Object oriented implementation of adaptive mesh refinement algorithms.

摘要

We describe C++ classes that simplify development of Adaptive Mesh Refinement (AMR) algorithms. The classes divide into two groups, generic classes that are broadly useful in adaptive algorithms, and application-specific classes that are the basis for our AMR algorithm. We employ two languages, with C++ responsible for the high-level data structures, and FORTRAN responsible for low-level numerics. The C++ implementation is as fast as the original FORTRAN implementation. Use of inheritance has allowed us to extend the original AMR algorithm to other problems with greatly reduced development time.