Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. In: Trease H, Fritts M, Crowley WP (eds) Advances in the free-lagrange method including contributions on adaptive gridding and the smooth particle hydrodynamics method SE - 26. Libersky LD, Petschek AG (1991) Smooth particle hydrodynamics with strength of materials. Stellingwerf RF, Wingate CA (1993) Impact modeling with smooth particle hydrodynamics. Monaghan J (1988) An introduction to SPH. Monaghan J (1982) Why particle methods work. Lucy L (1977) A numerical approach to the testing of the fission hypothesis.

The implementation is initially validated by a 3D benchmark study and then applied for the first time to a laser drilling problem.Kojić M, Filipović N, Stojanović B, Kojić N (2008) Computer modeling in bioengineering: theoretical background, examples and software. An efficient approach is additionally suggested to handle the associated boundary conditions, which relies on the idea of the color function and particle label.

These meshfree schemes can provide a second-order accurate discretization of the Laplace operator and abolish the inconsistency issue of the standard SPH kernels. In this paper, several enhanced schemes are implemented to address this problem by solving the heat transfer more accurately. Nonetheless, the vast majority of recent developments incorporate an inconsistent SPH kernel into their thermal simulations. Meshfree methods such as Smoothed Particle Hydrodynamics (SPH) have proven to be successful as a numerical tool for the computation of the heat transfer and material removal associated with a laser drilling problem. Numerical simulation of laser drilling is rapidly gaining interest in academia and industry since this process remains one of the most important and widely-used technologies in modern manufacturing.

Meshfree particle methods pdf