The present book provides an introduction to using space-filling curves (SFC) as tools in
scientific computing. Special focus is laid on the representation of SFC and on resulting …

Magnetic reconnection is commonly considered to be a mechanism of solar (eruptive) flares.
A deeper study of this scenario reveals, however, a number of open issues. Among them is …

This study presents a fully automated Cartesian-grid-based compressible flow solver,
named FrontFlow/Violet Hierarchical Cartesian for Aeronautics based on Compressible-flow …

Many astrophysical applications involve magnetized turbulent flows with shock waves. Ab
initio star formation simulations require a robust representation of supersonic turbulence in …

The interaction between magnetized space plasmas and obstacles like comets, asteroids or
planets is determined by a variety of physical processes that occur simultaneously on …

The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening has
recently been demonstrated in the context of a number of large-scale PDE-based …

We present a novel, hybrid block-adaptive scheme for use in solving sets of near-
conservation laws in general orthogonal coordinate systems. The adaptive mesh refinement …

We discuss the design decisions, design alternatives, and rationale behind the third
generation of Peano, a framework for dynamically adaptive Cartesian meshes derived from …

We describe the magnetohydrodynamics (MHD) code Cronos, which has been used in
astrophysics and space-physics studies in recent years. Cronos has been designed to be …

A stable and non-dissipative numerical scheme for Cartesian methods is proposed. The
proposed scheme is based on the second-order kinetic energy and entropy preserving …