Inverse Analyses with Model Reduction

Proper Orthogonal Decomposition in Structural Mechanics
Author: Vladimir Buljak
Publisher: Springer Science & Business Media
ISBN: 9783642227035
Category: Mathematics
Page: 206
View: 8322

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In this self-consistent monograph, the author gathers and describes different mathematical techniques and combines all together to form practical procedures for the inverse analyses. It puts together topics coming from mathematical programming, with soft computing and Proper Orthogonal Decomposition, in order to show, in the context of structural analyses, how the things work and what are the main problems one needs to tackle. Throughout the book a number of examples and exercises are worked out in order to make reader practically familiar with discussed topics.

Towards Autonomous Robotic Systems

17th Annual Conference, TAROS 2016, Sheffield, UK, June 26--July 1, 2016, Proceedings
Author: Lyuba Alboul,Dana Damian,Jonathan M. Aitken
Publisher: Springer
ISBN: 3319403796
Category: Computers
Page: 384
View: 7697

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This book constitutes the refereed proceedings of the 17th Annual Conference on Towards Autonomous Robotics, TAROS 2016, held in Sheffield UK, in June/July 2016. The 23 revised full papers presented together with 15 short papers were carefully reviewed and selected from 56 submissions. The overall program covers various aspects of robotics, including navigation, planning, sensing and perception, flying and swarm robots, ethics, humanoid robotics, human-robot interaction, and social robotics.

Cardiovascular Mechanics

Author: Michel F. Labrosse
Publisher: CRC Press
ISBN: 1315280272
Category: Medical
Page: 386
View: 4393

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The objective of this book is to illustrate in specific detail how cardiovascular mechanics stands as a common pillar supporting such different clinical successes as drugs for high blood pressure, prosthetic heart valves and coronary artery bypass grafting, among others. This information is conveyed through a comprehensive treatment of the overarching principles and theories that are behind mechanobiological processes, aortic and arterial mechanics, atherosclerosis, blood and microcirculation, hear valve mechanics, as well as medical devices and drugs.

The Proper Generalized Decomposition for Advanced Numerical Simulations

A Primer
Author: Francisco Chinesta,Roland Keunings,Adrien Leygue
Publisher: Springer Science & Business Media
ISBN: 3319028650
Category: Technology & Engineering
Page: 117
View: 5205

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Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab© software used to generate these examples.

Computational Fluid and Solid Mechanics 2003

Author: K.J Bathe
Publisher: Elsevier
ISBN: 9780080529479
Category: Technology & Engineering
Page: 2524
View: 9618

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Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Encyclopedia of Computational Mechanics, 6 Volume Set

Author: Erwin Stein,René de Borst,Thomas J. R. Hughes
Publisher: Wiley
ISBN: 9781119003793
Category: Mathematics
Page: 3256
View: 3584

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ECM2 is a completely updated and expanded Second Edition of the well-established Encyclopedia of Computational Mechanics. The project has once again been prepared under the guidance of three of the world’s foremost experts in the field: Erwin Stein, Professor Emeritus, Stein Institut für Baumechanik und Numerische Mechanik, Leibniz Universität, Hannover, Germany René de Borst, Centenary Professor of Civil Engineering, University of Sheffield, UK Thomas J. R. Hughes, Peter O'Donnell Jr. Chair in Computational and Applied Mathematics and Professor of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, TX USA Though following the same structure as the first edition, ECM2 has been expanded from three to six volumes with the subjects "Fundamentals" in Volumes 1 & 2, "Solids and Structures" in Volumes 3 & 4, and "Fluids" in Volumes 5 & 6. It is published both in print and on line. Volumes 1 & 2, Fundamentals , contain contributions related to mathematics, mechanics, and computer science, and are structured as discretization methods, treating approximations with finite differences, discrete variational forms, boundary integral equations and further problem-oriented techniques, and the generation and visualization of geometry; meshes and results; various direct and iterative solvers; and time-dependent problems. Volumes 3 & 4, Solids and Structures , are organized into five different parts, namely, structural behavior; constitutive theories and their implementation; materials and processing; interaction problems; and identification, stochastics, and optimization. Volumes 5 & 6, Fluids, builds on the fundamentals described in Volumes 1 & 2. The chapters in Volumes 5 & 6 fall within four main groupings. The first grouping includes chapters describing additional basic methodologies used in computational fluid dynamics. The second comprises chapters on various aspects of incompressible viscous flows. The third part focuses on compressible fluid dynamics. The fourth pertains to problems involving moving domains and free surfaces, and application areas. With contributions from more than 50 leading experts drawn from around the globe, this is an essential and comprehensive reference for any university engineering department or corporation, containing must-have, up-to-date content of huge value to researchers, students and practitioners alike.

Nonlinear Solid Mechanics for Finite Element Analysis: Statics

Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 1107115795
Category: Mathematics
Page: 350
View: 6203

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A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.

Advances in Computation, Modeling and Control of Transitional and Turbulent Flows

Author: Tapan K Sengupta,Sanjiva K Lele,Katepalli R Sreenivasan,Peter A Davidson
Publisher: World Scientific
ISBN: 9814635170
Category: Technology & Engineering
Page: 470
View: 7127

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' The role of high performance computing in current research on transitional and turbulent flows is undoubtedly very important. This review volume provides a good platform for leading experts and researchers in various fields of fluid mechanics dealing with transitional and turbulent flows to synergistically exchange ideas and present the state of the art in the fields. Contributed by eminent researchers, the book chapters feature keynote lectures, panel discussions and the best invited contributed papers. Contents:Keynote Speakers:Large-Eddy Simulation of the Navier-Stokes Equations: Deconvolution, Particle Methods, and Super-Resolution (A Leonard)Convective Transport in the Sun (S M Hanasoge, L Gizon, K R Sreenivasan)Rapidly-Rotating Turbulence and its Role in Planetary Dynamos (P A Davidson)Low-Order Models for Control of Fluids: Balanced Models and the Koopman Operator(C W Rowley)Contributed Papers:Different Routes of Transition by Spatio-Temporal Wave-Front (S Bhaumik, T K Sengupta, V Mudkavi)Bypass Transitional Flow Past an Aerofoil With and Without Surface Roughness Elements (Y G Bhumkar, T W H Sheu, T K Sengupta)Global Stability and Transition to Intermittent Chaos in the Cubical Lid-Driven Cavity Flow Problem (J-Ch Loiseau, J-Ch Robinet, E Leriche)Spatio-Temporal Wave Front — Essential Element of Flow Transition for Low Amplitude Excitations (A Mulloth, P Suchandra, T K Sengupta)Simulations Using Transition Models within the Framework of RANS (Y C Manu, A Rajesh, M B Subrahmanya, D S Kulkarni, B N Rajan)DNS of Incompressible Square Duct Flow and Its Receptivity to Free Stream Turbulence (P M Bagade, N Sawant, M Sriramkrishnan, T K Sengupta)Evolution of RANS Modelling of High Speed Mixing Layers using LES (A S Iyer, N K S Rajan, D Chakraborthy)Numerical Investigation of Centrifugal Instability Around a Circular Cylinder Rotated Impulsively (A M Prabhu, R K Shukla, J H Arakeri)Direct Numerical Simulations of Riblets in a Fully-Developed Turbulent Channel Flow: Effects of Geometry (J H Ng, R K Jaiman, T T Lim)Computational Studies on Flow Separation Controls at Relatively Low Reynolds Number Regime (K Fujii)Frequency Dependent Capacitance SDBD Plasma Model for Flow Control (P M Bagade, T K Sengupta, S Sengupta, H D Vo)Effects of Uniform Blowing or Suction on the Amplitude Modulation in Spatially Developing Turbulent Boundary Layers (Y Kametani, R Örlü, P Schlatter, K Fukagata)Turbulent Drag Reduction in Channel Flow Using Weak-Pressure Forcing (B A Khan, M F Baig)Drifting of Internal Gravity Wave in a Non-Boussinesq Stably Stratified Turbulent Channel Flow (S M Yahya, S Sanghi, S F Anwer)Numerical Study of Sink Flow Turbulent Boundary Layers (S S Patwardhan, O N Ramesh)Coherent Structure in Oil Body Embedded in Compound Vortex (T O Chaplina, Yu D Chashechkin)Quantitative Characterization of Single Orifice Hydraulic Flat Spray Nozzle (D M Sharma, W T Lai)Shell Model for Buoyancy-Driven Turbulent Flows (A Kumar, M K Verma)Numerical Simulations in Low–Prandtl Number Convection (J D Scheel, J Schumacher)Effect of Buoyancy on Turbulent Mixed Convection Flow Through Vertical and Horizontal Channels (N Satish, K Venkatasubbaiah, R Harish)Computation of Boundary Layer Flow over Porous Laminated Flat Plate (K A Nair, A Sameen, S A Lal)Boundary Condition Development for an Adverse Pressure Gradient Turbulent Boundary Layer at the Verge of Separation (V Kitsios, C Atkinson, J A Sillero, G Borrell, A G Gungor, J Jiménez, J Soria)Some Interesting Features of Flow Past Slotted Circular Cylinder at Re = 3500 (G K Suryanarayana, V Y Mudkavi, R Kurade, K M Naveen)A High-Resolution Compressible DNS Study of Flow Past a Low-Pressure Gas Turbine Blade (R Ranjan, S M Deshpande, R Narasimha)Numerical Simulation of Impulsive Supersonic Flow from an Open End of a Shock Tube: A Comparative Study (T Murugan, S De, V Thiagarajan)Green''s Function Analysis of Pressure-Strain Correlations in a Supersonic Pipe, Nozzle and Diffuser (S Ghosh, R Friedrich)The Structure of Turbulence in Poiseuille and Couette Flow at Computationally High Reynolds Number (S Pirozzoli, M Bernardini, P Orlandi)A New Reynolds Stress Damping Function for Hybrid RANS/LES with an Evolved Functional Form (J Weatheritt, R D Sandberg)Direct Numerical and Large Eddy Simulations of Helicity-Induced Stably Stratified Turbulent Flows (A Rahimi, A J Chandy)Comparison of RANS and DNS for Transitional Flow Over WTEA-TE1 Airfoil (P M Bagade, É Laurendeau, A Bhole, N Sharma, T K Sengupta)Extracting Coherent Structures to Explore the Minimum Jet Noise (Z Fu, A Agarwal, A V G Cavalieri, P Jordan)Synchronized Large-Eddy Simulations for Sound Generation Analysis (S Unnikrishnan, D V Gaitonde)DNS of a Turbulent Jet Issuing from an Acoustically Lined Pipe (R D Sandberg, B J Tester)Decomposition of Radiating and Non-Radiating Linear Fluctuating Components in Compressible Flows (P Stegeman, A Ooi, J Soria)Toward Control of Compressible Shear Flows: Investigation of Possible Flow Mechanisms (G Kumar, R Bertsch, V Venugopal, S S Girimaji)Damping Numerical Oscillations in Hybrid Solvers through Detection of Gibbs Phenomenon (V K Chakravarthy, D Chakraborty)Forward and Inverse 3D Fourier Transforms of a DNS Wavepacket Evolving in a Blasius Boundary Layer (K-L Kang, K S Yeo)Reduced Order Modeling by POD of Supercritical Flow Past Circular Cylinder (M K Parvathi, S Ijlal, G Pallavi, T K Sengupta)Proper Orthogonal Decomposition vs. Fourier Analysis for Extraction of Large-Scale Structures of Thermal Convection (S Paul, M K Verma)Energy Spectrum and Flux of Buoyancy-Driven Turbulence (M K Verma, A Kumar, A G Chatterjee)DNS of a Buoyant Turbulent Cloud under Rapid Rotation (A Ranjan, P A Davidson)Numerical Simulation of Shock-Bubble Interaction using High Order Upwind Schemes (A Kundu, S De)Rayleigh-Taylor Instability of a Miscible Fluid at the Interface: Direct Numerical Simulation (A Bhole, S Sengupta, A Sengupta, K S Shruti, N Sharma)A High Resolution Differential Filter for Large Eddy Simulation on Unstructured Grids for High-Order Methods (M Najafiyazdi, S Nadarajah, L Mongeau)A Critical Assessment of Simulations for Transitional and Turbulent Flows (T K Sengupta)Panel Discussion Readership: Researchers, professionals, academics, graduate and senior undergraduates in aerospace engineering, mechanical engineering, engineering mechanics, geophysics and fluid mechanics. Keywords:HPC;Transition;Turbulence;Flow Control;Turbulence Modelling'

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

Author: Ben Q. Li
Publisher: Springer Science & Business Media
ISBN: 1846282055
Category: Technology & Engineering
Page: 578
View: 688

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Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.

Inelastic Analysis of Solids and Structures

Author: M. Kojic,Klaus-Jurgen Bathe
Publisher: Springer Science & Business Media
ISBN: 3540265074
Category: Technology & Engineering
Page: 420
View: 1939

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Inelastic Analysis of Solids and Structures presents in a unified manner the physical and theoretical background of inelastic material models and computational methods, and illustrates the behavior of the models in typical engineering conditions. The book describes experimental observations and principles of mechanics, and efficient computational algorithms for stress calculations as typically performed in finite element analysis. The theoretical background is given to an extent necessary to describe the commonly employed material models in metal isotropic and orthotropic plasticity, thermoplasticity and viscoplasticity, and the plasticity of geological materials. The computational algorithms are developed in a unified manner with some detailed derivations of the algorithmic relations. Many solved examples are presented, which are designed to give insight into the material behavior in various engineering conditions, and to demonstrate the application of the computational algorithms.

Separated Representations and PGD-Based Model Reduction

Fundamentals and Applications
Author: Francisco Chinesta,Pierre Ladevèze
Publisher: Springer
ISBN: 3709117941
Category: Technology & Engineering
Page: 227
View: 9338

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The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,...), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.

Fundamentals of Structural Mechanics

Author: Keith D. Hjelmstad
Publisher: Springer Science & Business Media
ISBN: 0387233318
Category: Technology & Engineering
Page: 480
View: 3940

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A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.

Model Reduction of Parametrized Systems

Author: Peter Benner,Mario Ohlberger,Anthony Patera,Gianluigi Rozza,Karsten Urban
Publisher: Springer
ISBN: 3319587862
Category: Mathematics
Page: 504
View: 5960

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The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems. The book represents the state of the art in the development of reduced order methods. It contains contributions from internationally respected experts, guaranteeing a wide range of expertise and topics. Further, it reflects an important effor t, carried out over the last 12 years, to build a growing research community in this field. Though not a textbook, some of the chapters can be used as reference materials or lecture notes for classes and tutorials (doctoral schools, master classes).

Advances in Fluid Mechanics IX

Author: Matiur Rahman,C. A. Brebbia
Publisher: WIT Press
ISBN: 1845646002
Category: Science
Page: 586
View: 8745

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This book discusses the basic formulations of fluid mechanics and their computer modelling, as well as the relationship between experimental and analytical results. Containing papers from the Ninth International Conference on Advances in Fluid Mechanics, this book discusses the basic formulations of fluid mechanics and their computer modelling, as well as the relationship between experimental and analytical results. Scientists, engineers, and other professionals interested in the latest developments in theoretical and computational fluid mechanics will find the book a useful addition to the literature. The book covers a wide range of topics, with emphasis on new applications and research currently in progress, including: Computational Methods in Fluid Mechanics, Environmental Fluid Mechanics; Experimental Versus Simulation Methods; Multiphase Flow; Hydraulics and Hydrodynamics; Heat and Mass Transfer; Industrial Applications; Wave Studies; Biofluids; Fluid Structure Interaction.

Large-Scale Inverse Problems and Quantification of Uncertainty

Author: Lorenz Biegler,George Biros,Omar Ghattas,Matthias Heinkenschloss,David Keyes,Bani Mallick,Luis Tenorio,Bart van Bloemen Waanders,Karen Willcox,Youssef Marzouk
Publisher: John Wiley & Sons
ISBN: 1119957583
Category: Mathematics
Page: 388
View: 2541

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This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast Partial Differential Equation (PDE) solvers, reduced-order models and emulators of the forward problem, stochastic spectral approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic optimization through adjoint and other sensitivity analysis methods. Key Features: • Brings together the perspectives of researchers in areas of inverse problems and data assimilation. • Assesses the current state-of-the-art and identify needs and opportunities for future research. • Focuses on the computational methods used to analyze and simulate inverse problems. • Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in statistics, mathematics and engineering will benefit from this book.

Spectral Finite Element Method

Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures
Author: Srinivasan Gopalakrishnan,Abir Chakraborty,Debiprosad Roy Mahapatra
Publisher: Springer Science & Business Media
ISBN: 1846283566
Category: Technology & Engineering
Page: 440
View: 7772

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This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic manner. Readers will gain understanding of how to formulate Spectral Finite Element; learn about wave behaviour in inhomogeneous and anisotropic media; and, be able to design some diagnostic tools for monitoring the health of a structure. Tables, figures and graphs support the theory and case studies are included.

A Modern Course in Aeroelasticity

Author: Robert Clark,David Cox,Howard C. Jr. Curtiss,John W. Edwards,Kenneth C. Hall,David A. Peters,Robert Scanlan,Emil Simiu,Fernando Sisto,Thomas W. Strganac
Publisher: Springer Science & Business Media
ISBN: 9781402027116
Category: Mathematics
Page: 746
View: 5775

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In this new edition, the fundamental material on classical linear aeroelasticity has been revised. Also new material has been added describing recent results on the research frontiers dealing with nonlinear aeroelasticity as well as major advances in the modelling of unsteady aerodynamic flows using the methods of computational fluid dynamics and reduced order modeling techniques. New chapters on aeroelasticity in turbomachinery and aeroelasticity and the latter chapters for a more advanced course, a graduate seminar or as a reference source for an entrée to the research literature.