The hydrodynamics of collisions and mergers of main-sequence stars is discussed in the light of recent 3-D calculations using the smoothed particle hydrodynamics (SPH) method. Theoretical models for the formation of blue stragglers are reviewed in the context of recent comparisons between the observed properties of blue stragglers in dense globular clusters and the predictions of those models.

A general method for fluid solid interaction problem simulations has been developed in 3D algorithm using incompressible smoothed particle hydrodynamics (SPH) method. The solid is assumed to be rigid so it can be considered as moving boundaries for fluid. Using repulsive force has been proved to be an efficient boundary treatment for incompressible SPH method before with 2D examples. The advant...

In this paper we discuss the treatment of discontinuities in Smoothed Particle Hydrodynamics (SPH) simulations. In particular we discuss the difference between integral and differential representations of the fluid equations in an SPH context and how this relates to the formulation of dissipative terms for the capture of shocks and other discontinuities. This has important implications for many...

32.1 Smoothed ANOVA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 32.1.1 Zhang et al.’s SANOVA proposal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 32.1.2 Maŕi-Dell’Olmo et al.’s SANOVA proposal . . . . . . . . . . . . . . . . . . . . . . . . . . . 588 32.2 Some Specific Application...

Smoothed particle hydrodynamics is a completely mesh-free method to simulate fluid flow. Rather than representing the physical variables on a fixed grid, the fluid is represented by freely moving interpolation centers (”particles”). Apart from their position and velocity these particles carry information about the physical quantities of the considered fluid, such as temperature, composition, ch...

Smoothed particle hydrodynamics (SPH) and moving semi-implicit (MPS) methods are representative meshfree used to compute Lagrangian mechanics. The approximations of differential operators in the SPH MPS have several similarities, but theoretical discussion difference between them is limited. This study mathematically describes via a comprehensive derivation first- second-order derivative for ea...