The approximate Newton–Krylov (ANK) solver in ADflow was developed between 2017 and 2018. The underlying theory of the solver was published in the Journal of Computational Physics by (Yildirim et al., 2019). Below, is a list of papers that used the ANK solver to obtain the presented results. The robustness of this solver was crucial for many of these publications.
A Jacobian-free approximate Newton–Krylov startup strategy for RANS simulations
A. Yildirim, G. K. W. Kenway, C. A. Mader, and J. R. R. A. Martins
Journal of Computational Physics, 397108741, 2019
Aircraft Ducted Heat Exchanger Aerodynamic Shape and Thermal Optimization
E. J. Adler, A. H. R. Lamkin, and J. R. R. A. Martins
ASME Journal of Heat and Mass Transfer, 147(1):011902, 2025
Aerostructural Optimization of the Simple Transonic Wing Using MPhys, ADflow, and TACS
A. C. Gray, and J. R. R. A. Martins
AIAA SciTech Forum, 2025
Robust Schur-Complement Solvers and Large-Scale Multidisciplinary Design Optimization
M. A. S. Abdul-Kaiyoom, A. Yildirim, and J. R. R. A. Martins
34th Congress of the International Council of the Aeronautical Sciences, 2024
A Proposed Benchmark Model for Practical Aerostructural Optimization of Aircraft Wings
A. C. Gray, and J. R. R. A. Martins
AIAA SciTech Forum, 2024
Aerodynamic shape optimization of filleted intersections with surface mesh deformation
H. M. Hajdik, A. Yildirim, and J. R. R. A. Martins
34th Congress of the International Council of the Aeronautical Sciences, 2024
Shaping Sustainable Aviation with CFD-Based Design Optimization
J. R. R. A. Martins, M. A. S. Abdul-Kaiyoom, E. J. Adler, A. C. Gray, H. Hajdik, E. Jonsson, A. H. R. Lamkin, B. Pacini, and A. Yildirim
34th Congress of the International Council of the Aeronautical Sciences, 2024
RANS-Based Multipoint Aeropropulsive Design Optimization of an Over-Wing Nacelle Configuration
M. A. S. Abdul-Kaiyoom, A. Yildirim, and J. R. R. A. Martins
AIAA Aviation Forum, 2023
Geometrically Nonlinear High-fidelity Aerostructural Optimization Including Geometric Design Variables
A. C. Gray, G. J. Kennedy, and J. R. R. A. Martins
AIAA Aviation Forum, 2023
Development of a Cartesian Cut-Cell Solver for Viscous Flows
A. Kleb, K. J. Fidkowski, and J. R. R. A. Martins
AIAA SciTech Forum, 2023
Advancements in Coupled Aeropropulsive Design Optimization for High-Bypass Turbofan Engines
A. H. R. Lamkin, A. Yildirim, J. R. R. A. Martins, and N. A. Wukie
AIAA Aviation Forum, 2023
Minimum Trim Drag for a Three-Surface Supersonic Transport Aircraft
S. Seraj, and J. R. R. A. Martins
AIAA Aviation Forum, 2023
Dissipation and time step scaling strategies for low and high Mach number flows
S. Seraj, A. Yildirim, J. L. Anibal, and J. R. R. A. Martins
Journal of Computational Physics, 491112358, 2023
Aerodynamic Shape Optimization of a Supersonic Transport Considering Low-Speed Stability
S. Seraj, and J. R. R. A. Martins
AIAA SciTech Forum, 2022
Predicting the High-Angle-of-Attack Characteristics of a Delta Wing at Low Speed
S. Seraj, and J. R. R. A. Martins
Journal of Aircraft, 59(4):1071–1081, 2022
Boundary Layer Ingestion Benefit for the STARC-ABL Concept
A. Yildirim, J. S. Gray, C. A. Mader, and J. R. R. A. Martins
Journal of Aircraft, 59(4):896–911, 2022
A Nonlinear Schur Complement Solver for CFD-Based Multidisciplinary Models
A. Yildirim, J. S. Gray, and J. R. R. A. Martins
Eleventh International Conference on Computational Fluid Dynamics, 2022
Geometrically Nonlinear High-fidelity Aerostructural Optimization for Highly Flexible Wings
A. C. Gray, and J. R. R. A. Martins
Proceedings of the AIAA SciTech Forum, 2021
Aerostructural Wing Optimization for a Hydrogen Fuel Cell Aircraft
B. J. Brelje, and J. R. R. A. Martins
Proceedings of the AIAA SciTech Forum, 2021
RANS-Based Aerodynamic Shape Optimization of a Wing Considering Propeller-Wing Interaction
S. S. Chauhan, and J. R. R. A. Martins
Journal of Aircraft, 58(3):497–513, 2021
Rapid Airfoil Design Optimization via Neural Networks-based Parameterization and Surrogate Modeling
X. Du, P. He, and J. R. R. A. Martins
Aerospace Science and Technology, 113106701, 2021
Coupled Newton–Krylov Time-Spectral Solver for Flutter and Limit Cycle Oscillation Prediction
S. He, E. Jonsson, C. A. Mader, and J. R. R. A. Martins
AIAA Journal, 59(6):2214–2232, 2021
Multipoint Aerodynamic Shape Optimization for Subsonic and Supersonic Regimes
M. Mangano, and J. R. R. A. Martins
Journal of Aircraft, 58(3):650–662, 2021
Predicting the High Angle of Attack Characteristics of a Delta Wing at Low Speed
S. Seraj, and J. R. R. A. Martins
AIAA Aviation Forum, 2021
Performance Analysis of Optimized STARC-ABL Designs Across the Entire Mission Profile
A. Yildirim, J. S. Gray, C. A. Mader, and J. R. R. A. Martins
Proceedings of the AIAA SciTech Forum, 2021
A Surface Mesh Deformation Method Near Component Intersections for High-Fidelity Design Optimization
A. Yildirim, C. A. Mader, and J. R. R. A. Martins
Engineering with Computers, 2021
Coupled Aeropropulsive Design Optimization of a Podded Electric Propulsor
A. Yildirim, J. S. Gray, C. A. Mader, and J. R. R. A. Martins
AIAA Aviation Forum, 2021
Accelerating parallel CFD codes on modern vector processors using blockettes
A. Yildirim, C. A. Mader, and J. R. R. A. Martins
Proceedings of the Platform for Advanced Scientific Computing Conference, (11), 2021
Aerothermal Optimization of X-57 High-Lift Motor Nacelle
J. L. Anibal, C. A. Mader, and J. R. R. A. Martins
AIAA SciTech Forum, 2020
High-fidelity Aerostructural Optimization Studies of the Aerion AS2 Supersonic Business Jet
N. P. Bons, J. R. R. A. Martins, C. A. Mader, M. McMullen, and M. Suen
Proceedings of the AIAA Aviation Forum, 2020
Aerostructural Wing Design Exploration with Multidisciplinary Design Optimization
N. P. Bons, and J. R. R. A. Martins
Proceedings of the AIAA SciTech Forum, 2020
Aerostructural Design Exploration of a Wing in Transonic Flow
N. P. Bons, and J. R. R. A. Martins
Aerospace, 7(8):118, 2020
Scalable gradient-enhanced artificial neural networks for airfoil shape design in the subsonic and transonic regimes
M. A. Bouhlel, S. He, and J. R. R. A. Martins
Structural and Multidisciplinary Optimization, 611363–1376, 2020
Flexible Formulation of Spatial Integration Constraints in Aerodynamic Shape Optimization
B. J. Brelje, J. Anibal, A. Yildirim, C. A. Mader, and J. R. R. A. Martins
AIAA Journal, 58(6):2571–2580, 2020
Aerostructural Trade-offs for Tow-steered Composite Wings
T. R. Brooks, J. R. R. A. Martins, and G. J. Kennedy
Journal of Aircraft, 57(5):787–799, 2020
RANS-Based Aerodynamic Shape Optimization of a Wing Considering Propeller-Wing Interaction
S. S. Chauhan, and J. R. R. A. Martins
AIAA SciTech Forum, 2020
A B-Spline-based Generative Adversarial Network Model for Fast Interactive Airfoil Aerodynamic Optimization
X. Du, P. He, and J. R. R. A. Martins
AIAA SciTech Forum, 2020
Coupled Aeropropulsive Design Optimization of a Three-Dimensional BLI Propulsor Considering Inlet Distortion
J. S. Gray, C. A. Mader, G. K. W. Kenway, and J. R. R. A. Martins
Journal of Aircraft, 57(6):1014–1025, 2020
Adjoint-Based Aerodynamic Shape Optimization Including Transition to Turbulence Effects
G. L. O. Halila, J. R. R. A. Martins, and K. J. Fidkowski
Aerospace Science and Technology, (107):1–15, 2020
Large-Scale Path-Dependent Optimization of Supersonic Aircraft
J. Jasa, B. Brelje, J. Gray, C. A. Mader, and J. R. R. A. Martins
Aerospace, 7(152), 2020
Efficient Aerodynamic Shape Optimization with Deep-learning-based Filtering
J. Li, M. Zhang, J. R. R. A. Martins, and C. Shu
AIAA Journal, 58(10):4243–4259, 2020
Hydrostructural Optimization of Generic Composite Hydrofoils
Y. Liao, S. He, J. R. R. A. Martins, and Y. L. Young
AIAA SciTech Forum, 2020
Hydrodynamic Optimization of a T-foil
Y. Liao, A. Yildirim, Y. L. Young, and J. R. R. A. Martins
SNAME Maritime Convention, 2020
ADflow: An open-source computational fluid dynamics solver for aerodynamic and multidisciplinary optimization
C. A. Mader, G. K. W. Kenway, A. Yildirim, and J. R. R. A. Martins
Journal of Aerospace Information Systems, 17(9):508–527, 2020
Natural Laminar-Flow Airfoil Optimization Design Using a Discrete Adjoint Approach
Y. Shi, C. A. Mader, S. He, G. L. O. Halila, and J. R. R. A. Martins
AIAA Journal, 58(11):4702–4722, 2020
Flexible Formulation of Spatial Integration Constraints in Aerodynamic Shape Optimization
B. J. Brelje, J. L. Anibal, A. Yildirim, C. A. Mader, and J. R. R. A. Martins
57th AIAA Aerospace Sciences Meeting, AIAA SciTech Forum, 2019
Coupled component sizing and aerodynamic shape optimization via geometric constraints
B. J. Brelje, and J. R. R. A. Martins
AIAA AVIATION Forum, 2019
Aerodynamic Shape Optimization with Time Spectral Flutter Adjoint
S. He, E. Jonsson, C. A. Mader, and J. R. R. A. Martins
2019 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2019
Robust aerodynamic shape optimization—from a circle to an airfoil
X. He, J. Li, C. A. Mader, A. Yildirim, and J. R. R. A. Martins
Aerospace Science and Technology, 8748–61, 2019
A Coupled Newton–Krylov Time-Spectral Solver for Wing Flutter and LCO Prediction
S. He, E. Jonsson, C. A. Mader, and J. R. R. A. Martins
AIAA Aviation Forum, 2019
Effective Adjoint Approaches for Computational Fluid Dynamics
G. K. W. Kenway, C. A. Mader, P. He, and J. R. R. A. Martins
Progress in Aerospace Sciences, 110100542, 2019
Data-driven Constraint Approach to Ensure Low-speed Performance in Transonic Aerodynamic Shape Optimization
J. Li, S. He, and J. R. R. A. Martins
Aerospace Science and Technology, 92536–550, 2019
Viscous Fluid Structure Interaction Response of Composite Hydrofoils
Y. Liao, N. Garg, J. R. R. A. Martins, and Y. L. Young
Composite Structures, 212571–585, 2019
Sweep and anisotropy effects on the viscous hydroelastic response of composite hydrofoils
Y. Liao, J. R. R. A. Martins, and Y. L. Young
Composite Structures, 230111471, 2019
Multipoint high-fidelity CFD-based aerodynamic shape optimization of a 10 MW wind turbine
M. H. A. Madsen, F. Zahle, N. N. Sørensen, and J. R. R. A. Martins
Wind Energy Sciences, 4163–192, 2019
Multipoint Aerodynamic Shape Optimization for Subsonic and Supersonic Regimes
M. Mangano, and J. R. R. A. Martins
57th AIAA Aerospace Sciences Meeting, AIAA SciTech Forum, 2019, 2019
RANS-based Aerodynamic Shape Optimization of a Strut-braced Wing with Overset Meshes
N. R. Secco, and J. R. R. A. Martins
Journal of Aircraft, 56(1):217–227, 2019
Aeropropulsive Design Optimization of a Boundary Layer Ingestion System
A. Yildirim, J. S. Gray, C. A. Mader, and J. R. R. A. Martins
AIAA Aviation Forum, 2019
A Jacobian-free approximate Newton–Krylov startup strategy for RANS simulations
A. Yildirim, G. K. W. Kenway, C. A. Mader, and J. R. R. A. Martins
Journal of Computational Physics, 397108741, 2019
High-Fidelity Aerodynamic Shape Optimization of a Full Configuration Regional Jet
N. P. Bons, C. A. Mader, J. R. R. A. Martins, A. P. C. Cuco, and F. I. K. Odaguil
2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018
Aero-propulsive Design Optimization of a Turboelectric Boundary Layer Ingestion Propulsion System
J. S. Gray, G. K. W. Kenway, C. A. Mader, and J. R. R. A. Martins
2018 AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2018
A Coupled Newton–Krylov Time Spectral Solver for Flutter Prediction
S. He, E. Jonsson, C. A. Mader, and J. R. R. A. Martins
2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018
Trajectory Optimization of a Supersonic Air Vehicle with Thermal Fuel Management System
J. P. Jasa, C. A. Mader, and J. R. R. A. Martins
AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2018
RANS-based Aerodynamic Shape Optimization of a Strut-braced Wing with Overset Meshes
N. R. Secco, and J. R. R. A. Martins
2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018