OpenMDAO: an open-source framework for multidisciplinary design, analysis, and optimization

Multidisciplinary design optimization (MDO) is concerned with solving design problems involving coupled numerical models of complex engineering systems. While various MDO software frameworks exist, none of them take full advantage of state-of-the-art algorithms to solve coupled models efficiently. F...

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Published in:Structural and multidisciplinary optimization Vol. 59; no. 4; pp. 1075 - 1104
Main Authors: Gray, Justin S., Hwang, John T., Martins, Joaquim R. R. A., Moore, Kenneth T., Naylor, Bret A.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2019
Springer Nature B.V
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ISSN:1615-147X, 1615-1488
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Abstract Multidisciplinary design optimization (MDO) is concerned with solving design problems involving coupled numerical models of complex engineering systems. While various MDO software frameworks exist, none of them take full advantage of state-of-the-art algorithms to solve coupled models efficiently. Furthermore, there is a need to facilitate the computation of the derivatives of these coupled models for use with gradient-based optimization algorithms to enable design with respect to large numbers of variables. In this paper, we present the theory and architecture of OpenMDAO, an open-source MDO framework that uses Newton-type algorithms to solve coupled systems and exploits problem structure through new hierarchical strategies to achieve high computational efficiency. OpenMDAO also provides a framework for computing coupled derivatives efficiently and in a way that exploits problem sparsity. We demonstrate the framework’s efficiency by benchmarking scalable test problems. We also summarize a number of OpenMDAO applications previously reported in the literature, which include trajectory optimization, wing design, and structural topology optimization, demonstrating that the framework is effective in both coupling existing models and developing new multidisciplinary models from the ground up. Given the potential of the OpenMDAO framework, we expect the number of users and developers to continue growing, enabling even more diverse applications in engineering analysis and design.
AbstractList Multidisciplinary design optimization (MDO) is concerned with solving design problems involving coupled numerical models of complex engineering systems. While various MDO software frameworks exist, none of them take full advantage of state-of-the-art algorithms to solve coupled models efficiently. Furthermore, there is a need to facilitate the computation of the derivatives of these coupled models for use with gradient-based optimization algorithms to enable design with respect to large numbers of variables. In this paper, we present the theory and architecture of OpenMDAO, an open-source MDO framework that uses Newton-type algorithms to solve coupled systems and exploits problem structure through new hierarchical strategies to achieve high computational efficiency. OpenMDAO also provides a framework for computing coupled derivatives efficiently and in a way that exploits problem sparsity. We demonstrate the framework’s efficiency by benchmarking scalable test problems. We also summarize a number of OpenMDAO applications previously reported in the literature, which include trajectory optimization, wing design, and structural topology optimization, demonstrating that the framework is effective in both coupling existing models and developing new multidisciplinary models from the ground up. Given the potential of the OpenMDAO framework, we expect the number of users and developers to continue growing, enabling even more diverse applications in engineering analysis and design.
Author Gray, Justin S.
Martins, Joaquim R. R. A.
Moore, Kenneth T.
Naylor, Bret A.
Hwang, John T.
Author_xml – sequence: 1
  givenname: Justin S.
  surname: Gray
  fullname: Gray, Justin S.
  email: justin.s.gray@nasa.gov
  organization: NASA Glenn Research Center
– sequence: 2
  givenname: John T.
  surname: Hwang
  fullname: Hwang, John T.
  organization: University of California, San Diego
– sequence: 3
  givenname: Joaquim R. R. A.
  orcidid: 0000-0003-2143-1478
  surname: Martins
  fullname: Martins, Joaquim R. R. A.
  organization: Department of Aerospace Engineering, University of Michigan
– sequence: 4
  givenname: Kenneth T.
  surname: Moore
  fullname: Moore, Kenneth T.
  organization: DB Consulting Group (NASA Glenn Research Center)
– sequence: 5
  givenname: Bret A.
  surname: Naylor
  fullname: Naylor, Bret A.
  organization: DB Consulting Group (NASA Glenn Research Center)
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Sat Nov 29 02:50:13 EST 2025
Tue Nov 18 20:15:33 EST 2025
Fri Feb 21 02:35:14 EST 2025
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Issue 4
Keywords Derivative computation
Coupled systems
Adjoint methods
Sensitivity analysis
Complex systems
Multidisciplinary design optimization
Python
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c429t-db0520f79f30d586d0f7e256db1e2a1ba45ceaf38399efbf38a9614cec5a57413
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crossref_primary_10_1007_s00158_019_02211_z
crossref_citationtrail_10_1007_s00158_019_02211_z
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PublicationDate 2019-04-01
PublicationDateYYYYMMDD 2019-04-01
PublicationDate_xml – month: 04
  year: 2019
  text: 2019-04-01
  day: 01
PublicationDecade 2010
PublicationPlace Berlin/Heidelberg
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PublicationTitle Structural and multidisciplinary optimization
PublicationTitleAbbrev Struct Multidisc Optim
PublicationYear 2019
Publisher Springer Berlin Heidelberg
Springer Nature B.V
Publisher_xml – name: Springer Berlin Heidelberg
– name: Springer Nature B.V
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SubjectTerms Algorithms
Computational Mathematics and Numerical Analysis
Design analysis
Design optimization
Engineering
Engineering Design
Multidisciplinary design optimization
Numerical models
Open source software
Research Paper
Theoretical and Applied Mechanics
Topology optimization
Trajectory optimization
Wing design
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