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 …

This chapter provides a friendly review of the central concepts of probability theory focusing
on random variables and their properties that eventually lead to the notion of a stochastic …

Afivo is a framework for simulations with adaptive mesh refinement (AMR) on quadtree (2D)
and octree (3D) grids. The framework comes with a geometric multigrid solver, shared …

Almost all approaches to solving partial differential equations (PDEs) are based upon a
spatial discretization of the computational domain—a grid. This paper presents an algorithm …

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

This paper presents the general purpose framework Peano for the solution of partial
differential equations (PDE) on adaptive Cartesian grids. The strict structuredness and …

We study the time-dependent heat equation on its space-time domain that is discretised by a
k-spacetree. k-spacetrees are a generalisation of the octree concept and are a discretisation …

In this contribution, we present our new adaptive Lattice Boltzmann implementation within
the Peano framework, with special focus on nanoscale particle transport problems. With the …

Abstract The Navier–Stokes equations (NS) and the Lattice–Boltzmann method (LBM) are
the main two types of models used in computational fluid dynamics yielding similar results …

This contribution describes recent developments and enhancements of the coupling tool
preCICE and the flow solver Peano used for our partitioned simualtions of fluid-structure …