it reflects off the left boundary.