Adjoint Based, Error Controlled, Loosely Coupled, Unstructured Design Optimization and Adaptive Mesh Refinement Using FUN3D

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ISBN 13 : 9780355322934
Total Pages : 77 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Adjoint Based, Error Controlled, Loosely Coupled, Unstructured Design Optimization and Adaptive Mesh Refinement Using FUN3D by : Troy E. Lake

Download or read book Adjoint Based, Error Controlled, Loosely Coupled, Unstructured Design Optimization and Adaptive Mesh Refinement Using FUN3D written by Troy E. Lake and published by . This book was released on 2017 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adjoint-based design problems are dependent on the sensitivities from the CFD solution. Current best practices for these adjoint based design problems use fixed-complexity computational meshes that are built using developed best practices. An issue with these fixed-complexity computational meshes is that flow features may not be properly or completely captured. To improve the accuracy of the solution and the sensitivities, the mesh can be adaptively refined to reduce the discretization error within the flow solution. By adapting the mesh, the size of the mesh may be reduced as well, increasing the computational efficiency of the design problem. The computational efficiency of the design problem may also be improved with the use of progressive design variable parameterization. This research focuses on developing methodologies for variations of current best practices methods for design optimization problems including the use of adaptive mesh refinement and progressive design variable parametrization.

Application of the Discrete Adjoint Method to Coupled Multidisciplinary Unsteady Flow Problems for Error Estimation and Optimization

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ISBN 13 : 9781109532463
Total Pages : 197 pages
Book Rating : 4.5/5 (324 download)

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Book Synopsis Application of the Discrete Adjoint Method to Coupled Multidisciplinary Unsteady Flow Problems for Error Estimation and Optimization by : Karthik Mani

Download or read book Application of the Discrete Adjoint Method to Coupled Multidisciplinary Unsteady Flow Problems for Error Estimation and Optimization written by Karthik Mani and published by . This book was released on 2009 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adjoint methods have found applications in several key areas of computational fluid dynamics (CFD), namely, shape optimization and goal based adaptive solutions. CFD has become an essential tool in the design process by enabling the rapid testing of multiple designs, and currently it is normal practice to use CFD in conjunction with optimization algorithms for design improvement. In the context of shape optimization problems based on CFD, adjoint methods offer the significant advantage of computing sensitivity derivatives of the optimization cost function with respect to the set of design parameters, at a cost that is essentially independent of the number of design parameters. Adjoint methods reduce the cost of obtaining the complete gradient vector at any point in the design space equivalent to that of a single flow solution at the same point in the design space. This immediately enables the use of all gradient based optimization algorithms and lifts any restrictions on the number of design parameters required for the adequate definition of the optimization problem. Adaptive techniques in CFD constitute the other aspect where adjoint methods have have made great inroads. Typical adaptive solutions of the governing flow equations rely on estimating the local error in an evolving solution to target regions of the computational mesh for increased discrete resolution. The main goal of any adaptive solution method is the overall increase in solution accuracy with minimal increase in computational cost. However, targeting local error in the solution does not translate into efficient use of computational resources, since ultimately it is the accurate estimation of boundary integrated functional quantities such as load coefficients that are of importance to the user. Contrary to local error-based methods, adjoint methods allow the adaptation of the computational mesh specifically for the improvement of functionals such as load coefficients. This is achieved by mathematically establishing a clear relationship between the functional of interest and the regions of the computational mesh that are most relevant to it. The current work extends the use of adjoint methods to multiple governing disciplines that are tightly coupled, and more importantly unsteady in nature. The adjoint method is derived in a very general form for the purpose of computing the gradient vector for use in shape optimization in the context of coupled multidisciplinary unsteady equations. It is shown that computing the gradient vector in unsteady problems involves solving the analysis problem forward in time and then solving the adjoint problem backward in time. While adjoint methods have been used successively to drive spatial mesh adaptation, the current work extends the use of the computed unsteady adjoint variables for estimating temporal discretization error, which is then applied to temporal mesh adaptation. Additionally, the computed adjoint variables are also used for the estimation of algebraic error in the solution arising due to intentional or nonintentional partial convergence of the governing equations. Results indicate that the adaptation of the temporal resolution and convergence tolerance limits using adjoint-based error estimates is able to outperform traditional adaptation methods such as uniform refinement and those based on local error estimates. All of the development is carried out in a fully unstructured mesh framework with dynamic deformation of the computational spatial mesh.

Opportunities for Breakthroughs in Large-Scale Computational Simulation and Design

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Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Opportunities for Breakthroughs in Large-Scale Computational Simulation and Design by :

Download or read book Opportunities for Breakthroughs in Large-Scale Computational Simulation and Design written by and published by . This book was released on 2002 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Opportunities for breakthroughs in the large-scale computational simulation and design of aerospace vehicles are presented. Computational fluid dynamics tools to be used within multidisciplinary analysis and design methods are emphasized. The opportunities stem from speedups and robustness improvements in the underlying unit operations associated with simulation (geometry modeling, grid generation, physical modeling, analysis, etc.). Further, an improved programming environment can synergistically integrate these unit operations to leverage the gains. The speedups result from reducing the problem setup time through geometry modeling and grid generation operations, and reducing the solution time through the operation counts associated with solving the discretized equations to a sufficient accuracy. The opportunities are addressed only at a general level here, but an extensive list of references containing further details is included.

Handbook of Grid Generation

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Publisher : CRC Press
ISBN 13 : 9781420050349
Total Pages : 1136 pages
Book Rating : 4.0/5 (53 download)

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Book Synopsis Handbook of Grid Generation by : Joe F. Thompson

Download or read book Handbook of Grid Generation written by Joe F. Thompson and published by CRC Press. This book was released on 1998-12-29 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.

Preconditioned Conjugate-Gradient 2 (PCG2), a Computer Program for Solving Ground-water Flow Equations

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Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Preconditioned Conjugate-Gradient 2 (PCG2), a Computer Program for Solving Ground-water Flow Equations by : Mary Catherine Hill

Download or read book Preconditioned Conjugate-Gradient 2 (PCG2), a Computer Program for Solving Ground-water Flow Equations written by Mary Catherine Hill and published by . This book was released on 1990 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rotorcraft Aeromechanics

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Publisher : Cambridge University Press
ISBN 13 : 1107355281
Total Pages : 949 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Rotorcraft Aeromechanics by : Wayne Johnson

Download or read book Rotorcraft Aeromechanics written by Wayne Johnson and published by Cambridge University Press. This book was released on 2013-04-29 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rotorcraft is a class of aircraft that uses large-diameter rotating wings to accomplish efficient vertical take-off and landing. The class encompasses helicopters of numerous configurations (single main rotor and tail rotor, tandem rotors, coaxial rotors), tilting proprotor aircraft, compound helicopters, and many other innovative configuration concepts. Aeromechanics covers much of what the rotorcraft engineer needs: performance, loads, vibration, stability, flight dynamics, and noise. These topics include many of the key performance attributes and the often-encountered problems in rotorcraft designs. This comprehensive book presents, in depth, what engineers need to know about modelling rotorcraft aeromechanics. The focus is on analysis, and calculated results are presented to illustrate analysis characteristics and rotor behaviour. The first third of the book is an introduction to rotorcraft aerodynamics, blade motion, and performance. The remainder of the book covers advanced topics in rotary wing aerodynamics and dynamics.

Multigrid Techniques

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Publisher : SIAM
ISBN 13 : 9781611970753
Total Pages : 239 pages
Book Rating : 4.9/5 (77 download)

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Book Synopsis Multigrid Techniques by : Achi Brandt

Download or read book Multigrid Techniques written by Achi Brandt and published by SIAM. This book was released on 2011-01-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text presents the best practices of developing multigrid solvers for large-scale computational problems in science and engineering. By representing a problem at multiple scales and employing suitable interscale interactions, multigrid avoids slowdown due to stiffness and reduces the computational cost of classical algorithms by orders of magnitude. Starting from simple examples, this book guides the reader through practical stages for developing reliable multigrid solvers, methodically supported by accurate performance predictors. The revised edition presents discretization and fast solution of linear and nonlinear partial differential systems; treatment of boundary conditions, global constraints and singularities; grid adaptation, high-order approximations, and system design optimization; applications to fluid dynamics, from simple models to advanced systems; new quantitative performance predictors, a MATLAB sample code, and more. Readers will also gain access to the Multigrid Guide 2.0 Web site, where updates and new developments will be continually posted, including a chapter on Algebraic Multigrid.

Generalized Riemann Problems in Computational Fluid Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521772969
Total Pages : 370 pages
Book Rating : 4.7/5 (729 download)

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Book Synopsis Generalized Riemann Problems in Computational Fluid Dynamics by : Matania Ben-Artzi

Download or read book Generalized Riemann Problems in Computational Fluid Dynamics written by Matania Ben-Artzi and published by Cambridge University Press. This book was released on 2003-04-10 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book accessible to both researchers and graduate students of applied mathematics, science and engineering.

Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines

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Publisher : Springer Science & Business Media
ISBN 13 : 1402046057
Total Pages : 605 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines by : Kenneth C. Hall

Download or read book Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines written by Kenneth C. Hall and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a collection of technical papers that were presented at the 10th International Symposium on Unsteady Aerodynamics, Aeroacoustics, and Aeroelasticity of Turbomachines held September 8-11, 2003 at Duke University in Durham, North Carolina. The papers represent the latest in state of the art research in the areas of aeroacoustics, aerothermodynamics, computational methods, experimental testing related to flow instabilities, flutter, forced response, multistage, and rotor-stator effects for turbomachinery.

Radiation Hydrodynamics

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Publisher : Cambridge University Press
ISBN 13 : 0521833094
Total Pages : 369 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Radiation Hydrodynamics by : John I. Castor

Download or read book Radiation Hydrodynamics written by John I. Castor and published by Cambridge University Press. This book was released on 2004-09-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Shock Wave-Boundary-Layer Interactions

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Publisher : Cambridge University Press
ISBN 13 : 1139498649
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Shock Wave-Boundary-Layer Interactions by : Holger Babinsky

Download or read book Shock Wave-Boundary-Layer Interactions written by Holger Babinsky and published by Cambridge University Press. This book was released on 2011-09-12 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock wave-boundary-layer interaction (SBLI) is a fundamental phenomenon in gas dynamics that is observed in many practical situations, ranging from transonic aircraft wings to hypersonic vehicles and engines. SBLIs have the potential to pose serious problems in a flowfield; hence they often prove to be a critical - or even design limiting - issue for many aerospace applications. This is the first book devoted solely to a comprehensive, state-of-the-art explanation of this phenomenon. It includes a description of the basic fluid mechanics of SBLIs plus contributions from leading international experts who share their insight into their physics and the impact they have in practical flow situations. This book is for practitioners and graduate students in aerodynamics who wish to familiarize themselves with all aspects of SBLI flows. It is a valuable resource for specialists because it compiles experimental, computational and theoretical knowledge in one place.

Synthesis of Subsonic Airplane Design

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Publisher : Springer Science & Business Media
ISBN 13 : 9401732027
Total Pages : 607 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Synthesis of Subsonic Airplane Design by : E. Torenbeek

Download or read book Synthesis of Subsonic Airplane Design written by E. Torenbeek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the education of aeronautical engineers at Delft University of Technology started in 1940 under tae inspiring leadership of Professor H.J. van der Maas, much emphasis has been placed on the design of aircraft as part of the student's curriculum. Not only is aircraft design an optional subject for thesis work, but every aeronautical student has to carry out a preliminary airplane design in the course of his study. The main purpose of this preliminary design work is to enable the student to synthesize the knowledge ob tained separately in courses on aerodynamics, aircraft performances, stability and con trol, aircraft structures, etc. The student's exercises in preliminary design have been directed through the years by a number of staff members of the Department of Aerospace Engineering in Delft. The author of this book, Mr. E. Torenbeek, has made a large contribution to this part of the study programme for many years. Not only has he acquired vast experience in teaching airplane design at university level, but he has also been deeply involved in design-oriented re search, e.g. developing rational design methods and systematizing design information. I am very pleased that this wealth of experience, methods and data is now presented in this book.

Standard Handbook for Aerospace Engineers, Second Edition

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Publisher : McGraw Hill Professional
ISBN 13 : 1259585182
Total Pages : 1393 pages
Book Rating : 4.2/5 (595 download)

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Book Synopsis Standard Handbook for Aerospace Engineers, Second Edition by : Brij N. Agrawal

Download or read book Standard Handbook for Aerospace Engineers, Second Edition written by Brij N. Agrawal and published by McGraw Hill Professional. This book was released on 2018-02-26 with total page 1393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. A single source of essential information for aerospace engineers This fully revised resource presents theories and practices from more than 50 specialists in the many sub-disciplines of aeronautical and astronautical engineering—all under one cover. The Standard Handbook for Aerospace Engineers, Second Edition, contains complete details on classic designs as well as the latest techniques, materials, and processes used in aviation, defense, and space systems. You will get insightful, practical coverage of the gamut of aerospace engineering technologies along with hundreds of informative diagrams, charts, and graphs. Standard Handbook for Aerospace Engineers, Second Edition covers: •Futures of aerospace •Aircraft systems •Aerodynamics, aeroelasticity, and acoustics •Aircraft performance •Aircraft flight mechanics, stability, and control •Avionics and air traffic management systems •Aeronautical design •Spacecraft design •Astrodynamics •Rockets and launch vehicles •Earth’s environment and space •Attitude dynamics and control

Aerodynamic Noise

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Publisher : Springer Science & Business Media
ISBN 13 : 1461450195
Total Pages : 175 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Aerodynamic Noise by : Tarit Bose

Download or read book Aerodynamic Noise written by Tarit Bose and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aerodynamic Noise extensively covers the theoretical basis and mathematical modeling of sound, especially the undesirable sounds produced by aircraft. This noise could come from an aircraft’s engine—propellers, fans, combustion chamber, jets—or the vehicle itself—external surfaces—or from sonic booms. The majority of the sound produced is due to the motion of air and its interaction with solid boundaries, and this is the main discussion of the book. With problem sets at the end of each chapter, Aerodynamic Noise is ideal for graduate students of mechanical and aerospace engineering. It may also be useful for designers of cars, trains, and wind turbines.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319224700
Total Pages : 139 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Certified Reduced Basis Methods for Parametrized Partial Differential Equations by : Jan S Hesthaven

Download or read book Certified Reduced Basis Methods for Parametrized Partial Differential Equations written by Jan S Hesthaven and published by Springer. This book was released on 2015-08-20 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Atmospheric Boundary Layer

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Publisher : Cambridge University Press
ISBN 13 : 1107090946
Total Pages : 283 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Atmospheric Boundary Layer by : Jordi Vil...-Guerau de Arellano

Download or read book Atmospheric Boundary Layer written by Jordi Vil...-Guerau de Arellano and published by Cambridge University Press. This book was released on 2015-06-04 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on more than 20 years of research and lecturing, Jordi Vil...-Guerau de Arellano and his team's textbook provides an excellent introduction to the interactions between the atmosphere and the land for advanced undergraduate and graduate students and a reference text for researchers in atmospheric physics and chemistry, hydrology, and plant physiology. The combination of the book, which provides the essential theoretical concepts, and the associated interactive Chemistry Land-surface Atmosphere Soil Slab (CLASS) software, which provides hands-on practical exercises and allows students to design their own numerical experiments, will prove invaluable for learning about many aspects of the soil-vegetation-atmosphere system. This book has a modular and flexible structure, allowing instructors to accommodate it to their own learning-outcome needs.

Numerical Aerodynamic Simulation

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Numerical Aerodynamic Simulation by :

Download or read book Numerical Aerodynamic Simulation written by and published by . This book was released on 1987 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: