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Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods
12 references·13 citing·34 second hop
Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods (2004)Uncertainty Propagation for a Turbulent, …Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Uncertainty propagation in CF…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …A Stochastic Collocation Algorithm for Uncertainty Analysis (2003)A Stochastic Collocation Algo…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles (2002)Needs and Opportunities for U…A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos (2001)Stochastic Modeling of Flow-S…Mathematical representation of uncertainty (2001)Mathematical representation o…A Stochastic Projection Method for Fluid Flow (2001)A Stochastic Projection Metho…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Some Aspects of Uncertainty in Computational Fluid Dynamics Results (1991)Some Aspects of Uncertainty i…Recent progress of uncertainty quantification in small-scale materials science (2020)Recent progress of uncertaint…Evaluation of ensemble methods for quantifying uncertainties in steady-state CFD applications with small ensemble sizes (2020)Evaluation of ensemble method…Comparison of the Point-Collocation Non-Intrusive Polynomial (NIPC) and Non-Intrusive Spectral Projection (NISP) Methods for the γ − R θ Transition Model (2019)Comparison of the Point-Collo…Multi-Fidelity Uncertainty Analysis in CFD Using Hierarchical Kriging (2017)Multi-Fidelity Uncertainty An…Implementation of Intrusive Polynomial Chaos in CFD Codes and Application to 3D Navier-Stokes (2013)Implementation of Intrusive P…A one-dimensional polynomial chaos method in CFD-Based uncertainty quantification for ship hydrodynamic performance (2013)A one-dimensional polynomial …A Generalized Polynomial Chaos-Based Method for Efficient Bayesian Calibration of Uncertain Computational Models (2013)A Generalized Polynomial Chao…Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations (2012)Error analysis of generalized…Adaptive Polynomial Chaos for Gas Turbine Compression Systems Performance Analysis (2010)Adaptive Polynomial Chaos for…Non-Intrusive Polynomial Chaos for the Stochastic CFD Study of a Supersonic Pressure Probe (2009)Non-Intrusive Polynomial Chao…Bayesian hierarchical uncertainty quantification by structural equation modeling (2009)Bayesian hierarchical uncerta…Quantifying parametric uncertainty in the Rothermel model (2008)Quantifying parametric uncert…Exploitation of Sensitivity Derivatives for Improving Sampling Methods (2004)Exploitation of Sensitivity D…A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Time-dependent generalized polynomial chaos (2010)Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression (2017)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Empirical Model Building and Response Surfaces (1988)Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Sensitivity Analysis with Mixture of Epistemic and Aleatory Uncertainties (2007)Robust mechanism synthesis with random and interval variables (2008)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)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)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Combustion kinetic model uncertainty quantification, propagation and minimization (2014)A new stochastic approach to transient heat conduction modeling with uncertainty (2003)Stochastic Approaches to Uncertainty Quantification in CFD Simulations (2005)Modeling Multibody Systems with Uncertainties. 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2001Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos273 cited
  • 2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
  • 2002Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles173 cited
  • 2003A Stochastic Collocation Algorithm for Uncertainty Analysis148 cited
  • 1991Some Aspects of Uncertainty in Computational Fluid Dynamics Results70 cited

Cited by

  • 2010Adaptive Polynomial Chaos for Gas Turbine Compression Systems Performance Analysis42 cited
  • 2020Recent progress of uncertainty quantification in small-scale materials science38 cited
  • 2020

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Evaluation of ensemble methods for quantifying uncertainties in steady-state CFD applications with small ensemble sizes
35 cited
  • 2008Quantifying parametric uncertainty in the Rothermel model30 cited
  • 2009Bayesian hierarchical uncertainty quantification by structural equation modeling28 cited
  • 2004Exploitation of Sensitivity Derivatives for Improving Sampling Methods26 cited
  • 2017Multi-Fidelity Uncertainty Analysis in CFD Using Hierarchical Kriging25 cited
  • 2012Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations21 cited
  • 2009Non-Intrusive Polynomial Chaos for the Stochastic CFD Study of a Supersonic Pressure Probe16 cited
  • 2013A Generalized Polynomial Chaos-Based Method for Efficient Bayesian Calibration of Uncertain Computational Models16 cited
  • 2013A one-dimensional polynomial chaos method in CFD-Based uncertainty quantification for ship hydrodynamic performance15 cited
  • 2013Implementation of Intrusive Polynomial Chaos in CFD Codes and Application to 3D Navier-Stokes13 cited
  • 2019Comparison of the Point-Collocation Non-Intrusive Polynomial (NIPC) and Non-Intrusive Spectral Projection (NISP) Methods for the γ − R θ Transition Model9 cited