S. Adami

TL;DR: A new formulation of the boundary condition at static and moving solid walls in SPH simulations based on a local force balance between wall and fluid particles and applies a pressure boundary condition on the solid particles to prevent wall penetration.

TL;DR: A new reproducing divergence approximation without the need for a matrix inversion is derived and a density-weighted color-gradient formulation is introduced to reflect the reality of an asymmetrically distributed surface-tension force.

TL;DR: A new algorithm is proposed that combines the homogenization of the particle configuration by a background pressure while at the same time reduces artificial numerical dissipation in weakly-compressible SPH method.

TL;DR: More complex simulations of an oscillating bubble, the bubble deformation in a shear flow, and of a Marangoni-force driven bubble show the capabilities of the proposed Lagrangian particle method to simulate interfacial flows with surfactants.

TL;DR: It is shown that symmetry-breaking relates to vanishing numerical viscosity and is driven systematically by algorithmic floating-point effects which are no longer hidden by numerical dissipation, and a systematic procedure is proposed to deal with such errors by numerical and algorithmic formulations which respect floating- point arithmetic.