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Model reduction for hypersonic aerodynamics via conservative LSPG projection and hyper-reduction

Conference · · AIAA Scitech Forum
DOI:https://doi.org/10.2514/6.2020-0104· OSTI ID:1619242
 [1];  [2];  [3];  [4];  [4]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. Univ. of Washington, Seattle, WA (United States)
  3. NexGen Analytics, Sheridan, WY (United States)
  4. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
High-speed aerospace engineering applications rely heavily on computational fluid dynamics (CFD) models for design and analysis due to the expense and difficulty of flight tests and experiments. This reliance on CFD models necessitates performing accurate and reliable uncertainty quantification (UQ) of the CFD models. However, it is very computationally expensive to run CFD for hypersonic flows due to the fine grid resolution required to capture the strong shocks and large gradients that are typically present. Furthermore, 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. 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 computationally inexpensive LSPG ROM simulations to replace the full-order model simulations in UQ studies, which makes this many-query task tractable, even for large-scale CFD models. This work presents the first application of LSPG to a hypersonic CFD application. In particular, we present results for LSPG ROMs of the HIFiRE-1 in a three-dimensional, turbulent Mach 7.1 flow, showcasing the ability of the ROM to significantly reduce computational costs while maintaining high levels of accuracy in computed quantities of interest.
Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
DOE Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1619242
Report Number(s):
SAND--2020-4925J; 685991; ISBN: 978-1-62410-595-1
Conference Information:
Journal Name: AIAA Scitech Forum Journal Volume: 2020
Country of Publication:
United States
Language:
English

References (20)

Conservative model reduction for finite-volume models journal October 2018
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
  • Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel
  • International Journal for Numerical Methods in Engineering, Vol. 86, Issue 2 https://doi.org/10.1002/nme.3050
journal October 2010
Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods journal November 2001
Uncertainty Quantification of Hypersonic Reentry Flows with Sparse Sampling and Stochastic Expansions journal January 2015
Investigations and Improvement of Robustness of Reduced-Order Models of Reacting Flow conference January 2019
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows journal June 2013
Model Reduction of Computational Aerothermodynamics for Hypersonic Aerothermoelasticity journal January 2012
Hypersonic Vehicle Flight Dynamics with Coupled Aerodynamic and Reduced-Order Propulsive Models conference June 2012
Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction journal February 2017
Ground Test Studies of the HIFiRE-1 Transition Experiment Part 1: Experimental Results journal November 2008
Towards Performance Portability in a Compressible CFD Code conference June 2017
Sequential Quadratic Programming book January 2006
Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations: Application to Transport and Continuum Mechanics journal May 2008
Multistep Uncertainty Quantification Approach Applied to Hypersonic Reentry Flows journal January 2014
Nonlinear Thermal Reduced-Order Modeling for Hypersonic Vehicles journal July 2017
Uncertainty Propagation in Hypersonic Aerothermoelastic Analysis journal January 2014
Reduced-Order Aerothermoelastic Framework for Hypersonic Vehicle Control Simulation journal August 2011
Proper Orthogonal Decomposition for Reduced-Order Thermal Solution in Hypersonic Aerothermoelastic Simulations journal May 2011
Turbulence, Coherent Structures, Dynamical Systems and Symmetry book January 2010
Uncertainty Quantification for Mars Entry, Descent, and Landing Reconstruction Using Adaptive Filtering journal May 2014

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