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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology

As of 10 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.29161.

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pith.paper-citation-record.v1
2607.29161 v1

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measured 52 of 52 reference resolution

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52 of 52 outbound references displayed

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Outbound references

Observation e7f802dd-3128-45b8-80b2-13c1897ccf7a · outbound

This paper cites https://github.com/su2code/Tutorials/tree/master/design/ Turbulent 2D Constrained RAE2822.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology https://github.com/su2code/Tutorials/tree/master/design/ Turbulent 2D Constrained RAE2822

Reference 1

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Observation 5a0fe42c-0c67-4cec-8da8-2a642546829d · outbound

This paper cites A trust-region method for derivative-free nonlinear constrained stochastic optimization.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology A trust-region method for derivative-free nonlinear constrained stochastic optimization

Reference 2

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Observation c7300d2d-2361-4a69-8501-3309b4edb4fe · outbound

This paper cites Convergence of trust-region methods based on probabilistic models.SIAM Journal on Optimization, 24(3):1238–1264, 2014.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Convergence of trust-region methods based on probabilistic models.SIAM Journal on Optimization, 24(3):1238–1264, 2014

Reference 3

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Observation 5e7e1501-743c-4612-8d4a-8791057c3df6 · outbound

This paper cites Robust optimization–methodology and applications.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust optimization–methodology and applications

Reference 4

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Observation 5dfbc990-4fb9-4bf2-9a1d-8e2f765f5488 · outbound

This paper cites Nonconvex robust optimization for problems with constraints.INFORMS journal on computing, 22(1):44–58, 2010.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Nonconvex robust optimization for problems with constraints.INFORMS journal on computing, 22(1):44–58, 2010

Reference 5

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Observation 31c92b45-5681-40bc-832c-bfc1b4c82b8b · outbound

This paper cites A comparative study of learning techniques for the compress- ible aerodynamics over a transonic rae2822 airfoil.Computers & Fluids, 251:105759, 2023.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology A comparative study of learning techniques for the compress- ible aerodynamics over a transonic rae2822 airfoil.Computers & Fluids, 251:105759, 2023

Reference 6

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Observation 01121b36-bf09-4a70-8d89-d6e27eb0d085 · outbound

This paper cites Further comparisons of interactive boundary-layer and thin-layer navier-stokes procedures.Journal of aircraft, 25(10):897–903, 1988.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Further comparisons of interactive boundary-layer and thin-layer navier-stokes procedures.Journal of aircraft, 25(10):897–903, 1988

Reference 7

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Observation e051b3f3-eb14-4900-8318-f091348687b5 · outbound

This paper cites Stochastic optimization using a trust- region method and random models.Mathematical Programming, 169(2):447–487, 2018.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Stochastic optimization using a trust- region method and random models.Mathematical Programming, 169(2):447–487, 2018

Reference 8

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Observation 4d9aff95-25a6-43c6-8047-c7784f6e7eb6 · outbound

This paper cites Randomized Derivative-Free Optimization of Noisy Convex Functions.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Randomized Derivative-Free Optimization of Noisy Convex Functions

Reference 9

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Observation 471e11a6-13c0-42c6-b0ce-c4a2b923c899 · outbound

This paper cites Wind tunnel wall interference correction for transonic airfoils with data-reduced ensemble kalman filter.Physics of Fluids, 36(10), 2024.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Wind tunnel wall interference correction for transonic airfoils with data-reduced ensemble kalman filter.Physics of Fluids, 36(10), 2024

Reference 10

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Observation 0c65457b-0b5b-4b39-878f-825d5a3fd4c7 · outbound

This paper cites SIAM, 2009.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology SIAM, 2009

Reference 11

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Observation 7f43cc13-e759-4557-9cdc-0b49e8c9c4d7 · outbound

This paper cites Bilevel derivative-free optimization and its applica- tion to robust optimization.Optimization Methods and Software, 27(3):561–577, 2012.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Bilevel derivative-free optimization and its applica- tion to robust optimization.Optimization Methods and Software, 27(3):561–577, 2012

Reference 12

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This paper cites Robust airfoil optimization and the importance of appropriately representing uncertainty.AIAA Journal, 55(11):3925–3939, 2017.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust airfoil optimization and the importance of appropriately representing uncertainty.AIAA Journal, 55(11):3925–3939, 2017

Reference 13

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This paper cites Aerofoil rae 2822-pressure distributions, and boundary layer and wake measurements.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Aerofoil rae 2822-pressure distributions, and boundary layer and wake measurements

Reference 14

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Observation 961f4e71-3787-4736-b395-0c4d6aa7cca2 · outbound

This paper cites Learning surrogate models for simulation-based optimization.AIChE Journal, 60(6):2211–2227, 2014.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Learning surrogate models for simulation-based optimization.AIChE Journal, 60(6):2211–2227, 2014

Reference 15

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Observation 60bb4ab7-67a1-456d-87b3-36d2219af59a · outbound

This paper cites Robust airfoil optimization using maximum expected value and expected maximum value approaches.AIAA journal, 50(9):1905–1919, 2012.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust airfoil optimization using maximum expected value and expected maximum value approaches.AIAA journal, 50(9):1905–1919, 2012

Reference 16

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Observation 77f6e502-7520-4253-afd2-75d22ae611dc · outbound

This paper cites Sensitivity and calibration of turbulence model in the presence of epistemic uncertainties.CEAS Aeronautical Journal, 11(1):33–47, 2020.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Sensitivity and calibration of turbulence model in the presence of epistemic uncertainties.CEAS Aeronautical Journal, 11(1):33–47, 2020

Reference 17

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Observation d9b60ded-e505-4e23-8eae-a1a9e9d03e4e · outbound

This paper cites Metamodel-based robust simulation- optimization: An overview.Uncertainty Management in Simulation-Optimization of Complex Systems: Algorithms and Applications, pages 27–54, 2015.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Metamodel-based robust simulation- optimization: An overview.Uncertainty Management in Simulation-Optimization of Complex Systems: Algorithms and Applications, pages 27–54, 2015

Reference 18

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Observation d5647f82-9a58-4a3b-bb1e-354e1ced88c2 · outbound

This paper cites Robust aerodynamic design optimization using poly- nomial chaos.Journal of Aircraft, 46(2):635–646, 2009.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust aerodynamic design optimization using poly- nomial chaos.Journal of Aircraft, 46(2):635–646, 2009

Reference 19

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Observation 72c1e9de-7ae6-4271-8efe-97f27be7f922 · outbound

This paper cites Su2: An open-source suite for multiphysics simulation and design.Aiaa Journal, 54(3):828–846, 2016.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Su2: An open-source suite for multiphysics simulation and design.Aiaa Journal, 54(3):828–846, 2016

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Observation 632ff07e-f28c-434f-94cf-d534367479a2 · outbound

This paper cites John Wiley & Sons, 2008.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology John Wiley & Sons, 2008

Reference 21

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Observation 811239f4-ad92-44b5-ba92-74bfcd6b0db4 · outbound

This paper cites Assess- ment of robust optimization for design of rotorcraft airfoils in forward flight.Aerospace Science and Technology, 107:106355, 2020.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Assess- ment of robust optimization for design of rotorcraft airfoils in forward flight.Aerospace Science and Technology, 107:106355, 2020

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Observation fff1c36a-928d-445c-8089-9b0657e54ddd · outbound

This paper cites Numerical study of wind-tunnel walls effects on transonic airfoil flow.AIAA journal, 41(6):1046–1054, 2003.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Numerical study of wind-tunnel walls effects on transonic airfoil flow.AIAA journal, 41(6):1046–1054, 2003

Reference 23

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This paper cites Cambridge University Press, 2023.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Cambridge University Press, 2023

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Observation 8497ab6a-39cb-464f-9fc8-ed97d3acbb7c · outbound

This paper cites Constrained optimization with low-rank tensors and applications to parametric problems with pdes.SIAM Journal on Scientific Computing, 39(1):A25–A54, 2017.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Constrained optimization with low-rank tensors and applications to parametric problems with pdes.SIAM Journal on Scientific Computing, 39(1):A25–A54, 2017

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Observation 8bc9fe17-0154-4c4f-8278-90ccbec0ea5c · outbound

This paper cites A practical guide to robust opti- mization.Omega, 53:124–137, 2015.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology A practical guide to robust opti- mization.Omega, 53:124–137, 2015

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Observation 587329b3-66b1-4784-85e1-f5d3ba234c37 · outbound

This paper cites Expected decrease for derivative-free algorithms using random subspaces.Mathematics of Computation, 94(351):277–304, 2025.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Expected decrease for derivative-free algorithms using random subspaces.Mathematics of Computation, 94(351):277–304, 2025

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Observation e3f4ff81-710b-4c0b-bea4-e77a050cdcd8 · outbound

This paper cites Test examples for nonlinear programming codes.Journal of optimization theory and applications, 30(1):127–129, 1980.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Test examples for nonlinear programming codes.Journal of optimization theory and applications, 30(1):127–129, 1980

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Observation de0e9573-1260-4fad-8e39-836b9b5f7484 · outbound

This paper cites Numerical solution of the euler equations by finite volume methods using runge kutta time stepping schemes.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Numerical solution of the euler equations by finite volume methods using runge kutta time stepping schemes

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Observation 66a8183d-3bb0-4466-a6f4-7ab0b40d2f91 · outbound

This paper cites D-optimal polynomial chaos expansion for adjoint-based aerodynamic robust optimization in transonic flows.Aerospace Science and Technology, page 110659, 2025.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology D-optimal polynomial chaos expansion for adjoint-based aerodynamic robust optimization in transonic flows.Aerospace Science and Technology, page 110659, 2025

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Observation b4d0becb-5b67-4870-8849-de003ce6e8f8 · outbound

This paper cites Optimisation of adaptive shock control bumps with structural constraints.Aerospace Science and Technology, 77:332–343, 2018.

Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Optimisation of adaptive shock control bumps with structural constraints.Aerospace Science and Technology, 77:332–343, 2018

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Observation 31058276-d111-4790-8aa4-11b7c8ae186d · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Cokriging for robust design optimization.AIAA journal, 50(11):2351–2364, 2012

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Observation eac3dfb5-d8fb-40a9-a04e-b53d83e62e7f · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust design optimization using surrogate models

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Observation 1ae4b850-3463-4385-8497-0d415caa7aeb · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Unresolved cited work

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Observation 694b868e-8af8-4122-bc96-cffeaa86edc8 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Unresolved cited work

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Observation f0bb68b5-f0f8-44a3-bacf-2b4568b28bd1 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Optimization and analysis of shock wave/boundary layer interaction for drag reduction by shock control bump.Aerospace Science and Technology, 42:196–208, 2015

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Observation c829d85b-2bd3-4cd9-982b-3524131e39d3 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Avoiding Geometry Improvement in Derivative-Free Model-Based Methods via Randomization

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Observation b7b866cc-afd5-43ea-9132-ee8dec8bb705 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust optimization of large-scale systems.Operations research, 43(2):264–281, 1995

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source=pdf_text observed=2026-08-03T12:32:59.420712Z digest=sha256:f81560f2ccce04f9d7cc762b5364be419dfed8542a4931b28cc9f3ecce31faa6

Observation 525bef9c-3dcd-4f07-bf1e-4f4873e1288f · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust aerodynamic morphing shape optimization for high-lift missions.Aerospace Science and Technology, 103:105897, 2020

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Observation c9ccbd1b-3463-4d3c-b51a-9f6e7df06cec · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Random gradient-free minimization of convex functions

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Observation aad3e265-a8a9-4f91-be5f-a575ebd9daa2 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Multifidelity approaches for optimization under uncertainty

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Observation 6ff9c41b-c217-4d15-bc8b-7388f6126b31 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Aerodynamic shape optimization for minimum robust drag and lift reliability constraint.Aerospace Science and Technology, 55:24– 33, 2016

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Observation f248d16c-cc5d-4c31-a790-217b23dbdc07 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Efficient bilevel surrogate approach for optimization under uncertainty of shock control bumps.AIAA Journal, 58(12):5228–5242, 2020

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Observation 48ce0577-43b7-4e6c-80b3-04dab3d39d52 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Robust design of transonic natu- ral laminar flow wings under environmental and operational uncertainties.AIAA Journal, 60(2):767–782, 2022

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Observation 972a5193-8032-4a2f-9183-9a2dfa972b64 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Surrogate models for uncertainty quantification: An overview

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Observation a51a65e4-d94c-490c-af2b-82aa1da92c76 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Application of deep learning based multi-fidelity surrogate model to robust aerodynamic design optimization.Aerospace Science and Technology, 92:722–737, 2019

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Observation fc89a7ac-2069-41fe-b240-67587a568b99 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Impact of turbulence models and shape parameterization on robust aerodynamic shape optimization.Journal of Aircraft, 56(3):1099–1115, 2019

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Observation d9f1840a-fa4f-410a-8adb-0a9c563d3700 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Comparison of full-field and integrated cfd convergence based on richardson extrapolation

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Observation a8c177e2-e332-4c43-a3ac-e02810a6eeb2 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology General robust-optimization formulation for nonlinear programming.Journal of optimization theory and applications, 132(1):111–124, 2007

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Observation bf27bbe6-1efa-49e3-8384-9a5642851f96 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Unresolved cited work

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Observation c4195105-29a1-4d90-a374-91a091be49d3 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology An inverse design method for airfoils based on pressure gradient distribution.Energies, 13(13):3400, 2020

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Observation b1bd220c-77c1-4a0f-8139-d8c7e776dc87 · outbound

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Robust Airfoil Design Optimization via a Bilevel Model-Based Methodology Turbulent transonic airfoil flow simulation using a pressure-based algorithm.AIAA Journal, 33(1):42–47, 1995

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