Exploring Capabilities within ForTrilinos by Solving the 3D Burgers EquationReport as inadecuate

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Scientific Programming - Volume 20 2012, Issue 3, Pages 275-292

Sandia National Laboratories, Livermore, CA, USA

Università di Roma “Tor Vergata”, Roma, Italy

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present the first three-dimensional, partial differential equation solver to be built atop the recently released, open-source ForTrilinos package http:-trilinos.sandia.gov-packages-fortrilinos. ForTrilinos currently provides portable, object-oriented Fortran 2003 interfaces to the C++ packages Epetra, AztecOO and Pliris in the Trilinos library and framework ACM Trans. Math. Softw.313 2005, 397–423. Epetra provides distributed matrix and vector storage and basic linear algebra calculations. Pliris provides direct solvers for dense linear systems. AztecOO provides iterative sparse linear solvers. We demonstrate how to build a parallel application that encapsulates the Message Passing Interface MPI without requiring the user to make direct calls to MPI except for startup and shutdown. The presented example demonstrates the level of effort required to set up a high-order, finite-difference solution on a Cartesian grid. The example employs an abstract data type ADT calculus Sci. Program.164 2008, 329–339 that empowers programmers to write serial code that lower-level abstractions resolve into distributed-memory, parallel implementations. The ADT calculus uses compilable Fortran constructs that resemble the mathematical formulation of the partial differential equation of interest.

Author: Karla Morris, Damian W.I. Rouson, M. Nicole Lemaster, and Salvatore Filippone

Source: https://www.hindawi.com/


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