s: In this paper, we propose an improvement in boundary condition computation of Smoothed Particle Hydrodynamics. Generally, to calculate a wall boundary in particle methods, a wall is converted into particle representation and used as static particles. However, it has several issues, e.g., a boundary is discretized into particles and thus does not result in accurate representation of the bound...

Conservation of potential vorticity (PV) and Kelvin’s circulation theorem express two of the fundamental concepts in ideal fluid dynamics. In this note, we discuss these two concepts in the context of the Smoothed Particle Hydrodynamics (SPH) method. We show that, if interpreted in an appropriate way, one can make a statement about conservation of circulation and PV in a particle fluid model su...

We discuss some 3D numerical simulations of accretion discs using the SPH method and a polytropic equation of state. We show that discs exist even for as large value of the polytropic index as 1.2, and that these discs are always in hydrostatic balance. We also show that even without any inflow, spiral shocks appear in the discs.

This project focuses on an application of network science to the field of cosmology, one of the less well-explored cross-domain collaborations. Cosmological simulations aim to reproduce the evolution of the universe, from its early homogeneous state 13.8 billion years ago, to the current highly inhomogeneous arrangement of galaxies separated by large voids of intergalactic space. In recent year...