Advancement Of Shock Capturing Computational Fluid Dynamics Methods

Author : Keiichi Kitamura
Publisher : Springer Nature
ISBN 13 : 9811590117
Total Pages : 136 pages
Book Rating : 4.15/5 ( download)

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Download or read book Advancement of Shock Capturing Computational Fluid Dynamics Methods written by Keiichi Kitamura and published by Springer Nature. This book was released on 2020-10-31 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a compact primer on advanced numerical flux functions in computational fluid dynamics (CFD). It comprehensively introduces readers to methods used at the forefront of compressible flow simulation research. Further, it provides a comparative evaluation of the methods discussed, helping readers select the best numerical flux function for their specific needs. The first two chapters of the book reviews finite volume methods and numerical functions, before discussing issues commonly encountered in connection with each. The third and fourth chapter, respectively, address numerical flux functions for ideal gases and more complex fluid flow cases— multiphase flows, supercritical fluids and magnetohydrodynamics. In closing, the book highlights methods that provide high levels of accuracy. The concise content provides an overview of recent advances in CFD methods for shockwaves. Further, it presents the author’s insights into the advantages and disadvantages of each method, helping readers implement the numerical methods in their own research.

Author : Xavier Lesperance
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.40/5 ( download)

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Download or read book Effectiveness of Shock Capturing Methods in the Discontinuous Galerkin/Flux Reconstruction Scheme for Computational Fluid Dynamics written by Xavier Lesperance and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of various numerical methods capable of accurately simulating fluid flow has evolved greatly over time. In the past years, discontinuous Galerkin methods have seen great interest for problems such as Large Eddy Simulations, Aeroacoustics, incompressible and even compressible flows. These methods attractiveness some from their ability to easily increase the order of accuracy thus yielding more precise solutions. These methods use higher order polynomials, which can easily be increased or decreased within the element, while allowing for discontinuities between elements. When shocks and discontinuities are present in a simulation, particular attention must be taken to avoid Gibbs phenomenon within the elements. This phenomenon occurs when steep gradients in the solution are present causing the solution to have erratic oscillations typically associated with the higher order terms of the integrating polynomial. These oscillations in turn lead to non-physical solutions such as negative pressures and therefore need to be controlled. A variety of methods have been developed to mitigate the oscillatory behavior of discontinuous Galerkin methods when steep gradients are present, a very promising method is the addition of artificial viscosity in order to diminish the effects of the non-physical oscillations. Adding a viscous term to the conservation equations being solved can inevitably lead to inaccurate solutions if it is added in excessive amounts. The balance between damping of the non-physical oscillations and minimizing the amount of artificial viscosity added can if the location of the shocks in the flow field is known. This intricate balance is achieved by ensuring that the functions used to find the areas of concern are not overlapping shock regions with smooth regions and when viscosity is added it is important that it is limited to ensure that it will not completely dissipate the real solution.

Author : Z. J. Wang
Publisher : World Scientific
ISBN 13 : 9814313181
Total Pages : 471 pages
Book Rating : 4.86/5 ( download)

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Download or read book Adaptive High-order Methods in Computational Fluid Dynamics written by Z. J. Wang and published by World Scientific. This book was released on 2011 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods.

Author : Richard E. Meyer
Publisher : Academic Press
ISBN 13 : 1483264602
Total Pages : 356 pages
Book Rating : 4.08/5 ( download)

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Download or read book Transonic, Shock, and Multidimensional Flows written by Richard E. Meyer and published by Academic Press. This book was released on 2014-05-10 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows.

Author : Marcello Onofri
Publisher : Springer
ISBN 13 : 3319684272
Total Pages : 228 pages
Book Rating : 4.77/5 ( download)

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Download or read book Shock Fitting written by Marcello Onofri and published by Springer. This book was released on 2017-11-18 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the revolutionary capabilities of new shock fitting algorithms; a great improvement in computational fluid dynamics (CFD) for high-speed numerical simulations. Shock fitting methods provide a solution to the current difficulties and inaccuracies in shock-capturing approaches. This work traces the evolution of shock-fitting methods, from the pioneering methods based on the structured grids (boundary and floating shock-fitting) to recent developments on unstructured grids, illustrating algorithmic details, significant applications and potential developments. Also, to celebrate the centenary birth of the father of shock-fitting techniques, the book also includes a tribute to Gino Moretti, as well as his unpublished manuscript. This book will appeal to professionals, researchers, and graduate students in the field of CFD.

Author :
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.38/5 ( download)

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Download or read book High-resolution Shock-capturing Schemes for Inviscid and Viscous Hypersonic Flows written by and published by . This book was released on 1988 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John F. Wendt
Publisher : Springer Science & Business Media
ISBN 13 : 3662113503
Total Pages : 299 pages
Book Rating : 4.09/5 ( download)

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Download or read book Computational Fluid Dynamics written by John F. Wendt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of a von Kannan Institute Lecture Series by the same title first presented in 1985 and repeated with modifications in succeeding years. The objective, then and now, was to present the subject of computational fluid dynamics (CFD) to an audience unfamiliar with all but the most basic aspects of numerical techniques and to do so in such a way that the practical application ofCFD would become clear to everyone. Remarks from hundreds of persons who followed this course encouraged the editor and the authors to improve the content and organization year by year and eventually to produce the present volume. The book is divided into two parts. In the first part, John Anderson lays out the subject by first describing the governing equations offluid dynamics, concentration on their mathematical properties which contain the keys to the choice of the numerical approach. Methods of discretizing the equations are discussed next and then transformation techniques and grids are also discussed. This section closes with two examples of numerical methods which can be understood easily by all concerned: source and vortex panel methods and the explicit method. The second part of the book is devoted to four self-contained chapters on more advanced material: Roger Grundmann treats the boundary layer equations and methods of solution; Gerard Degrez treats implicit time-marching methods for inviscid and viscous compressible flows, and Eric Dick treats, in two separate articles, both finite-volume and finite-element methods.

Author :
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.38/5 ( download)

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Download or read book Explicit and Implicit Compact High-resolution Shock-capturing Methods for Multidimensional Euler Equations 1: Formulation written by and published by . This book was released on 1995 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John Wendt
Publisher : Springer Science & Business Media
ISBN 13 : 3540850554
Total Pages : 333 pages
Book Rating : 4.57/5 ( download)

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Download or read book Computational Fluid Dynamics written by John Wendt and published by Springer Science & Business Media. This book was released on 2008-11-04 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics: An Introduction grew out of a von Karman Institute (VKI) Lecture Series by the same title ?rst presented in 1985 and repeated with modi?cations every year since that time. The objective, then and now, was to present the subject of computational ?uid dynamics (CFD) to an audience unfamiliar with all but the most basic numerical techniques and to do so in such a way that the practical application of CFD would become clear to everyone. A second edition appeared in 1995 with updates to all the chapters and when that printing came to an end, the publisher requested that the editor and authors consider the preparation of a third edition. Happily, the authors received the request with enthusiasm. The third edition has the goal of presenting additional updates and clari?cations while preserving the introductory nature of the material. The book is divided into three parts. John Anderson lays out the subject in Part I by ?rst describing the governing equations of ?uid dynamics, concentrating on their mathematical properties which contain the keys to the choice of the numerical approach. Methods of discretizing the equations are discussed and transformation techniques and grids are presented. Two examples of numerical methods close out this part of the book: source and vortex panel methods and the explicit method. Part II is devoted to four self-contained chapters on more advanced material. Roger Grundmann treats the boundary layer equations and methods of solution.

Author :
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.05/5 ( download)

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Download or read book Semi-implicit and Fully Implicit Shock-capturing Methods for Hyperbolic Conservation Laws with Stiff Source Terms written by and published by . This book was released on 1986 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: