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Title: Variable-fidelity multipoint aerodynamic shape optimization with output-based adapted meshes

Abstract

This work presents a method to control the discretization error in multipoint aerodynamic shape optimization using output-based adapted meshes. The meshes are adapted via adjoint-based error estimates, taking into account both the objective and constraint output errors. A multi-fidelity optimization framework is then developed by taking advantage of the variable fidelity offered by adaptive meshes. The objective functional and its sensitivity at each design point (operating condition) are first evaluated on the same initial coarse mesh, which is then subsequently adapted for each design point individually as the shape optimization proceeds. The effort to set up the optimization is minimal since the initial mesh can be fairly coarse and easy to generate. As the shape approaches the optimal design, the mesh at each design point becomes finer, in regions necessary for that particular operating condition. The multi-fidelity framework is tightly coupled with the objective error estimation to ensure the optimization accuracy at each fidelity. Computational savings arise from a reduction of the mesh size when the design is far from optimal and avoiding an exhaustive search on low-fidelity meshes. The proposed method is demonstrated on multipoint drag minimization problems of a transonic airfoil with lift and area constraints. Improved accuracymore » and efficiency are shown compared to traditional fixed-fidelity optimization with a fixed computational mesh.« less

Authors:
 [1];  [1]
+ Show Author Affiliations
  1. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Aerospace Engineering
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Boeing Company
OSTI Identifier:
1851364
Alternate Identifier(s):
OSTI ID: 1638297
Grant/Contract Number:  
SC0010341; FG02-13ER26146; PC-1658167
Resource Type:
Accepted Manuscript
Journal Name:
Aerospace Science and Technology
Additional Journal Information:
Journal Volume: 105; Journal Issue: C; Journal ID: ISSN 1270-9638
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Engineering; Multipoint optimization; Variable-fidelity optimization; Discretization error; Adjoint-based error estimation; Mesh adaptation

Citation Formats

Chen, Guodong, and Fidkowski, Krzysztof J. Variable-fidelity multipoint aerodynamic shape optimization with output-based adapted meshes. United States: N. p., 2020. Web. doi:10.1016/j.ast.2020.106004.
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Chen, Guodong, & Fidkowski, Krzysztof J. Variable-fidelity multipoint aerodynamic shape optimization with output-based adapted meshes. United States. https://doi.org/10.1016/j.ast.2020.106004
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Chen, Guodong, and Fidkowski, Krzysztof J. Wed . "Variable-fidelity multipoint aerodynamic shape optimization with output-based adapted meshes". United States. https://doi.org/10.1016/j.ast.2020.106004. https://www.osti.gov/servlets/purl/1851364.
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@article{osti_1851364,
title = {Variable-fidelity multipoint aerodynamic shape optimization with output-based adapted meshes},
author = {Chen, Guodong and Fidkowski, Krzysztof J.},
abstractNote = {This work presents a method to control the discretization error in multipoint aerodynamic shape optimization using output-based adapted meshes. The meshes are adapted via adjoint-based error estimates, taking into account both the objective and constraint output errors. A multi-fidelity optimization framework is then developed by taking advantage of the variable fidelity offered by adaptive meshes. The objective functional and its sensitivity at each design point (operating condition) are first evaluated on the same initial coarse mesh, which is then subsequently adapted for each design point individually as the shape optimization proceeds. The effort to set up the optimization is minimal since the initial mesh can be fairly coarse and easy to generate. As the shape approaches the optimal design, the mesh at each design point becomes finer, in regions necessary for that particular operating condition. The multi-fidelity framework is tightly coupled with the objective error estimation to ensure the optimization accuracy at each fidelity. Computational savings arise from a reduction of the mesh size when the design is far from optimal and avoiding an exhaustive search on low-fidelity meshes. The proposed method is demonstrated on multipoint drag minimization problems of a transonic airfoil with lift and area constraints. Improved accuracy and efficiency are shown compared to traditional fixed-fidelity optimization with a fixed computational mesh.},
doi = {10.1016/j.ast.2020.106004},
journal = {Aerospace Science and Technology},
number = C,
volume = 105,
place = {United States},
year = {Wed Jul 08 00:00:00 EDT 2020},
month = {Wed Jul 08 00:00:00 EDT 2020}
}
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https://doi.org/10.1016/j.ast.2020.106004
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