In this study, we investigate the performance of smoothed particle hydrodynamics (SPH) method regarding computation confined flows in microchannels. Modeling and numerical simulation with SPH involve representation flowing matter as distinct mass points, leading to discretization Navier–Stokes equations. The computational methodology exhibits similarities other well-established methods, such mo...

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.

We show that discreteness effects related to classical two-body relaxation produce spurious heating of the gaseous component in numerical simulations of galaxy formation. A simple analytic calculation demonstrates that this artificial heating will dominate radiative cooling in any simulation where the mass of an individual dark matter particle exceeds a certain critical value. This maximum mass...

With wide applications, the smoothed particle hydrodynamics method (abbreviated as SPH) has become an important numerical tool for solving complex flows, in particular those with a rapidly moving free surface. For such problems, the incompressible Smoothed Particle Hydrodynamics (ISPH) has been shown to yield better and more stable pressure time histories than the traditional SPH by many papers...

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...