Higher Order Time Integration Schemes For The Unsteady Navier Stokes Equations On Unstructured Meshes

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Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781720572145
Total Pages : 30 pages
Book Rating : 4.5/5 (721 download)

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Book Synopsis Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes by : National Aeronautics and Space Administration (NASA)

Download or read book Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The efficiency gains obtained using higher-order implicit Runge-Kutta schemes as compared with the second-order accurate backward difference schemes for the unsteady Navier-Stokes equations are investigated. Three different algorithms for solving the nonlinear system of equations arising at each timestep are presented. The first algorithm (NMG) is a pseudo-time-stepping scheme which employs a non-linear full approximation storage (FAS) agglomeration multigrid method to accelerate convergence. The other two algorithms are based on Inexact Newton's methods. The linear system arising at each Newton step is solved using iterative/Krylov techniques and left preconditioning is used to accelerate convergence of the linear solvers. One of the methods (LMG) uses Richardson's iterative scheme for solving the linear system at each Newton step while the other (PGMRES) uses the Generalized Minimal Residual method. Results demonstrating the relative superiority of these Newton's methods based schemes are presented. Efficiency gains as high as 10 are obtained by combining the higher-order time integration schemes with the more efficient nonlinear solvers.Jothiprasad, Giridhar and Mavriplis, Dimitri J. and Caughey, David A. and Bushnell, Dennis M. (Technical Monitor)Langley Research CenterALGORITHMS; NAVIER-STOKES EQUATION; UNSTRUCTURED GRIDS (MATHEMATICS); MEASURE AND INTEGRATION; RUNGE-KUTTA METHOD; AGGLOMERATION; CONVERGENCE; LINEAR SYSTEMS; NONLINEAR SYSTEMS

Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes

Author : Giridhar Jothiprasad
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes by : Giridhar Jothiprasad

Download or read book Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes written by Giridhar Jothiprasad and published by . This book was released on 2002 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

Author : Rainer Ansorge
Publisher : Springer Science & Business Media
ISBN 13 : 364233220X
Total Pages : 325 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws by : Rainer Ansorge

Download or read book Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws written by Rainer Ansorge and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.

Frontiers in PDE-Constrained Optimization

Author : Harbir Antil
Publisher : Springer
ISBN 13 : 1493986368
Total Pages : 434 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Frontiers in PDE-Constrained Optimization by : Harbir Antil

Download or read book Frontiers in PDE-Constrained Optimization written by Harbir Antil and published by Springer. This book was released on 2018-10-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs). As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. Special emphasis is placed on algorithm development and numerical computation. In addition, a comprehensive treatment of inverse problems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.

Computational Fluid Dynamics

Author : Jiri Blazek
Publisher : Butterworth-Heinemann
ISBN 13 : 0128011726
Total Pages : 466 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Computational Fluid Dynamics by : Jiri Blazek

Download or read book Computational Fluid Dynamics written by Jiri Blazek and published by Butterworth-Heinemann. This book was released on 2015-04-23 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics: Principles and Applications, Third Edition presents students, engineers, and scientists with all they need to gain a solid understanding of the numerical methods and principles underlying modern computation techniques in fluid dynamics. By providing complete coverage of the essential knowledge required in order to write codes or understand commercial codes, the book gives the reader an overview of fundamentals and solution strategies in the early chapters before moving on to cover the details of different solution techniques. This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and parallelization. An accompanying companion website contains the sources of 1-D and 2-D Euler and Navier-Stokes flow solvers (structured and unstructured) and grid generators, along with tools for Von Neumann stability analysis of 1-D model equations and examples of various parallelization techniques. Will provide you with the knowledge required to develop and understand modern flow simulation codes Features new worked programming examples and expanded coverage of incompressible flows, implicit Runge-Kutta methods and code parallelization, among other topics Includes accompanying companion website that contains the sources of 1-D and 2-D flow solvers as well as grid generators and examples of parallelization techniques

High-order Methods for Unsteady Flows on Unstructured Dynamic Meshes

Author : Kui Ou
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (795 download)

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Book Synopsis High-order Methods for Unsteady Flows on Unstructured Dynamic Meshes by : Kui Ou

Download or read book High-order Methods for Unsteady Flows on Unstructured Dynamic Meshes written by Kui Ou and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive study of discontinuous finite element based high-order methods has been performed in this thesis, addressing a wide range of important issues related to high-order methods. The thesis starts with a detailed discussion of nodal based high-order methods and careful analysis of their stability properties. In particular, the formulations of nodal Discontinuous Galerkin method, Spectral Difference method, and Flux Reconstruction method for the scalar conservation laws are discussed first. The differences and similarities among these high-order schemes are carefully examined and effectively used to establish the linear stability of these methods. Stability proofs of nodal Discontinuous Galerkin method, Spectral Difference method, and Flux Reconstruction method subsequently lead to a new type of energy stable high-order scheme called Energy Stable Flux Reconstruction scheme. The extension of this new scheme from linear advection equation to the diffusion equation is formulated and discussed. The fundamental study of the high-order methods for scalar conservation laws lays the theoretical foundation for the subsequent extension to include conservation laws for fluid dynamics. The formulation of spectral difference method for the Navier-Stokes equations is first discussed. Validation tests to verify the resulting flow solver are presented. The extension of the spectral difference based Navier-Stokes flow solver from static fixed computational mesh to include dynamic moving deforming mesh is discussed next. An efficient mesh deformation algorithm that can handle substantial boundary movement is proposed and examined. The invariance of conservation laws mapping between coordinate systems allows the high-order scheme to be formulated on dynamic deforming meshes without deteriorating the formal order of accuracy of the underlying scheme. Detailed formulation, analysis, and validation results are presented. As a result of mesh deformation, the issue of geometric conservation needs to be addressed. The definition and origin of the geometric conservation law are discussed. The differential form of the geometric conservation law is derived from first principles for both the scalar conservation law and the fluid dynamic conservation laws. Subsequently a geometric conservative high-order scheme is formulated. The significance of geometric conservation on the stability and accuracy of the flow solution is examined. Finally a wide range of interesting fluid dynamic phenomena have been studied using the resulting high-order flow solver based on dynamic unstructured meshes. The representative test cases cover fluid dynamic phenomena ranging from completely laminar flows, to unsteady vortex dominated flows, and to flows exhibiting mixed regions of laminar, transitional, and turbulent structures. Other work that has been completed in this thesis is included in the appendix. In particular, continuous unsteady adjoint equations for advection and Burger's equations have been derived and solved using the high-order methods. The method of mesh deformation is reformulated as an optimization problem and used to achieve adaptive mesh refinement.

Numerical Methods for Unsteady Compressible Flow Problems

Author : Philipp Birken
Publisher : CRC Press
ISBN 13 : 1000403521
Total Pages : 246 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Numerical Methods for Unsteady Compressible Flow Problems by : Philipp Birken

Download or read book Numerical Methods for Unsteady Compressible Flow Problems written by Philipp Birken and published by CRC Press. This book was released on 2021-07-04 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Unsteady Compressible Flow Problems is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence. The idea of the text is to explain the important ideas to the reader, while giving enough detail and pointers to literature to facilitate implementation of methods and application of concepts. The book covers high order methods in space, such as Discontinuous Galerkin methods, and high order methods in time, in particular implicit ones. A large part of the text is reserved to discuss iterative methods for the arising large nonlinear and linear equation systems. Ample space is given to both state-of-the-art multigrid and preconditioned Newton-Krylov schemes. Features Applications to aerospace, high-speed vehicles, heat transfer, and more besides Suitable as a textbook for graduate-level courses in CFD, or as a reference for practitioners in the field

Computational Aerodynamics

Author : Antony Jameson
Publisher : Cambridge University Press
ISBN 13 : 1108837883
Total Pages : 627 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Computational Aerodynamics by : Antony Jameson

Download or read book Computational Aerodynamics written by Antony Jameson and published by Cambridge University Press. This book was released on 2022-09 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the design and analysis of numerical algorithms for aerodynamics. Ideal for graduates, researchers, and professionals in the field.

Frontiers of Computational Fluid Dynamics 2006

Author : David A. Caughey
Publisher : World Scientific
ISBN 13 : 9812565272
Total Pages : 468 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Frontiers of Computational Fluid Dynamics 2006 by : David A. Caughey

Download or read book Frontiers of Computational Fluid Dynamics 2006 written by David A. Caughey and published by World Scientific. This book was released on 2005 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series of volumes to which this book belongs honors contributors who have made a major impact in computational fluid dynamics. This fourth volume in the series is dedicated to David Caughey on the occasion of his 60th birthday. The first volume was published in 1994 and was dedicated to Prof Antony Jameson. The second, dedicated to Earl Murman, was published in 1998. The third volume was dedicated to Robert MacCormack in 2002.Written by leading researchers from academia, government laboratories, and industry, the contributions in this volume present descriptions of the latest developments in techniques for numerical analysis of fluid flow problems, as well as applications to important problems in industry.

Variable Degree Schwarz Methods for the Implicit Solution of Unsteady Compressible Navier-Stokes Equations on Two-dimensional Unstructured Meshes

Download Variable Degree Schwarz Methods for the Implicit Solution of Unsteady Compressible Navier-Stokes Equations on Two-dimensional Unstructured Meshes PDF Online Free

Author : Xiao-Chuan Cai
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Variable Degree Schwarz Methods for the Implicit Solution of Unsteady Compressible Navier-Stokes Equations on Two-dimensional Unstructured Meshes by : Xiao-Chuan Cai

Download or read book Variable Degree Schwarz Methods for the Implicit Solution of Unsteady Compressible Navier-Stokes Equations on Two-dimensional Unstructured Meshes written by Xiao-Chuan Cai and published by . This book was released on 1996 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

AIAA Journal

Author : American Institute of Aeronautics and Astronautics
Publisher :
ISBN 13 :
Total Pages : 990 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis AIAA Journal by : American Institute of Aeronautics and Astronautics

Download or read book AIAA Journal written by American Institute of Aeronautics and Astronautics and published by . This book was released on 2007 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Computational Fluid Dynamics Techniques

Author : Rainald Löhner
Publisher : John Wiley & Sons
ISBN 13 : 9780470989661
Total Pages : 544 pages
Book Rating : 4.9/5 (896 download)

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Book Synopsis Applied Computational Fluid Dynamics Techniques by : Rainald Löhner

Download or read book Applied Computational Fluid Dynamics Techniques written by Rainald Löhner and published by John Wiley & Sons. This book was released on 2008-04-30 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics. CFD techniques are commonly used in the many areas of engineering where fluid behavior is an important factor. Traditional fields of application include aerospace and automotive design, and more recently, bioengineering and consumer and medical electronics. With Applied Computational Fluid Dynamics Techniques, 2nd edition, Rainald Löhner introduces the reader to the techniques required to achieve efficient CFD solvers, forming a bridge between basic theoretical and algorithmic aspects of the finite element method and its use in an industrial context where methods have to be both as simple but also as robust as possible. This heavily revised second edition takes a practice-oriented approach with a strong emphasis on efficiency, and offers important new and updated material on; Overlapping and embedded grid methods Treatment of free surfaces Grid generation Optimal use of supercomputing hardware Optimal shape and process design Applied Computational Fluid Dynamics Techniques, 2nd edition is a vital resource for engineers, researchers and designers working on CFD, aero and hydrodynamics simulations and bioengineering. Its unique practical approach will also appeal to graduate students of fluid mechanics and aero and hydrodynamics as well as biofluidics.

Computational Fluid Dynamics 2006

Author : Herman Deconinck
Publisher : Springer
ISBN 13 : 9783662500903
Total Pages : 916 pages
Book Rating : 4.5/5 (9 download)

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Book Synopsis Computational Fluid Dynamics 2006 by : Herman Deconinck

Download or read book Computational Fluid Dynamics 2006 written by Herman Deconinck and published by Springer. This book was released on 2016-04-01 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: ThisbookcontainstheproceedingsoftheFourthInternationalConference onComputationalFluidDynamics(ICCFD4), heldinGent, Belgiumfrom July10through16,2006. TheICCFDconferenceseriesisanoutcomeofthe mergeroftwoimportantstreamsofconferencesinComputationalFluid- namics: InternationalConferenceonNumericalMethodsinFluidDynamics, ICNMFD(since1996)andInternationalSymposiumonComputationalFluid Dynamics, ISCFD(since1985). In1998itwasdecidedtojointhetwoand ICCFD emerged as a biannual meeting, held in Kyoto in 2000, Sydney in 2002, Toronto in 2004 and Gent in 2006. Thus, the ICCFD series became theleadinginternationalconferenceseriesforscientists, mathematiciansand engineersinterestedinthecomputationof?uid?ow. The4theditionoftheconferencehasattracted200participantsfromall overtheworld;270abstractswerereceived, ofwhich135wereselectedina carefulpeerreviewprocessbytheexecutivecommittee(C. H. Bruneau, J. -J. Chattot, D. Kwak, N. Satofuka, D. W. Zingg, E. DickandH. Deconinck)for oralpresentationandafurther21forposterpresentation. Thepaperscontainedintheseproceedingsprovideanexcellentsnapshot of the ?eld of Computational Fluid Dynamics as of 2006. Invited keynote lecturesbyrenownedresearchersareincluded, withcontributionsinthe?eld ofdiscretizationschemes, high-endcomputingandengineeringchallenges, and two-phase?ow. Thesekeynotecontributionsarecomplementedby137regular papersonthemostdiverseaspectsofCFD: -Innovativealgorithmdevelopmentfor?owsimulation, optimisationandc- trol: higher-ordermethods(DG, FV, FEandRDmethods), iterativemethods andmultigrid, solutionadaptivemeshtechniques, errorestimationandc- trol, parallelalgorithms. -Innovativemodelingof?owphysicsintheareaofcompressibleandinc- pressible ?ows: hypersonic and reacting ?ows, two-phase ?ows, turbulence (LES, DES, DNS, andtransition), vortexdynamics, boundarylayerstability, multi-scalephysics, magnetohydrodynamics. Preface VII -advancedapplicationsusingtheabovementionedinnovativetechnology, and multidisciplinaryapplicationsincludingaero-elasticityandaero-acoustics. ThanksareduetooursponsorsNASA, theFWOResearchFoundation FlandersandtheEuropeanUnionthroughtheEUA4XMarieCurieproject. Inparticular, thegenerousgrantfromNASAisakeyfactorinthesuccessof thisconferenceseriesandthepublicationoftheseProceedings. Wealsowouldliketothankthesta?andPhDstudentsofthevonKarman InstituteandtheDepartmentof?ow, heatandcombustionmechanicsofthe University of Gent, for the help they provided toward the success of this conference. Sint-Genesius-Rode, Belgium HermanDeconinck vonKarmanInstituteforFluidDynamics Ghent, Belgium ErikDick GhentUniversity September2006 ConferenceChair Contents PartIInvitedSpeakers Twonewtechniquesforgeneratingexactlyincompressible approximatevelocities BernardoCockburn. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 RoleofHigh-EndComputinginMeetingNASA'sScience andEngineeringChallenges RupakBiswas, EugeneL. Tu, WilliamR. VanDalsem. . . . . . . . . . . . . . . . 14 RecentAdvancesofMulti-phaseFlowComputationwiththe AdaptiveSoroban-gridCubicInterpolatedPropagation(CIP) Method TakashiYabe, YouichiOgata, KenjiTakizawa. . . . . . . . . . . . . . . . . . . . . . . 29 PartIISchemes OntheComputationofSteady-StateCompressibleFlows UsingaDGMethod HongLuo, JosephD. Baum, RainaldL]ohner. . . . . . . . . . . . . . . . . . . . . . . . 47 Space-TimeDiscontinuousGalerkinMethodforLarge AmplitudeNonlinearWaterWaves YanXu, JaapJ. W. vanderVegt. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 AdiscontinuousGalerkinmethodwi

Improved Reconstruction Schemes for the Navier-Stokes Equations on Unstructured Meshes

Author : Curtis R. Mitchell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Improved Reconstruction Schemes for the Navier-Stokes Equations on Unstructured Meshes by : Curtis R. Mitchell

Download or read book Improved Reconstruction Schemes for the Navier-Stokes Equations on Unstructured Meshes written by Curtis R. Mitchell and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Computational Methods in Science and Engineering

Author : Barry Koren
Publisher : Springer Science & Business Media
ISBN 13 : 3642033873
Total Pages : 501 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Advanced Computational Methods in Science and Engineering by : Barry Koren

Download or read book Advanced Computational Methods in Science and Engineering written by Barry Koren and published by Springer Science & Business Media. This book was released on 2010-04-29 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.

Proceedings of the 14th International Conference on Vibration Problems

Author : Evangelos J. Sapountzakis
Publisher : Springer Nature
ISBN 13 : 9811580499
Total Pages : 1203 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Proceedings of the 14th International Conference on Vibration Problems by : Evangelos J. Sapountzakis

Download or read book Proceedings of the 14th International Conference on Vibration Problems written by Evangelos J. Sapountzakis and published by Springer Nature. This book was released on 2020-12-23 with total page 1203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the select proceedings of the 14th International Conference on Vibration Problems (ICOVP 2019) held in Crete, Greece. The volume brings together contributions from researchers working on vibration related problems in a wide variety of engineering disciplines such as mechanical engineering, wind and earthquake engineering, nuclear engineering, aeronautics, robotics, and transport systems. The focus is on latest developments and cutting-edge methods in wave mechanics and vibrations, and includes theoretical, experimental, as well as applied studies. The range of topics and the up-to-date results covered in this volume make this interesting for students, researchers, and professionals alike.

New Results in Numerical and Experimental Fluid Mechanics VI

Author : Cameron Tropea
Publisher : Springer Science & Business Media
ISBN 13 : 3540744584
Total Pages : 973 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis New Results in Numerical and Experimental Fluid Mechanics VI by : Cameron Tropea

Download or read book New Results in Numerical and Experimental Fluid Mechanics VI written by Cameron Tropea and published by Springer Science & Business Media. This book was released on 2007-10-26 with total page 973 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features the contributions to the 15th Symposium of the STAB (German Aerospace Aerodynamics Association). Papers provide a broad overview of ongoing work in Germany, including high aspect ratio wings, low aspect ratio wings, bluff bodies, laminar flow control and transition, active flow control, hypersonic flows, aeroelasticity, aeroacoustics, mathematical fundamentals, numerical simulations, physical fundamentals, and facilities.