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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 44, 2003 - Issue 6
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Original Articles

APPLICATIONS OF CONTINUOUS SENSITIVITY EQUATIONS TO FLOWS WITH TEMPERATURE-DEPENDENT PROPERTIES

É. Turgeon Départment de Génie Mécanique, école Polytechnique de Montréal, Montréal, Québec, Canada
,
D. Pelletier Départment de Génie Mécanique, école Polytechnique de Montréal, Montréal, Québec, Canada
&
J. Borggaard Interdisciplinary Center for Applied Mathematics, Department of Mathematics, Virginia Tech, Blacksburg, Virginia, USA
Pages 611-624 | Published online: 02 Feb 2011

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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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RichardD. Kirkman & Meredith Metzger. (2009) Direct numerical simulation of sensitivity coefficients in low Reynolds number turbulent channel flow. Journal of Turbulence 10.
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F. Ilinca & D. Pelletier. (2007) A continuous shape sensitivity equation method for unsteady laminar flows. International Journal of Computational Fluid Dynamics 21:7-8, pages 255-266.
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E. Colin, S. Étienne, D. Pelletier & J. Borggaard. (2006) A General Sensitivity Equation Formulation for Turbulent Heat Transfer. Numerical Heat Transfer, Part B: Fundamentals 49:2, pages 125-153.
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Hongzhi Cheng, Ziliang Li, Penghao Duan, Xingen Lu, Shengfeng Zhao & Yanfeng Zhang. (2023) Robust optimization and uncertainty quantification of a micro axial compressor for unmanned aerial vehicles. Applied Energy 352, pages 121972.
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Hongzhi Cheng, Chuangxin Zhou, Xingen Lu, Shengfeng Zhao, Ge Han & Chengwu Yang. (2023) Robust aerodynamic optimization and design exploration of a wide-chord transonic fan under geometric and operational uncertainties. Energy, pages 128011.
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Dirk Wunsch & Charles Hirsch. (2021) Characterization of manufacturing uncertainties with applications to uncertainty quantification and robust design optimization. Journal of the Global Power and Propulsion Society:May, pages 1-16.
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Alexandre Gouttière, Dirk Wunsch, Virginie Barbieux & Charles Hirsch. 2021. Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications. Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications 97 107 .
Xianzhu Li & Pengzhan Huang. (2019) A sensitivity study of relaxation parameter in Uzawa algorithm for the steady natural convection model. International Journal of Numerical Methods for Heat & Fluid Flow 30:2, pages 818-833.
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Domenico QuagliarellaAndrea SeraniMatteo DiezMichele Pisaroni, Penelope Leyland, Luca Montagliani, Umberto Iemma, Nicholas J. Gaul, Jaekwan Shin, Dirk Wunsch, Charles Hirsch, KK Choi & Frederick Stern. (2019) Benchmarking Uncertainty Quantification Methods Using the NACA 2412 Airfoil with Geometrical and Operational Uncertainties. Benchmarking Uncertainty Quantification Methods Using the NACA 2412 Airfoil with Geometrical and Operational Uncertainties.
Dirk Wunsch, Rémy Nigro, Grégory Coussement & Charles Hirsch. 2019. Uncertainty Management for Robust Industrial Design in Aeronautics. Uncertainty Management for Robust Industrial Design in Aeronautics 143 167 .
Remy Nigro, Dirk Wunsch, Gregory Coussement & Charles Hirsch. (2017) Uncertainty Quantification in Internal Flows. Uncertainty Quantification in Internal Flows.
M. Zayernouri & M. Metzger. (2011) Coherent features in the sensitivity field of a planar mixing layer. Physics of Fluids 23:2.
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Jean‐Serge Giguère, Florin Ilinca & Dominique Pelletier. (2010) Finite element and sensitivity analysis of thermally induced flow instabilities. International Journal for Numerical Methods in Fluids 63:10, pages 1167-1192.
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Alex Loeven & Hester Bijl. (2009) An Efficient Framework for Uncertainty Quantification in CFD Using Probabilistic Collocation. An Efficient Framework for Uncertainty Quantification in CFD Using Probabilistic Collocation.
F. Ilinca, D. Pelletier & A. Hay. (2008) First‐ and second‐order sensitivity equation methods for value and shape parameters. International Journal for Numerical Methods in Fluids 57:9, pages 1349-1370.
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R. D. Kirkman & M. Metzger. (2008) Sensitivity analysis of low Reynolds number channel flow using the finite volume method. International Journal for Numerical Methods in Fluids 57:8, pages 1023-1045.
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Richard Kirkman & Meredith Metzger. (2008) Direct Numerical Simulation of Sensitivity Coefficients in Low-Reynolds Number Turbulent Channel Flow. Direct Numerical Simulation of Sensitivity Coefficients in Low-Reynolds Number Turbulent Channel Flow.
F. Ilinca, D. Pelletier & J. Borggaard. (2007) A continuous second‐order sensitivity equation method for time‐dependent incompressible laminar flows. International Journal for Numerical Methods in Fluids 55:6, pages 565-587.
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Florin Ilinca, Alexander Hay & Dominique Pelletier. (2006) Shape Sensitivity Analysis of Unsteady Laminar Flow Past a Cylinder in Ground Proximity. Shape Sensitivity Analysis of Unsteady Laminar Flow Past a Cylinder in Ground Proximity.
G.J.A. Loeven, J.A.S. Witteveen & H. Bijl. (2006) (Student Paper) Efficient Uncertainty Quantification in Computational Fluid-Structure Interactions. (Student Paper) Efficient Uncertainty Quantification in Computational Fluid-Structure Interactions.

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