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January 18, 2026International Journal for Numerical Methods in Engineering

Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis

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Authors

MZM. ZuñigaSPS. Ares de PargaRZR. Zorrilla

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Overview

This work demonstrates an efficient framework for simulating transonic flows in aerodynamics, suggesting robust aerodynamic analysis.

Key Points

  • This research aims to develop a physics-based framework for efficient simulation of steady transonic potential flows.
  • Developed a reduced order modelling framework for aerodynamic analysis.
  • Utilized proper orthogonal decomposition and least-squares Petrov-Galerkin projection.
  • Introduced a spatially weighted LSPG formulation for improved accuracy in shock-affected regions.
  • Implemented the methodology in the open-source Kratos Multiphysics framework.
  • Validated on benchmark configurations like the 2D NACA 0012 airfoil and 3D ONERA M6 wing.
  • Achieved accurate reconstructions of aerodynamic fields with relative errors on the order of .
  • Reduced dimensionality of full order models by approximately three orders of magnitude.
  • Demonstrated more accurate solutions in shock-dominated regions compared to standard data-driven surrogates.
  • Provided potential speed-ups in model evaluation for transonic flows, despite modest results in current settings.

Cite This Study

Zuñiga et al. (2026) studied this question.

synapsesocial.com/papers/696c79cde45ebfc9113cd447https://doi.org/10.1002/nme.70251
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