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Uncertainty Quantification of Hypersonic Reentry Flows with Sparse Sampling and Stochastic Expansions
9 references·12 citing·37 second hopsampled
Uncertainty Quantification of Hypersonic Reentry Flows with Sparse Sampling and Stochastic Expansions (2014)Uncertainty Quantification of Hypersonic …A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…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…Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Recent Advances in Non-Intrus…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Efficient Sampling for Non-In…Uncertainty analysis for fluid mechanics with applications (2002)Uncertainty analysis for flui…Mathematical representation of uncertainty (2001)Mathematical representation o…NIPC-based uncertainty analysis of infrared radiation from rocket exhaust plumes caused by nozzle exit conditions (2020)NIPC-based uncertainty analys…Uncertainty quantification of planetary entry technologies (2019)Uncertainty quantification of…Forward and backward uncertainty quantification with active subspaces: Application to hypersonic flows around a cylinder (2019)Forward and backward uncertai…Efficient global sensitivity analysis with correlated variables (2018)Efficient global sensitivity …Uncertainty Quantification and Sensitivity Analysis of SA Turbulence Model Coefficients in Two and Three Dimensions (2017)Uncertainty Quantification an…Uncertainty analysis of laminar and turbulent aeroheating predictions for Mars entry (2017)Uncertainty analysis of lamin…Multifidelity, Multidisciplinary Uncertainty Quantification with Non-Intrusive Polynomial Chaos (2017)Multifidelity, Multidisciplin…Uncertainty and Sensitivity Analysis of Afterbody Radiative Heating Predictions for Earth Entry (2016)Uncertainty and Sensitivity A…Uncertainty and Sensitivity Analysis of Afterbody Radiative Heating Predictions for Earth Entry (2016)Uncertainty and Sensitivity A…Uncertainty Analysis of Fluid-Structure Interaction of a Deformable Hypersonic Inflatable Aerodynamic Decelerator (2016)Uncertainty Analysis of Fluid…Uncertainty and Sensitivity Analysis for Reentry Flows with Inherent and Model-Form Uncertainties (2012)Uncertainty and Sensitivity A…Inherent and Model-Form Uncertainty Analysis for CFD Simulation of Synthetic Jet Actuators (2012)Inherent and Model-Form Uncer…Polynomial Chaos in Stochastic Finite Elements (1990)Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements with Multiple Random Non-Gaussian Properties (1999)Uncertainty analysis for the steady-state flows in a dual throat nozzle (2004)Robust Aerodynamic Design Optimization Using Polynomial Chaos (2009)Multi-fidelity robust aerodynamic design optimization under mixed uncertainty (2015)Structural reliability under combined random load sequences (1978)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)First order reliability method for time-variant problems using series expansions (2014)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces (2013)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)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)Fuzzy sets (1965)Probability Concepts in Engineering Planning and Design (1975)Probability, reliability and statistical methods in engineering design (1999)Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Stochastic finite element methods for partial differential equations with random input data (2014)A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Calibration Probe Uncertainty and Validation for the Hypersonic Material Environmental Test System (2020)
this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2007Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables347 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2010Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics244 cited
  • 2002Uncertainty analysis for fluid mechanics with applications143 cited

Cited by

  • 2016Uncertainty and Sensitivity Analysis of Afterbody Radiative Heating Predictions for Earth Entry55 cited
  • 2012Uncertainty and Sensitivity Analysis for Reentry Flows with Inherent and Model-Form Uncertainties52 cited
  • 2017Uncertainty Quantification and Sensitivity Analysis of SA Turbulence Model Coefficients in Two and Three Dimensions42 cited
  • 2017Uncertainty analysis of laminar and turbulent aeroheating predictions for Mars entry42 cited
  • 2012

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Inherent and Model-Form Uncertainty Analysis for CFD Simulation of Synthetic Jet Actuators
30 cited
  • 2019Forward and backward uncertainty quantification with active subspaces: Application to hypersonic flows around a cylinder30 cited
  • 2019Uncertainty quantification of planetary entry technologies24 cited
  • 2016Uncertainty Analysis of Fluid-Structure Interaction of a Deformable Hypersonic Inflatable Aerodynamic Decelerator22 cited
  • 2018Efficient global sensitivity analysis with correlated variables16 cited
  • 2016Uncertainty and Sensitivity Analysis of Afterbody Radiative Heating Predictions for Earth Entry15 cited
  • 2017Multifidelity, Multidisciplinary Uncertainty Quantification with Non-Intrusive Polynomial Chaos15 cited
  • 2020NIPC-based uncertainty analysis of infrared radiation from rocket exhaust plumes caused by nozzle exit conditions13 cited