A High Order Finite Difference Scheme With Sharp Shock Resolution For The Euler Equations

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A High Order Finite Difference Scheme with Sharp Shock Resolution for the Euler Equations

Author : Margot Gerritsen
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A High Order Finite Difference Scheme with Sharp Shock Resolution for the Euler Equations by : Margot Gerritsen

Download or read book A High Order Finite Difference Scheme with Sharp Shock Resolution for the Euler Equations written by Margot Gerritsen and published by . This book was released on 1996 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We derive a high-order finite difference scheme for the Euler equations that satisfies a semi-discrete energy estimate, and present an efficient strategy for the treatment of discontinuities that leads to sharp shock resolution. The formulation of the semi-discrete energy estimate is based on a symmetrization of the Euler equations that preserves the homogeneity of the flux vector, a canonical splitting of the flux derivative vector, and the use of difference operators that satisfy a discrete analogue to the integration by parts procedure used in the continuous energy estimate. Around discontinuities or sharp gradients, refined grids are created on which the discrete equations are solved after adding a newly constructed artificial viscosity. The positioning of the sub-grids and computation of the viscosity are aided by a detection algorithm which is based on a multi-scale wavelet analysis of the pressure grid function. The wavelet theory provides easy to implement mathematical criteria to detect discontinuities, sharp gradients and spurious oscillations quickly and efficiently."

A High Order Finite Difference Scheme with Sharp Shock Resolution for the Euler Equations

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722003098
Total Pages : 34 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis A High Order Finite Difference Scheme with Sharp Shock Resolution for the Euler Equations by : National Aeronautics and Space Administration (NASA)

Download or read book A High Order Finite Difference Scheme with Sharp Shock Resolution for the Euler Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-28 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive a high-order finite difference scheme for the Euler equations that satisfies a semi-discrete energy estimate, and present an efficient strategy for the treatment of discontinuities that leads to sharp shock resolution. The formulation of the semi-discrete energy estimate is based on a symmetrization of the Euler equations that preserves the homogeneity of the flux vector, a canonical splitting of the flux derivative vector, and the use of difference operators that satisfy a discrete analogue to the integration by parts procedure used in the continuous energy estimate. Around discontinuities or sharp gradients, refined grids are created on which the discrete equations are solved after adding a newly constructed artificial viscosity. The positioning of the sub-grids and computation of the viscosity are aided by a detection algorithm which is based on a multi-scale wavelet analysis of the pressure grid function. The wavelet theory provides easy to implement mathematical criteria to detect discontinuities, sharp gradients and spurious oscillations quickly and efficiently. Gerritsen, Margot and Olsson, Pelle Ames Research Center NAS2-13721; NSF ASC-93-18166...

Godunov Methods

Author : E.F. Toro
Publisher : Springer Science & Business Media
ISBN 13 : 1461506638
Total Pages : 1050 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Godunov Methods by : E.F. Toro

Download or read book Godunov Methods written by E.F. Toro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

Author : Spencer J. Sherwin
Publisher : Springer Nature
ISBN 13 : 3030396479
Total Pages : 658 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 by : Spencer J. Sherwin

Download or read book Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 written by Spencer J. Sherwin and published by Springer Nature. This book was released on 2020-08-11 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1

Author : Jens M. Melenk
Publisher : Springer Nature
ISBN 13 : 3031204328
Total Pages : 571 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 by : Jens M. Melenk

Download or read book Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 written by Jens M. Melenk and published by Springer Nature. This book was released on 2023-06-30 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order discretizations of partial differential equations. The volume presents a wide range of topics including the design and analysis of high order methods, the development of fast solvers on modern computer architecture, and the application of these methods in fluid and structural mechanics computations.

High Order Large Eddy Simulation for Shock-Boundary Layer Interaction Control by a Micro-ramp Vortex Generator

Author : Chaoqun Liu
Publisher : Bentham Science Publishers
ISBN 13 : 1681085976
Total Pages : 321 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis High Order Large Eddy Simulation for Shock-Boundary Layer Interaction Control by a Micro-ramp Vortex Generator by : Chaoqun Liu

Download or read book High Order Large Eddy Simulation for Shock-Boundary Layer Interaction Control by a Micro-ramp Vortex Generator written by Chaoqun Liu and published by Bentham Science Publishers. This book was released on 2017-12-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an implicitly implemented large eddy simulation (ILES) by using the fifth order bandwidth-optimized WENO scheme. The chosen method is applied to make comprehensive studies on ramp flows with and without control at Mach 2.5 and Re=5760. Flow control in the form of microramp vortex generators (MVG) is applied. The results show that a MVG can distinctly reduce the separation zone at the ramp corner and lower the boundary layer shape factor under simulated conditions. A series of new findings about the MVG-ramp flow are obtained, including structures relevant to surface pressure, three-dimensional structures of the re-compression shock waves, a complete surface separation pattern, momentum deficit and a new secondary vortex system. A new mechanism of shock-boundary layer interaction control by MVG associated with a series of vortex rings is also presented. Vortex rings strongly interact with air flow and play an important role in the separation zone reduction. Additionally, readers will learn about the governing equation, boundary condition, high quality grid generation, high order shock capturing scheme and DNS inflow condition in detail. This volume will, therefore, serve as a useful reference for aerospace researchers using LES methods to study shock boundary layer interaction and supersonic flow control.

Frontiers of Computational Fluid Dynamics 2002

Author : Robert William MacCormack
Publisher : World Scientific
ISBN 13 : 9789812810793
Total Pages : 528 pages
Book Rating : 4.8/5 (17 download)

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Book Synopsis Frontiers of Computational Fluid Dynamics 2002 by : Robert William MacCormack

Download or read book Frontiers of Computational Fluid Dynamics 2002 written by Robert William MacCormack and published by World Scientific. This book was released on 2002 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of volumes on the OC Frontiers of Computational Fluid DynamicsOCO was introduced to honor contributors who have made a major impact on the field. The first volume was published in 1994 and was dedicated to Prof Antony Jameson; the second was published in 1998 and was dedicated to Prof Earl Murman. The volume is dedicated to Prof Robert MacCormack. The twenty-six chapters in the current volume have been written by leading researchers from academia, government laboratories, and industry. They present up-to-date descriptions of recent developments in techniques for numerical analysis of fluid flow problems, and applications of these techniques to important problems in industry, as well as the classic paper that introduced the OC MacCormack schemeOCO to the world. Contents: The Effect of Viscosity in Hypervelocity Impact Cratering (R W MacCormack); The MacCormack Method OCo Historical Perspective (C M Hung et al.); Numerical Solutions of Cauchy-Riemann Equations for Two and Three Dimensional Flows (M M Hafez & J Houseman); Extension of Efficient Low Dissipation High Order Schemes for 3-D Curvilinear Moving Grids (M Vinokur & H C Yee); Scalable Parallel Implicit Multigrid Solution of Unsteady Incompressible Flows (R Pankajakshan et al.); Lattice Boltzmann Simulation of Incompressible Flows (N Satofuka & M Ishikura); Numerical Simulation of MHD Effects on Hypersonic Flow of a Weakly Ionized Gas in an Inlet (R K Agarwal & P Deb); Development of 3D DRAGON Grid Method for Complex Geometry (M-S Liou & Y Zheng); Advances in Algorithms for Computing Aerodynamic Flows (D W Zingg et al.); Selected CFD Capabilities at DLR (W Kordulla); CFD Applications to Space Transportation Systems (K Fujii); Information Science OCo A New Frontier of CFD (K Oshima & Y Oshima); Integration of CFD into Aerodynamics Education (E M Murman & A Rizzi); and other papers. Readership: Researchers and graduate students in numerical and computational mathematics."

Computational Fluid Dynamics for the 21st Century

Author : Mohamed Hafez
Publisher : Springer Science & Business Media
ISBN 13 : 3540449590
Total Pages : 412 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Fluid Dynamics for the 21st Century by : Mohamed Hafez

Download or read book Computational Fluid Dynamics for the 21st Century written by Mohamed Hafez and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains new trends of computational fluid dynamics for the 21st century and consists of papers especially useful to the younger generation of scientists and engineers in this field. Topics include cartesian, gridless and higher-order schemes, and flow-visualization techniques.

Computational Fluid Dynamics 2000

Author : Nobuyuki Satofuka
Publisher : Springer Science & Business Media
ISBN 13 : 3642565352
Total Pages : 807 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computational Fluid Dynamics 2000 by : Nobuyuki Satofuka

Download or read book Computational Fluid Dynamics 2000 written by Nobuyuki Satofuka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain a selection of refereed contributions as a source of reference for all those interested in the state of the art in computational fluid dynamics. The conference brings together physicists, mathematicians and engineers to review and share recent advances in the field.

The P1-RKDG Method for Two-dimensional Euler Equations of Gas Dynamics

Author : Bernardo Cockburn
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis The P1-RKDG Method for Two-dimensional Euler Equations of Gas Dynamics by : Bernardo Cockburn

Download or read book The P1-RKDG Method for Two-dimensional Euler Equations of Gas Dynamics written by Bernardo Cockburn and published by . This book was released on 1991 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Direct and Large-Eddy Simulation IV

Author : Bernard Geurts
Publisher : Springer Science & Business Media
ISBN 13 : 9401712638
Total Pages : 543 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Direct and Large-Eddy Simulation IV by : Bernard Geurts

Download or read book Direct and Large-Eddy Simulation IV written by Bernard Geurts and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2001 DLES4 workshop. It describes and discusses state-of-the-art modeling and simulation approaches for complex flows. Fundamental turbulence and modeling issues but also elements from modern numerical analysis are at the heart of this field of interest.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annual Research Briefs ...

Author : Center for Turbulence Research (U.S.)
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.:/5 (56 download)

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Book Synopsis Annual Research Briefs ... by : Center for Turbulence Research (U.S.)

Download or read book Annual Research Briefs ... written by Center for Turbulence Research (U.S.) and published by . This book was released on 2010 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

31st International Symposium on Shock Waves 1

Author : Akihiro Sasoh
Publisher : Springer
ISBN 13 : 3319910205
Total Pages : 1188 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis 31st International Symposium on Shock Waves 1 by : Akihiro Sasoh

Download or read book 31st International Symposium on Shock Waves 1 written by Akihiro Sasoh and published by Springer. This book was released on 2019-03-21 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two volume set which presents the results of the 31st International Symposium on Shock Waves (ISSW31), held in Nagoya, Japan in 2017. It was organized with support from the International Shock Wave Institute (ISWI), Shock Wave Research Society of Japan, School of Engineering of Nagoya University, and other societies, organizations, governments and industry. The ISSW31 focused on the following areas: Blast waves, chemical reacting flows, chemical kinetics, detonation and combustion, ignition, facilities, diagnostics, flow visualization, spectroscopy, numerical methods, shock waves in rarefied flows, shock waves in dense gases, shock waves in liquids, shock waves in solids, impact and compaction, supersonic jet, multiphase flow, plasmas, magnetohyrdrodynamics, propulsion, shock waves in internal flows, pseudo-shock wave and shock train, nozzle flow, re-entry gasdynamics, shock waves in space, Richtmyer-Meshkov instability, shock/boundary layer interaction, shock/vortex interaction, shock wave reflection/interaction, shock wave interaction with dusty media, shock wave interaction with granular media, shock wave interaction with porous media, shock wave interaction with obstacles, supersonic and hypersonic flows, sonic boom, shock wave focusing, safety against shock loading, shock waves for material processing, shock-like phenomena, and shock wave education. These proceedings contain the papers presented at the symposium and serve as a reference for the participants of the ISSW 31 and individuals interested in these fields.

Computational Fluid and Solid Mechanics 2003

Author : K.J Bathe
Publisher : Elsevier
ISBN 13 : 008052947X
Total Pages : 2485 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Fluid and Solid Mechanics 2003 by : K.J Bathe

Download or read book Computational Fluid and Solid Mechanics 2003 written by K.J Bathe and published by Elsevier. This book was released on 2003-06-02 with total page 2485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Development of Upwind Schemes for the Euler Equations

Author : Sukumar Raman Chakravarthy
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Development of Upwind Schemes for the Euler Equations by : Sukumar Raman Chakravarthy

Download or read book Development of Upwind Schemes for the Euler Equations written by Sukumar Raman Chakravarthy and published by . This book was released on 1987 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Upwind and High-Resolution Schemes

Author : M.Yousuff Hussaini
Publisher : Springer Science & Business Media
ISBN 13 : 3642605435
Total Pages : 587 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Upwind and High-Resolution Schemes by : M.Yousuff Hussaini

Download or read book Upwind and High-Resolution Schemes written by M.Yousuff Hussaini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.