On the Boundary Condition and Related Instability in the Smoothed Particle Hydrodynamics |
Chong Ye,Philipe Mota,Jin Li,Kai Lin,Wei-Liang Qian |
Fig. 5 (Color online) The numerical solutions of the Burgers' equation for standard SPH by employing the boundary condition with mirrored imaginary SPH particles.The plots show the trajectories of the positions (on the l.h.s.) and velocities (on the r.h.s.) of SPH particles, by curves in different colors.Here the calculations are carried out for the range $x\in (0,2)$, while the results are only shown in the vicinity region of $x\sim 1$. |