The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

The review considers the modelling process for stellar convection rather than specific
astrophysical results. For achieving reasonable depth and length we deal with …

Context. Computational astrophysics nowadays routinely combines grid-adaptive
capabilities with modern shock-capturing, high resolution spatio-temporal integration …

We present a description of the adaptive mesh refinement (AMR) implementation of the
PLUTO code for solving the equations of classical and special relativistic …

We introduce two new volume-of-fluid interface reconstruction algorithms and compare the
accuracy of these algorithms to four other widely used volume-of-fluid interface …

We present a new N-body and gas dynamics code, called Nyx, for large-scale cosmological
simulations. Nyx follows the temporal evolution of a system of discrete dark matter particles …

We describe a single step, second-order accurate Godunov scheme for ideal MHD based on
combining the piecewise parabolic method (PPM) for performing spatial reconstruction, the …

The aim of this work is to present a new model based on the volume of fluid method and the
algebraic slip mixture model in order to solve multiphase gas–fluid flows with different …

Relativistic hydro and magnetohydrodynamics provide continuum fluid descriptions for gas
and plasma dynamics throughout the visible universe. We present an overview of state-of …

An immersed boundary method for computing viscous, subsonic compressible flows with
complex shaped stationary immersed boundaries is presented. The method employs a …