In this review the basic principles of smooth particle hydrodynamics (SPH) are outlined in a pedagogical fashion. To start, a basic set of SPH equations that is used in many codes throughout the astrophysics community is derived explicitly. Much of SPH’s success relies on its excellent conservation properties and therefore the numerical conservation of physical invariants receives much attentio...

The simulation of plane impinging jets using the Lagrangian technique of smooth particle hydrodynamics is presented. In Section 1 the impingement of a plane jet onto a stationary surface is considered for Reynolds numbers 800, 4000, 8000 and Froude number 4. For each case, the height of the associated streams is measured and compared with both experimental and theoretical results. The agreement...

This formulation requires well defined boundary conditions; and solvers to those systems are, so far, computationally expensive. The existing SPH-algorithm solves the dynamic in a Projection-Correction Scheme extrapolate the ˆ uk+1, the velocity-projection, without pressure term and later correct it via solving the p as an explicit function of density. Moreover, since field variables is approxi...