Smoothed Particle Hydrodynamics Using Interparticle Contact Algorithms

Smoothed particle hydrodynamics (SPH) is a modern effective technique of computer simulation in continuous media mechanics. SPH approximations are quite flexible and allow various constructions. In this paper, contact interaction between particles is introduced in SPH formulation. The concept is to insert in SPH approximations of a strength medium the velocity and stresses determined at the contact point by Riemann solution, instead of mean values between velocities and stresses of basic and surrounding particles. In this case, there is no need to use artificial viscosity. In a heat-conducting medium, the contact temperature is determined by the solution of a thermal discontinuity breakup and heat fluxes in particles are computed with the use of this temperature. The modified SPH approximations easily pass various standard tests and are easily realized in multidimensional codes.