Object-Oriented Implementation of Adaptive Mesh Refinement Algorithms

Issue title: The First Annual Object-Oriented Numerics Conference (OON-SKI '93)

Article type: Research Article

Authors: CRUTCHFIELD, WILLIAM Y. | WELCOME, MICHAEL L.

Affiliations: Applied Mathematics Group, Lawrence Livermore National Laboratory, Livermore, CA 94550

Abstract: 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.

Journal: Scientific Programming, vol. 2, no. 4, pp. 145-156, 1993