uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
An Object-Oriented Framework for PDE Solvers
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis. (Software Aspects of High-Performance Computing)
1999 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The issue of how to develop reusable software in scientific computing is addressed. With object-oriented analysis and design, an extendable set of collaborating objects - a framework named COMPOSE - is suggested in the area of "PDE solvers", i.e., programs that numerically solve partial differential equations (PDEs).

Objects have several advantages. First, they represent abstractions from the problem domain, here the field of scientific computing. Second, with careful object-oriented analysis and design, these objects can be reused in different contexts. Third, the resulting programs are very flexible, and it is possible to change the mathematical problem or the numerical method, by only replacing a few objects. Fourth, new kinds of objects can be created via the object-oriented concept of inheritance. This is useful, e.g., when the numerical simulation of a new kind of PDE is addressed.

COMPOSE handles finite differences on three-dimensional overlapping grids, a variety of time stepping methods, and several types of PDEs, including hyperbolic, parabolic, and elliptic PDEs. In particular, COMPOSE offers a flexible coupling of PDEs, which increases reusability and encourages development of components separately. To this end, COMPOSE also supports a debugging technique for verification of new numerical components.

As an application of COMPOSE, the incompressible Navier-Stokes equations are solved in a two-dimensional domain. Comparisons with another fluid solver, developed in a more traditional way, show that solvers written with COMPOSE are competitive with respect to performance. In addition, they have a higher degree of flexibility and reusability.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 1999. , 29 p.
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 423
Keyword [en]
PDE, Navier-Stokes, object-oriented, overlapping grids
National Category
Software Engineering
Research subject
Numerical Analysis
URN: urn:nbn:se:uu:diva-283ISBN: 91-554-4379-6 (print)OAI: oai:DiVA.org:uu-283DiVA: diva2:162116
Public defence
1999-02-26, Room 2146, Polacksbacken, Uppsala University, Uppsala, 10:15 (English)
Available from: 1999-02-05 Created: 1999-02-05 Last updated: 2015-06-03Bibliographically approved

Open Access in DiVA

No full text
Buy this publication >>

Search in DiVA

By author/editor
Åhlander, Krister
By organisation
Department of Scientific ComputingNumerical Analysis
Software Engineering

Search outside of DiVA

GoogleGoogle Scholar

Total: 1137 hits
ReferencesLink to record
Permanent link

Direct link