Particle hydrodynamics with tessellation techniques

摘要: Lagrangian smoothed particle hydrodynamics (SPH) is a well-established approach to model fluids in astrophysical problems, thanks its geometric flexibility and ability automatically adjust the spatial resolution clumping of matter. However, number recent studies have emphasized inaccuracies SPH treatment fluid instabilities. The origin these numerical problems can be traced back spurious surface effects across contact discontinuities, SPH's inherent prevention mixing at level. We here investigate new where density estimate carried out with help an auxiliary mesh constructed as Voronoi tessellation simulation particles instead adaptive smoothing kernel. This Voronoi-based improves scheme represent sharp discontinuities. show that this eliminates tension present play role suppressing certain find `Voronoi Particle Hydrodynamics' described produces comparable results than shocks, better ones turbulent regimes pure hydrodynamical simulations. also discuss formulations artificial viscosity needed how judiciously chosen correction forces derived order maintain high degree hence regular mesh. especially helpful simulating self-gravitating existing gravity solvers used for N-body