ebook ebooks e-book e-books downloaden bei MyEbooks.ch downloaden

Computational Methods in Transport: Verification and Validation

:	Timothy J. Barth, Michael Griebel, David E. Keyes, Risto M. Nieminen, Dirk Roose, Tamar Schlick, Fra
:	Frank Graziani
:	Computational Methods in Transport: Verification and Validation
:	Springer-Verlag
:	9783540773627
:	1
:	CHF 85.20
:

:	Allgemeines, Lexika
:	English

:	332
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

The focus of this book deals with a cross cutting issue affecting all transport disciplines, whether it be photon, neutron, charged particle or neutrino transport. That is, verification and validation. In this book, we learn what the astrophysicist, atmospheric scientist, mathematician or nuclear engineer do to assess the accuracy of their code. What convergence studies, what error analysis, what problems do each field use to ascertain the accuracy of their transport simulations.

	Preface	5
	List of Contributors	7
	Contents	9
	Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies	11
	1 Introduction	11
	2 Case 1: The Marshak Wave	12
	3 Case 2: Star-in-Space Problem	15
	4 Case 3: The Radiating Shock Problem	18
	5 Case 4: The Crooked Pipe	22
	6 Case 5: Angle, Angles, Angles	23
	7 Conclusion	25
	Acknowledgments	26
	References	26
	A General Strategy for Physics-Based Model Validation Illustrated with Earthquake Phenomenology, Atmospheric Radiative Transfer, and Computational Fluid Dynamics	29
	1 Introduction: Our Position with Respect to Previous Work on Validation and Related Concepts	29
	2 Validation as a Constructive Iterative Process	42
	3 Desirable Properties of the Multiplier of the Validation Step	48
	4 Practical Guidelines for Determining p/q and cnovel	51
	5 Illustration with the Development of Quantum Mechanics	53
	6 Three Examples Drawn from the Authors Research Interests	55
	7 Summary	63
	Acknowledgments	64
	Appendix: A More Formal Look at the Role of Validation in the Modeling Enterprise	64
	References	76
	Spectral Solvers to Non-Conservative Transport for Non- Linear Interactive Systems of Boltzmann Type	85
	1 Introduction	85
	2 The Non-Linear Boltzmann Equation for Binary Particle Interactions	87
	3 Numerical Method and Discretization	97
	4 Numerical Results	101
	5 Conclusions and Future Work	111
	Acknowledgments	111
	References	112
	The Art of Analytical Benchmarking	115
	1 Introduction	115
	2 The Theoretical Setting	117
	3 The Numerical Setting	120
	4 Mining the Discrete Ordinates Solution	126
	5 Conclusions	139
	References	144
	Implicit Monte Carlo Radiation Transport Simulations of Four Test Problems	145
	1 The Units Used for the Simulations Described in this Work	145
	2 A Gray Infinite Medium Problem with a Matter Energy Source Allowing an Analytic Answer	146
	3 A Cube with a Face Source Allowing an Approximate Analytic Answer	147
	4 Graziani s Spherical Multigroup Prompt Spectrum Test Problem	149
	5 A Slab Version of Graziani s Prompt Spectrum Test Problem	156
	Acknowledgment	157
	References	160
	The Prompt Spectrum of a Radiating Sphere: Benchmark Solutions for Diffusion and Transport	161
	1 Introduction	161
	2 The Prompt Spectrum: Problem Definition	163
	3 The Prompt Spectrum: Mathematical Derivation	164
	Acknowledgments	176
	References	176
	Some Verification Problems with Possible Transport Applications	179
	Introduction	179
	1 Open Radiation Boundary Test	179
	2 Spherical Heat Flow Test	181
	3 Coupled Multi-Temperature Diffusion Test	183
	4 Conclusion	184
	Acknowledgment	185
	References	185
	Canopy Reflectance Model Benchmarking: RAMI and the ROMC	187
	1 The Organisation of RAMI	188
	2 The RAMI Protocol	195
	3 The RAMI On-Line Model Checker	206
	4 Conclusion	213
	Acknowledgments	213
	References	214
	Uncertainty and Sensitivity Analysis for Models of Complex Systems	217
	1 Introduction	217
	2 Characterization of Uncertainty	218
	3 Generation of Sample	219
	4 Propagation of Sample Through the Analysis	222
	5 Presentation of Uncertainty Analysis Results	223
	6 Determination of Sensitivity Analysis Results	224
	7 Summary	230
	Acknowledgments	231
	References	231
	A Brief Overview of the State-of-the-Practice and Current Challenges of Solution Verification	239
	1 Introduction	239
	2 The Asymptotic Regime of Convergence	241
	3 State-of-the-Practice to Verify the Convergence of Solutions	244
	4 The Grid Convergence Index	249
	5 Application of Solution Veri.cation to a Finite Element Calculation	251
	6 Discussion of the Challenges of Code and Solution Verification	254
	7 Conclusion	258
	Acknowledgments	259
	References	259
	Expert Panel Opinion and Global Sensitivity Analysis for Composite Indicators	261
	1 Introduction	261
	2 Methodological Issues and Uncertainties in Building a Composite Indicator	264
	3 Case Study: Technology Achievement Index and Expert Opinion	271
	4 Results	275
	5 Conclusions and Future Work	281
	References	283
	A Practical Global Sensitivity Analysis Methodology for Multi- Physics Applications	287
	1 Introduction	287
	2 A Global Sensitivity Analysis Methodology	288
	3 Parameter Screening	291
	4 Response Surface Analysis	298
	5 Variance Decomposition	299
	6 Validating our Sensitivity Analysis Methodology	304
	7 PSUADE	306
	8 Summary	307
	Acknowledgment	308
	References	308
	Color Plates	311
	Editorial Policy	337
	General Remarks	338
	Lecture Notes in Computational Science and Engineering	339
	Monographs in Computational Science and Engineering	341
	Texts in Computational Science and Engineering	342