Quantification Of Uncertainty Improving Efficiency And Technology

Author : Marta D'Elia,Max Gunzburger,Gianluigi Rozza
Publisher : Springer Nature
Page : 290 pages
File Size : 49,8 Mb
Release : 2020-07-30
Category : Mathematics
ISBN : 9783030487218

Get Book

Quantification of Uncertainty: Improving Efficiency and Technology by Marta D'Elia,Max Gunzburger,Gianluigi Rozza Pdf

This book explores four guiding themes – reduced order modelling, high dimensional problems, efficient algorithms, and applications – by reviewing recent algorithmic and mathematical advances and the development of new research directions for uncertainty quantification in the context of partial differential equations with random inputs. Highlighting the most promising approaches for (near-) future improvements in the way uncertainty quantification problems in the partial differential equation setting are solved, and gathering contributions by leading international experts, the book’s content will impact the scientific, engineering, financial, economic, environmental, social, and commercial sectors.

Author : Francesco Montomoli,Mauro Carnevale,Antonio D'Ammaro,Michela Massini,Simone Salvadori
Publisher : Springer
Page : 90 pages
File Size : 48,6 Mb
Release : 2015-02-19
Category : Technology & Engineering
ISBN : 9783319146812

Get Book

Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines by Francesco Montomoli,Mauro Carnevale,Antonio D'Ammaro,Michela Massini,Simone Salvadori Pdf

This book introduces novel design techniques developed to increase the safety of aircraft engines. The authors demonstrate how the application of uncertainty methods can overcome problems in the accurate prediction of engine lift, caused by manufacturing error. This in turn ameliorates the difficulty of achieving required safety margins imposed by limits in current design and manufacturing methods. This text shows that even state-of-the-art computational fluid dynamics (CFD) are not able to predict the same performance measured in experiments; CFD methods assume idealised geometries but ideal geometries do not exist, cannot be manufactured and their performance differs from real-world ones. By applying geometrical variations of a few microns, the agreement with experiments improves dramatically, but unfortunately the manufacturing errors in engines or in experiments are unknown. In order to overcome this limitation, uncertainty quantification considers the probability density functions of manufacturing errors. It is then possible to predict the overall variation of the jet engine performance using stochastic techniques. Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines demonstrates that some geometries are not affected by manufacturing errors, meaning that it is possible to design safer engines. Instead of trying to improve the manufacturing accuracy, uncertainty quantification when applied to CFD is able to indicate an improved design direction. This book will be of interest to gas turbine manufacturers and designers as well as CFD practitioners, specialists and researchers. Graduate and final year undergraduate students may also find it of use.

Author : Ralph C. Smith
Publisher : SIAM
Page : 400 pages
File Size : 50,5 Mb
Release : 2013-12-02
Category : Computers
ISBN : 9781611973211

Get Book

Uncertainty Quantification by Ralph C. Smith Pdf

The field of uncertainty quantification is evolving rapidly because of increasing emphasis on models that require quantified uncertainties for large-scale applications, novel algorithm development, and new computational architectures that facilitate implementation of these algorithms. Uncertainty Quantification: Theory, Implementation, and Applications provides readers with the basic concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models arising in a broad range of disciplines. The book begins with a detailed discussion of applications where uncertainty quantification is critical for both scientific understanding and policy. It then covers concepts from probability and statistics, parameter selection techniques, frequentist and Bayesian model calibration, propagation of uncertainties, quantification of model discrepancy, surrogate model construction, and local and global sensitivity analysis. The author maintains a complementary web page where readers can find data used in the exercises and other supplementary material.

Author : Francis X. Giraldo
Publisher : Springer Nature
Page : 559 pages
File Size : 48,8 Mb
Release : 2020-10-30
Category : Mathematics
ISBN : 9783030550691

Get Book

An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases by Francis X. Giraldo Pdf

This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book’s main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.

Author : Oliver Sander
Publisher : Springer Nature
Page : 616 pages
File Size : 53,5 Mb
Release : 2020-12-07
Category : Computers
ISBN : 9783030597023

Get Book

DUNE — The Distributed and Unified Numerics Environment by Oliver Sander Pdf

The Distributed and Unified Numerics Environment (Dune) is a set of open-source C++ libraries for the implementation of finite element and finite volume methods. Over the last 15 years it has become one of the most commonly used libraries for the implementation of new, efficient simulation methods in science and engineering. Describing the main Dune libraries in detail, this book covers access to core features like grids, shape functions, and linear algebra, but also higher-level topics like function space bases and assemblers. It includes extensive information on programmer interfaces, together with a wealth of completed examples that illustrate how these interfaces are used in practice. After having read the book, readers will be prepared to write their own advanced finite element simulators, tapping the power of Dune to do so.

Author : Vladimir A. Garanzha,Lennard Kamenski,Hang Si
Publisher : Springer Nature
Page : 419 pages
File Size : 50,7 Mb
Release : 2021-09-25
Category : Mathematics
ISBN : 9783030767983

Get Book

Numerical Geometry, Grid Generation and Scientific Computing by Vladimir A. Garanzha,Lennard Kamenski,Hang Si Pdf

The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Delaunay triangulations and their applications, celebrating the 130th birthday of Boris Delaunay. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.

Author : Fred J. Vermolen,Cornelis Vuik
Publisher : Springer Nature
Page : 1185 pages
File Size : 55,9 Mb
Release : 2021-04-30
Category : Mathematics
ISBN : 9783030558741

Get Book

Numerical Mathematics and Advanced Applications ENUMATH 2019 by Fred J. Vermolen,Cornelis Vuik Pdf

This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019). The conference was organized by Delft University of Technology and was held in Egmond aan Zee, the Netherlands, from September 30 to October 4, 2019. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015) and Bergen (2017).

Author : T. J. Sullivan
Publisher : Unknown
Page : 342 pages
File Size : 43,9 Mb
Release : 2015
Category : Electronic
ISBN : 3919233948

Get Book

Introduction to uncertainty quantification by T. J. Sullivan Pdf

Author : Andrew Dienstfrey,Ronald Boisvert
Publisher : Springer
Page : 320 pages
File Size : 41,8 Mb
Release : 2012-08-11
Category : Computers
ISBN : 9783642326776

Get Book

Uncertainty Quantification in Scientific Computing by Andrew Dienstfrey,Ronald Boisvert Pdf

This book constitutes the refereed post-proceedings of the 10th IFIP WG 2.5 Working Conference on Uncertainty Quantification in Scientific Computing, WoCoUQ 2011, held in Boulder, CO, USA, in August 2011. The 24 revised papers were carefully reviewed and selected from numerous submissions. They are organized in the following topical sections: UQ need: risk, policy, and decision making, UQ theory, UQ tools, UQ practice, and hot topics. The papers are followed by the records of the discussions between the participants and the speaker.

Author : Yan Wang,David L. McDowell
Publisher : Woodhead Publishing Limited
Page : 604 pages
File Size : 52,5 Mb
Release : 2020-03-12
Category : Materials science
ISBN : 9780081029411

Get Book

Uncertainty Quantification in Multiscale Materials Modeling by Yan Wang,David L. McDowell Pdf

Uncertainty Quantification in Multiscale Materials Modeling provides a complete overview of uncertainty quantification (UQ) in computational materials science. It provides practical tools and methods along with examples of their application to problems in materials modeling. UQ methods are applied to various multiscale models ranging from the nanoscale to macroscale. This book presents a thorough synthesis of the state-of-the-art in UQ methods for materials modeling, including Bayesian inference, surrogate modeling, random fields, interval analysis, and sensitivity analysis, providing insight into the unique characteristics of models framed at each scale, as well as common issues in modeling across scales.

Author : Roger Ghanem,David Higdon,Howman Owhadi
Publisher : Springer
Page : 0 pages
File Size : 44,7 Mb
Release : 2016-05-08
Category : Mathematics
ISBN : 331912384X

Get Book

Handbook of Uncertainty Quantification by Roger Ghanem,David Higdon,Howman Owhadi Pdf

The topic of Uncertainty Quantification (UQ) has witnessed massive developments in response to the promise of achieving risk mitigation through scientific prediction. It has led to the integration of ideas from mathematics, statistics and engineering being used to lend credence to predictive assessments of risk but also to design actions (by engineers, scientists and investors) that are consistent with risk aversion. The objective of this Handbook is to facilitate the dissemination of the forefront of UQ ideas to their audiences. We recognize that these audiences are varied, with interests ranging from theory to application, and from research to development and even execution.

Author : Ralph C. Smith
Publisher : Unknown
Page : 0 pages
File Size : 53,7 Mb
Release : 2024-07
Category : Mathematics
ISBN : 1611977835

Get Book

Uncertainty Quantification by Ralph C. Smith Pdf

Author : Sourajeet Roy
Publisher : IET
Page : 297 pages
File Size : 41,5 Mb
Release : 2021-12-17
Category : Science
ISBN : 9781839531712

Get Book

Uncertainty Quantification of Electromagnetic Devices, Circuits, and Systems by Sourajeet Roy Pdf

This book focuses on the advances made in the topic of uncertainty quantification (UQ) and stochastic analysis for the design of electromagnetic devices, circuits and systems. It covers the recent explosion in surrogate modelling (metamodeling) techniques for numerically efficient UQ - an attractive, efficient, and popular approach.

Author : George Constantinescu,Marcelo Garcia,Dan Hanes
Publisher : CRC Press
Page : 856 pages
File Size : 42,8 Mb
Release : 2016-06-22
Category : Technology & Engineering
ISBN : 9781315644479

Get Book

River Flow 2016 by George Constantinescu,Marcelo Garcia,Dan Hanes Pdf

Understanding and being able to predict fluvial processes is one of the biggest challenges for hydraulics and environmental engineers, hydrologists and other scientists interested in preserving and restoring the diverse functions of rivers. The interactions among flow, turbulence, vegetation, macroinvertebrates and other organisms, as well as the transport and retention of particulate matter, have important consequences on the ecological health of rivers. Managing rivers in an ecologically friendly way is a major component of sustainable engineering design, maintenance and restoration of ecological habitats. To address these challenges, a major focus of River Flow 2016 was to highlight the latest advances in experimental, computational and theoretical approaches that can be used to deepen our understanding and capacity to predict flow and the associated fluid-driven ecological processes, anthropogenic influences, sediment transport and morphodynamic processes. River Flow 2016 was organized under the auspices of the Committee for Fluvial Hydraulics of the International Association for Hydro-Environment Engineering and Research (IAHR). Since its first edition in 2002, the River Flow conference series has become the main international event focusing on river hydrodynamics, sediment transport, river engineering and restoration. Some of the highlights of the 8th International Conference on Fluvial Hydraulics were to focus on inter-disciplinary research involving, among others, ecological and biological aspects relevant to river flows and processes and to emphasize broader themes dealing with river sustainability. River Flow 2016 (extended abstract book 854 pages + full paper CD-ROM 2436 pages) contains the contributions presented during the regular sessions covering the main conference themes and the special sessions focusing on specific hot topics of river flow research, and will be of interest to academics interested in hydraulics, hydrology and environmental engineering.

Author : Peter F. Pelz,Peter Groche,Marc E. Pfetsch,Maximilian Schaeffner
Publisher : Springer Nature
Page : 483 pages
File Size : 53,6 Mb
Release : 2021-10-11
Category : Technology & Engineering
ISBN : 9783030783549

Get Book

Mastering Uncertainty in Mechanical Engineering by Peter F. Pelz,Peter Groche,Marc E. Pfetsch,Maximilian Schaeffner Pdf

This open access book reports on innovative methods, technologies and strategies for mastering uncertainty in technical systems. Despite the fact that current research on uncertainty is mainly focusing on uncertainty quantification and analysis, this book gives emphasis to innovative ways to master uncertainty in engineering design, production and product usage alike. It gathers authoritative contributions by more than 30 scientists reporting on years of research in the areas of engineering, applied mathematics and law, thus offering a timely, comprehensive and multidisciplinary account of theories and methods for quantifying data, model and structural uncertainty, and of fundamental strategies for mastering uncertainty. It covers key concepts such as robustness, flexibility and resilience in detail. All the described methods, technologies and strategies have been validated with the help of three technical systems, i.e. the Modular Active Spring-Damper System, the Active Air Spring and the 3D Servo Press, which have been in turn developed and tested during more than ten years of cooperative research. Overall, this book offers a timely, practice-oriented reference guide to graduate students, researchers and professionals dealing with uncertainty in the broad field of mechanical engineering.