A family of conservative axisymmetric contact SPH schemes for impact engineering applications

A family of conservative schemes for the axisymmetric contact smoothed particle hydrodynamics (CSPH) method, which ensure the accuracy and stability in modeling of complex multi-material flows of compressible media, is introduced. Among these schemes, the most convenient ones are considered. Simulations with the proposed schemes may be also improved by embedding of MUSCL reconstruction into a numerical scheme, or by correcting the kernel gradient as was proposed earlier for the Cartesian case. Verification of the proposed method is performed on several test problems: Sod's cylindrical test, Taylor bar test, and Sedov's point explosion. The conservative properties of the scheme are demonstrated. Finally, a set of simulations on air shock wave weakening by a breakaway sand barrier is performed and compared to experimental results.