Model Reduction for Steady Hypersonic Aerodynamics via Conservative Manifold Least-Squares Petrov–Galerkin Projection
Abstract
High-speed aerospace engineering applications rely heavily on computational fluid dynamics (CFD) models for design and analysis. This reliance on CFD models necessitates performing accurate and reliable uncertainty quantification (UQ) of the CFD models, which can be very expensive for hypersonic flows. Additionally, UQ approaches are many-query problems requiring many runs with a wide range of input parameters. One way to enable computationally expensive models to be used in such many-query problems is to employ projection-based reduced-order models (ROMs) in lieu of the (high-fidelity) full-order model (FOM). In particular, the least-squares Petrov–Galerkin (LSPG) ROM (equipped with hyper-reduction) has demonstrated the ability to significantly reduce simulation costs while retaining high levels of accuracy on a range of problems, including subsonic CFD applications. This allows LSPG ROM simulations to replace the FOM simulations in UQ studies, making UQ tractable even for large-scale CFD models. This work presents the first application of LSPG to a hypersonic CFD application, the Hypersonic International Flight Research Experimentation 1 (HIFiRE-1) in a three-dimensional, turbulent Mach 7.1 flow. This paper shows the ability of the ROM to significantly reduce computational costs while maintaining high levels of accuracy in computed quantities of interest.
- Authors:
-
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- NexGen Analytics, Sheridan, WY (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Univ. of Washington, Seattle, WA (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1770340
- Report Number(s):
- SAND-2020-11705J
Journal ID: ISSN 0001-1452; 692231
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- AIAA Journal
- Additional Journal Information:
- Journal Volume: 59; Journal Issue: 4; Journal ID: ISSN 0001-1452
- Publisher:
- AIAA
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Blonigan, Patrick J., Rizzi, Francesco, Howard, Micah, Fike, Jeffrey A., and Carlberg, Kevin T. Model Reduction for Steady Hypersonic Aerodynamics via Conservative Manifold Least-Squares Petrov–Galerkin Projection. United States: N. p., 2021.
Web. doi:10.2514/1.j059785.
Blonigan, Patrick J., Rizzi, Francesco, Howard, Micah, Fike, Jeffrey A., & Carlberg, Kevin T. Model Reduction for Steady Hypersonic Aerodynamics via Conservative Manifold Least-Squares Petrov–Galerkin Projection. United States. https://doi.org/10.2514/1.j059785
Blonigan, Patrick J., Rizzi, Francesco, Howard, Micah, Fike, Jeffrey A., and Carlberg, Kevin T. Thu .
"Model Reduction for Steady Hypersonic Aerodynamics via Conservative Manifold Least-Squares Petrov–Galerkin Projection". United States. https://doi.org/10.2514/1.j059785. https://www.osti.gov/servlets/purl/1770340.
@article{osti_1770340,
title = {Model Reduction for Steady Hypersonic Aerodynamics via Conservative Manifold Least-Squares Petrov–Galerkin Projection},
author = {Blonigan, Patrick J. and Rizzi, Francesco and Howard, Micah and Fike, Jeffrey A. and Carlberg, Kevin T.},
abstractNote = {High-speed aerospace engineering applications rely heavily on computational fluid dynamics (CFD) models for design and analysis. This reliance on CFD models necessitates performing accurate and reliable uncertainty quantification (UQ) of the CFD models, which can be very expensive for hypersonic flows. Additionally, UQ approaches are many-query problems requiring many runs with a wide range of input parameters. One way to enable computationally expensive models to be used in such many-query problems is to employ projection-based reduced-order models (ROMs) in lieu of the (high-fidelity) full-order model (FOM). In particular, the least-squares Petrov–Galerkin (LSPG) ROM (equipped with hyper-reduction) has demonstrated the ability to significantly reduce simulation costs while retaining high levels of accuracy on a range of problems, including subsonic CFD applications. This allows LSPG ROM simulations to replace the FOM simulations in UQ studies, making UQ tractable even for large-scale CFD models. This work presents the first application of LSPG to a hypersonic CFD application, the Hypersonic International Flight Research Experimentation 1 (HIFiRE-1) in a three-dimensional, turbulent Mach 7.1 flow. This paper shows the ability of the ROM to significantly reduce computational costs while maintaining high levels of accuracy in computed quantities of interest.},
doi = {10.2514/1.j059785},
journal = {AIAA Journal},
number = 4,
volume = 59,
place = {United States},
year = {Thu Apr 01 00:00:00 EDT 2021},
month = {Thu Apr 01 00:00:00 EDT 2021}
}
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