The Second-Order Adjoint Sensitivity Analysis Methodology
1st Edition
Published on 1. November 2017
Book
Paperback/Softback
400 pages
978-1-138-10529-4 (ISBN)
Description
The author has achieved the breakthrough of generalizing the First-Order Theory presented in his previous books, to the efficient computations of arbitrarily high-order sensitivities for nonlinear systems (HONASAP). This breakthrough has many applications, especially when there is a need to quantify nonlinear behavior or to quantify uncertainties in design parameter/system responses in large-scale systems. This book presents the theory of the HONASAP with applications, from simple, analytically solvable, paradigm problems to large-scale applications in thermal hydraulics, particle transport, etc.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Academic and Professional Practice & Development
Illustrations
50 s/w Abbildungen
50 Illustrations, black and white
Dimensions
Height: 229 mm
Width: 152 mm
ISBN-13
978-1-138-10529-4 (9781138105294)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
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Dan Gabriel Cacuci
The Second-Order Adjoint Sensitivity Analysis Methodology
Book
02/2018
1st Edition
Chapman & Hall/CRC
€193.13
Shipment within 15-20 days
Dan Gabriel Cacuci
The Second-Order Adjoint Sensitivity Analysis Methodology
E-Book
02/2018
1st Edition
Chapman & Hall/CRC
€184.99
Available for download
Dan Gabriel Cacuci
The Second-Order Adjoint Sensitivity Analysis Methodology
E-Book
02/2018
1st Edition
Chapman & Hall/CRC
€184.99
Available for download
Person
Content
MOTIVATION FOR COMPUTING FIRST- AND SECOND-ORDER SENSITIVITIES OF SYSTEM RESPONSES TO THE SYSTEM'S PARAMETERS
The Fundamental Role of Response Sensitivities for Uncertainty Quantification
The Fundamental Role of Response Sensitivities for Predictive Modeling
Advantages and Disadvantages of Statistical and Deterministic Methods for Computing Response Sensitivities
ILLUSTRATIVE APPLICATION OF THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) TO A LINEAR EVOLUTION PROBLEM
Exact Computation of the 1st-Order Response Sensitivities
Exact Computation of the 2nd-Order Response Sensitivities
Computing the 2nd-Order Response Sensitivities Corresponding to the 1st-Order Sensitivities
Discussion of the Essential Features of the 2nd-ASAM
Illustrative Use of Response Sensitivities for Predictive Modeling
THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) FOR LINEAR SYSTEMS
Mathematical Modeling of a General Linear System
The 1st-Level Adjoint Sensitivity System (1st-LASS) for Computing Exactly and Efficiently 1st-Order Sensitivities of Scalar-Valued Responses for Linear Systems
The 2nd-Level Adjoint Sensitivity System (2nd-LASS) for Computing Exactly and Efficiently 1st-Order Sensitivities of Scalar-Valued Responses for Linear Systems
APPLICATION OF THE 2nd-ASAM TO A LINEAR HEAT CONDUCTION AND CONVECTION BENCHMARK PROBLEM
Heat Transport Benchmark Problem: Mathematical Modeling
Computation of First-Order Sensitivities Using the 2nd-ASAM
Computation of first-order sensitivities of the heated rod temperature
Computation of first-order sensitivities of the coolant temperature
Verification of the "ANSYS/FLUENT Adjoint Solver"
Applying the 2nd-ASAM to Compute the Second-Order Sensitivities and Uncertainties for the Heat Transport Benchmark Problem
APPLICATION OF THE 2nd-ASAM TO A LINEAR PARTICLE DIFFUSION PROBLEM
Paradigm Diffusion Problem Description
Applying the 2nd-ASAM to Compute the First-Order Response Sensitivities to Model Parameters
Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Model Parameters
Role of Second-Order Response Sensitivities for Quantifying Non-Gaussian Features of the Response Uncertainty Distribution
Illustrative Application of First-Order Response Sensitivities for Predictive Modeling
APPLICATION OF THE 2nd-ASAM FOR COMPUTING SENSITIVITIES OF DETECTOR RESPONSES TO UNCOLLIDED RADIATION TRANSPORT
The Ray-Tracing Form of the Forward and Adjoint Boltzmann Transport Equation
Application of the 2nd-ASAM to Compute the First-Order Response Sensitivities to Variations in Model Parameters
Application of the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Variations in Model Parameters
THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) FOR NONLINEAR SYSTEMS
Mathematical Modeling of a General Nonlinear System
The 1st-Level Adjoint Sensitivity System (1st-LASS) for Computing Exactly and Efficiently the 1st-Order Sensitivities of Scalar-Valued Responses
The 2nd-Level Adjoint Sensitivity System (2nd-LASS) for Computing Exactly and Efficiently the 2nd-Order Sensitivities of Scalar-Valued Responses for Nonlinear Systems
APPLICATION OF THE 2nd-ASAM TO A NONLINEAR HEAT CONDUCTION PROBLEM
Mathematical Modeling of Heated Cylindrical Test Section
Application of the 2nd-ASAM for Computing the 1st-Order Sensitivities
Application of the 2nd-ASAM for Computing the 2nd-Order Sensitivities
The Fundamental Role of Response Sensitivities for Uncertainty Quantification
The Fundamental Role of Response Sensitivities for Predictive Modeling
Advantages and Disadvantages of Statistical and Deterministic Methods for Computing Response Sensitivities
ILLUSTRATIVE APPLICATION OF THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) TO A LINEAR EVOLUTION PROBLEM
Exact Computation of the 1st-Order Response Sensitivities
Exact Computation of the 2nd-Order Response Sensitivities
Computing the 2nd-Order Response Sensitivities Corresponding to the 1st-Order Sensitivities
Discussion of the Essential Features of the 2nd-ASAM
Illustrative Use of Response Sensitivities for Predictive Modeling
THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) FOR LINEAR SYSTEMS
Mathematical Modeling of a General Linear System
The 1st-Level Adjoint Sensitivity System (1st-LASS) for Computing Exactly and Efficiently 1st-Order Sensitivities of Scalar-Valued Responses for Linear Systems
The 2nd-Level Adjoint Sensitivity System (2nd-LASS) for Computing Exactly and Efficiently 1st-Order Sensitivities of Scalar-Valued Responses for Linear Systems
APPLICATION OF THE 2nd-ASAM TO A LINEAR HEAT CONDUCTION AND CONVECTION BENCHMARK PROBLEM
Heat Transport Benchmark Problem: Mathematical Modeling
Computation of First-Order Sensitivities Using the 2nd-ASAM
Computation of first-order sensitivities of the heated rod temperature
Computation of first-order sensitivities of the coolant temperature
Verification of the "ANSYS/FLUENT Adjoint Solver"
Applying the 2nd-ASAM to Compute the Second-Order Sensitivities and Uncertainties for the Heat Transport Benchmark Problem
APPLICATION OF THE 2nd-ASAM TO A LINEAR PARTICLE DIFFUSION PROBLEM
Paradigm Diffusion Problem Description
Applying the 2nd-ASAM to Compute the First-Order Response Sensitivities to Model Parameters
Applying the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Model Parameters
Role of Second-Order Response Sensitivities for Quantifying Non-Gaussian Features of the Response Uncertainty Distribution
Illustrative Application of First-Order Response Sensitivities for Predictive Modeling
APPLICATION OF THE 2nd-ASAM FOR COMPUTING SENSITIVITIES OF DETECTOR RESPONSES TO UNCOLLIDED RADIATION TRANSPORT
The Ray-Tracing Form of the Forward and Adjoint Boltzmann Transport Equation
Application of the 2nd-ASAM to Compute the First-Order Response Sensitivities to Variations in Model Parameters
Application of the 2nd-ASAM to Compute the Second-Order Response Sensitivities to Variations in Model Parameters
THE SECOND-ORDER ADJOINT SENSITIVITY ANALYSIS METHODOLOGY (2nd-ASAM) FOR NONLINEAR SYSTEMS
Mathematical Modeling of a General Nonlinear System
The 1st-Level Adjoint Sensitivity System (1st-LASS) for Computing Exactly and Efficiently the 1st-Order Sensitivities of Scalar-Valued Responses
The 2nd-Level Adjoint Sensitivity System (2nd-LASS) for Computing Exactly and Efficiently the 2nd-Order Sensitivities of Scalar-Valued Responses for Nonlinear Systems
APPLICATION OF THE 2nd-ASAM TO A NONLINEAR HEAT CONDUCTION PROBLEM
Mathematical Modeling of Heated Cylindrical Test Section
Application of the 2nd-ASAM for Computing the 1st-Order Sensitivities
Application of the 2nd-ASAM for Computing the 2nd-Order Sensitivities