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Domains and Partial Differential Equations in Modelica
Linköping University, Department of Computer and Information Science. Linköping University, The Institute of Technology.
Linköping University, Department of Computer and Information Science, PELAB - Programming Environment Laboratory. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-3435-4996
2001 (English)Conference paper, Published paper (Refereed)
Abstract [en]

Modelica — is an equation-based object-oriented modeling language that supports models containing ordinary differential equations and differential and algebraic equations. In this article, we make an object-oriented design for extending Modelica with partial differential equations (PDEs) in order to describe and solve initial and boundary-value problems. We present constructs for geometric description of domains and domain boundaries using parametric expressions, and a hierarchical specification of PDEs and boundary conditions using inheritance, with a general PDE as a base model and more specific, application oriented sub-models. Using instances of PDE models, boundary conditions and domains we specify a complete PDE problem. Two environments used for prototype implementations are also described.

Place, publisher, year, edition, pages
2001.
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-110180OAI: oai:DiVA.org:liu-110180DiVA: diva2:743388
Conference
42nd Conference on Simulation and Modeling (SIMS2001), 8-9 October 2001, Telemark University, Porsgrunn, Norway
Available from: 2014-09-04 Created: 2014-09-04 Last updated: 2015-09-23Bibliographically approved

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fulltext(239 kB)74 downloads
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File name FULLTEXT01.pdfFile size 239 kBChecksum SHA-512
35effbd068bc0984af4e187a2bec8edfc616d9f7115de28f467f7628401096fe8527fe8d54d73e89bd2229c28a21ad4d631973592cf756c0d491c5b5cc4f3873
Type fulltextMimetype application/pdf

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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.4431

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Saldamli, LevonFritzson, Peter

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf