Abstract ExaHyPE (“An Exascale Hyperbolic PDE Engine”) is a software engine for solving
systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are …

ALPACA is a simulation environment for simulating hyperbolic and (incompletely) parabolic
conservation laws with multiple distinct and immiscible phases. As prominent example …

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

Despite the enormous increase in computational power in the last decades, the numerical
study of complex flows remains challenging. State-of-the-art techniques to simulate …

The present paper studies solvers for partial differential equations that work on dynamically
adaptive grids stemming from spacetrees. Due to the underlying tree formalism, such grids …

Spacetrees are a popular formalism to describe dynamically adaptive Cartesian grids. Even
though they directly yield a mesh, it is often computationally reasonable to embed regular …

We present a family of spacetree-based multigrid realizations using the tree's multiscale
nature to derive coarse grids. They align with matrix-free geometric multigrid solvers as they …

The present paper studies two adaptive mesh refinement (AMR) codes whose grids rely on
recursive subdivison in combination with space-filling curves (SFCs). A non-overlapping …

Many multithreaded, grid-based, dynamically adaptive solvers for partial differential
equations permanently have to traverse subgrids (patches) of different and changing sizes …

Spacetrees are a popular formalism to describe dynamically adaptive Cartesian grids.
Though they directly yield an adaptive spatial discretisation, ie a mesh, it is often more …