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Sensitivity and Uncertainty Analysis : Sensitivity and Uncertainty Analysis, Volume II Applications to Large-scale Systems Vol 2 - Dan G. Cacuci

Sensitivity and Uncertainty Analysis

Sensitivity and Uncertainty Analysis, Volume II Applications to Large-scale Systems Vol 2

Hardcover Published: 16th May 2005
ISBN: 9781584881162
Number Of Pages: 368

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As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools. Sensitivity and Uncertainty Analysis. Volume I: Theory focused on the mathematical underpinnings of two important methods for such analyses: the Adjoint Sensitivity Analysis Procedure and the Global Adjoint Sensitivity Analysis Procedure. This volume concentrates on the practical aspects of performing these analyses for large-scale systems. The applications addressed include two-phase flow problems, a radiative convective model for climate simulations, and large-scale models for numerical weather prediction.

A Comparative Review of Sensitivity and Uncertainty Analysis Methods for Large-Scale Systemsp. 1
Statistical Methodsp. 5
Introductionp. 5
Sampling-Based Methodsp. 6
Reliability Algorithms: FORM and SORMp. 16
Variance-Based Methodsp. 16
Design of Experiments and Screening Design Methodsp. 21
Deterministic Methodsp. 26
Deterministic Methods for Local Sensitivity Analysisp. 26
Deterministic Methods for Local Uncertainty Analysisp. 29
Deterministic Methods for Extending the Use of Local Sensitivities; Global Deterministic Sensitivity Analysisp. 31
Computational Considerationsp. 32
Applications of the Adjoint Sensitivity Analysis Procedure (ASAP) to Two-Phase Flow Systemsp. 37
Asap for Generic Two-Phase Flow Problemsp. 38
Basic One-Dimensional Two-Phase Flow Equationsp. 39
The Adjoint Sensitivity Analysis Procedure (ASAP)p. 40
Characteristic of the Adjoint Sensitivity Systemp. 46
Illustrative Example: The Homogeneous Equilibrium Model (HEM) for Two-Phase Flowp. 47
Asap for the Relap5/MOD3.2 Two-Fluid Model (REL/TF)p. 55
The RELAP5/MOD3.2 Two-Fluid Modelp. 57
ASAP of the Two-Fluid Model in RELAP5/MOD3.2p. 65
Consistency between the Differential/Integral And the Discretized Equations/Models for Sensitivity Analysisp. 80
Validation of the Adjoint Sensitivity Model (ASM-REL/TF)p. 82
Sensitivities of Thermodynamic Properties of Waterp. 91
Forward and Adjoint Sensitivity Analysis Procedures for Augmented Systemsp. 123
Theoretical Basis for the Asap for Augmented Systemsp. 124
Sensitivity Analysis of the Primary (Nonaugmented) Systemp. 124
Sensitivity Analysis of the Augmented Systemp. 131
Discussion: Constructing the Augmented Adjoint Sensitivity Model from the Original Adjoint Sensitivity Model and Viceversap. 143
Illustrative Example: Asap for the Coupled Two-Fluid with Heat Structures Model in Relap5/MOD3.2 (REL/TF+HS)p. 148
ASM-REL/TFH: The Augmented Two-Fluid/Heat Structure Adjoint Sensitivity Modelp. 148
Summary Description of the QUENCH-04 Experimentp. 158
Forward and Adjoint Sensitivity Analysis Procedures for Responses Defined at Critical Pointsp. 171
Fsap and Asap for Responses at Critical Points: General Theoryp. 172
The Forward Sensitivity Analysis Procedure (FSAP)p. 174
The Adjoint Sensitivity Analysis Procedure (ASAP)p. 177
Discussionp. 181
Illustrative Example: A Simple Particle Diffusion Problemp. 183
Illustrative Example: Asap for the Maximum Clad Temperature Predicted By a Reactor Safety Codep. 194
Using the Asap to Gain New Insights Into Paradigm Atmospheric Sciences Problemsp. 231
A Paradigm Radiative-Convective Model (RCM) of the Atmospherep. 232
Applying the Asap for Efficient and Exhaustive Sensitivity Analysis of the Rcmp. 237
Physical Interpretation of Solutions, Eigenvalues, and Eigenvectors of the Adjoint Sensitivity System for Atmospheric Modelsp. 248
Physical Interpretation of the Adjoint Functionsp. 250
Interpretation of Eigenvalues and Eigenvectors Associated with the Adjoint Functionsp. 253
Numerical Efficiencyp. 258
Efficient Estimation of Feedback Effects for Climate Modelsp. 259
An Isentropic Two-Layer Model for Numerical Weather Predictionp. 262
Applying the Asap for Efficient Sensitivity Analysis of Blocking Indexes in the Two-Layer Isentropic Modelp. 270
Blocking Index in Physical Spacep. 275
Blocking Index in Spectral Spacep. 278
Illustrative Sensitivity Analysis Resultsp. 278
Computational Costsp. 281
Adjoint Sensitivity Analysis Procedure for Operational Meteorological Applicationsp. 283
Adjoint Sensitivity Analysis Procedure (ASAP) for the Earth's Radiation Budget in the Ncep Medium-Range Forecasting Modelp. 283
Derivation and Verification of the Adjoint Sensitivity Model Corresponding to the NCEP Nonlinear Radiation Modelp. 284
Illustrative Sensitivity Analysis Resultsp. 288
Fsu-Gsm Forecast Error Sensitivity to Initial Conditions: Application to Indian Summer Monsoonp. 306
Modeling the Nominal Conditions on June 8, 1988 with the FSU GSMp. 307
Illustrative Sensitivity Analysis Resultsp. 310
Sensitivity to Large-Scale Environmental Fields of the Relaxed Arakawa-Schubert Parametrization in the Nasa Geos-1 GCMp. 319
Sensitivity Analysis of the GEOS-1 GCM Using the ASAPp. 320
The RAS Parameterization Scheme in GEOS-1 GCMp. 323
Sensitivity Analysis Resultsp. 327
Referencesp. 343
Indexp. 351
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9781584881162
ISBN-10: 158488116X
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 368
Published: 16th May 2005
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 23.5 x 15.9  x 2.59
Weight (kg): 0.66
Edition Number: 1