Simulation of shock-wave reflection in a one-dimensional shock tube using smoothed particle hydrodynamics

Simulations of shock-wave reflection in a model one-dimensional shock tube have been made using a Lagrangian technique called smoothed particle hydrodynamics. Different boundary methods have been compared with regard to their ability to model a one-dimensional reflecting shock wave in a shock tube. Oar simulations show that the introduction of imaginary particles appears to be the most effective method of boundary simulation for transient shock reflection. The choice of artificial diffusion treatment is ambiguous. Use of flux-corrected transport minimizes shock smearing, but produces postreflection oscillations. Artificial viscosity produces better postreflection behavior, but greater smearing.