Exploring numerical methods for parallel, multirate AMR on multiblock domains

What is ForestClaw?

ForestClaw is a parallel, multi-block adaptive finite volume code for solving PDEs on mapped, logically Cartesian meshes. For solving hyperbolic problems using explicit, single step algorithms, ForestClaw's block-structured adaptive algorithm, including multi-rate time stepping, is essentially that described by Berger, Oliger and Collela in 1984 and 1989. The hyperbolic solvers are currently based on ClawPack (R. J. LeVeque). Future plans include support for general method-of-lines solvers in a multi-rate setting.

Where ForestClaw departs from the standard Berger-Oliger block-structured approach is that the multi-resolution grid hierarchy is not stored as overlapping, nested grids but rather as a composite structure of non-overlapping fixed sized grids, each of which is stored as a leaf in a forest of quad- or octrees. The particular code base we use for managing the tree is p4est (Carsten Burstedde, Univ. of Bonn).

Why develop another AMR code?

Currently, there are several AMR codes for doing block-structured AMR. What are the advantages of the ForestClaw approach?

Where can I get ForestClaw?

The code is now in the earliest stages of development, but we very much have in mind that this code should be publicly available. Please check back for status updates.


Carsten Burstedde (University of Bonn, Germany), and Donna Calhoun (Boise State University, USA)


Donna Calhoun would like to acknowledge the support of the Isaac Newton Institute and the program Adaptive Multiscale Numerics for the Ocean and Atmosphere, where much of the initial work in developing ForestClaw was done.


Scalar advection

Reaction-diffusion equations

Last modified: Mon Oct 28 06:41:01 MDT 2013