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Multi-Fidelity Uncertainty Analysis in CFD Using Hierarchical Kriging
16 references·4 citing·35 second hop
Multi-Fidelity Uncertainty Analysis in CFD Using Hierarchical Kriging (2017)Multi-Fidelity Uncertainty Analysis in CF…Comparison of Surrogate-Based Uncertainty Quantification Methods for Computationally Expensive Simulators (2017)Comparison of Surrogate-Based…Multi-fidelity non-intrusive polynomial chaos based on regression (2016)Multi-fidelity non-intrusive …A Bayesian Approach for Global Sensitivity Analysis of (Multifidelity) Computer Codes (2014)A Bayesian Approach for Globa…Uncertainty‐based robust aerodynamic optimization of rotor blades (2012)Uncertainty‐based robust aero…Gradient-Enhanced Universal Kriging for Uncertainty Propagation (2012)Gradient-Enhanced Universal K…Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)Point-Collocation Nonintrusiv…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Adaptive Polynomial Chaos for Gas Turbine Compression Systems Performance Analysis (2010)Adaptive Polynomial Chaos for…Robust Aerodynamic Design Optimization Using Polynomial Chaos (2009)Robust Aerodynamic Design Opt…A gPC-based approach to uncertain transonic aerodynamics (2009)A gPC-based approach to uncer…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Stochastic finite element: a non intrusive approach by regression (2006)Stochastic finite element: a …Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods (2004)Uncertainty Propagation for a…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Cross validation of kriging in a unique neighborhood (1983)Cross validation of kriging i…Performance assessment of Kriging with partial least squares for high-dimensional uncertainty and sensitivity analysis (2023)Performance assessment of Kri…A maximum cost-performance sampling strategy for multi-fidelity PC-Kriging (2021)A maximum cost-performance sa…Multi-fidelity uncertainty quantification of film cooling flow under random operational and geometrical conditions (2020)Multi-fidelity uncertainty qu…Efficient uncertainty quantification of turbine blade leading edge film cooling using bi-fidelity combination of compressed sensing and Kriging (2020)Efficient uncertainty quantif…Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach (2004)Bayesian analysis of computer code outputs: A tutorial (2006)Global sensitivity analysis via multi-fidelity polynomial chaos expansion (2017)Multifidelity Monte Carlo Estimation of Variance and Sensitivity Indices (2018)An expected integrated error reduction function for accelerating Bayesian active learning of failure probability (2022)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Uncertainty Quantification of Hypersonic Reentry Flows with Sparse Sampling and Stochastic Expansions (2014)Uncertainty Quantification of Turbulence Model Closure Coefficients for Transonic Wall-Bounded Flows (2016)A Critical Review of Surrogate Assisted Robust Design Optimization (2017)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)Orthonormal residuals in geostatistics: Model criticism and parameter estimation (1991)Kriging and cross‐validation for massive spatial data (2009)Adaptive design of experiments for global Kriging metamodeling through cross-validation information (2020)Aircraft Robust Trajectory Optimization Using Nonintrusive Polynomial Chaos (2014)Review of Robust Aerodynamic Design Optimization for Air Vehicles (2018)Sparse grid-based polynomial chaos expansion for aerodynamics of an airfoil with uncertainties (2018)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)Monte Carlo Information-Reuse Approach to Aircraft Conceptual Design Optimization Under Uncertainty (2015)An adaptive polynomial chaos expansion for high-dimensional reliability analysis (2020)
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References

  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2006Stochastic finite element: a non intrusive approach by regression427 cited
  • 2010Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics244 cited
  • 1983Cross validation of kriging in a unique neighborhood204 cited
  • 2014A Bayesian Approach for Global Sensitivity Analysis of (Multifidelity) Computer Codes105 cited
  • 2009Robust Aerodynamic Design Optimization Using Polynomial Chaos88 cited
  • 2016Multi-fidelity non-intrusive polynomial chaos based on regression83 cited
  • 2017Comparison of Surrogate-Based Uncertainty Quantification Methods for Computationally Expensive Simulators75 cited
  • 2012Gradient-Enhanced Universal Kriging for Uncertainty Propagation66 cited
  • 2012Uncertainty‐based robust aerodynamic optimization of rotor blades56 cited
  • 2009A gPC-based approach to uncertain transonic aerodynamics54 cited
  • 2004

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Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods
44 cited
  • 2010Adaptive Polynomial Chaos for Gas Turbine Compression Systems Performance Analysis42 cited
  • Cited by

    • 2020Efficient uncertainty quantification of turbine blade leading edge film cooling using bi-fidelity combination of compressed sensing and Kriging22 cited
    • 2020Multi-fidelity uncertainty quantification of film cooling flow under random operational and geometrical conditions14 cited
    • 2023Performance assessment of Kriging with partial least squares for high-dimensional uncertainty and sensitivity analysis10 cited
    • 2021A maximum cost-performance sampling strategy for multi-fidelity PC-Kriging8 cited