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Title: Mesh Algorithms for PDE with Sieve I: Mesh Distribution

We have developed a new programming framework, called Sieve, to support parallel numerical partial differential equation(s) (PDE) algorithms operating over distributed meshes. We have also developed a reference implementation of Sieve in C++ as a library of generic algorithms operating on distributed containers conforming to the Sieve interface. Sieve makes instances of the incidence relation, or arrows, the conceptual first-class objects represented in the containers. Further, generic algorithms acting on this arrow container are systematically used to provide natural geometric operations on the topology and also, through duality, on the data. Finally, coverings and duality are used to encode not only individual meshes, but all types of hierarchies underlying PDE data structures, including multigrid and mesh partitions. In order to demonstrate the usefulness of the framework, we show how the mesh partition data can be represented and manipulated using the same fundamental mechanisms used to represent meshes. We present the complete description of an algorithm to encode a mesh partition and then distribute a mesh, which is independent of the mesh dimension, element shape, or embedding. Moreover, data associated with the mesh can be similarly distributed with exactly the same algorithm. The use of a high level of abstraction withinmore » the Sieve leads to several benefits in terms of code reuse, simplicity, and extensibility. We discuss these benefits and compare our approach to other existing mesh libraries.« less
Authors:
 [1] ;  [1]
  1. Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, USA
Publication Date:
OSTI Identifier:
1197977
Grant/Contract Number:
AC02-06CH11357
Type:
Published Article
Journal Name:
Scientific Programming
Additional Journal Information:
Journal Volume: 17; Journal Issue: 3; Related Information: CHORUS Timestamp: 2016-08-23 12:04:13; Journal ID: ISSN 1058-9244
Publisher:
Hindawi Publishing Corporation
Sponsoring Org:
USDOE
Country of Publication:
Egypt
Language:
English