Progress in Multi-dimensional Upwind Differencing

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Progress in Multi-dimensional Upwind Differencing by :

Download or read book Progress in Multi-dimensional Upwind Differencing written by and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Multi-dimensional Upwind Differencing

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Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Progress in Multi-dimensional Upwind Differencing by : Bram Van Leer

Download or read book Progress in Multi-dimensional Upwind Differencing written by Bram Van Leer and published by . This book was released on 1992 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.:/5 (3 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 1994 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration

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Publisher : Friedr Vieweg & Sohn Verlagsgesellschaft
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration by : Herman Deconinck

Download or read book Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration written by Herman Deconinck and published by Friedr Vieweg & Sohn Verlagsgesellschaft. This book was released on 1997 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Genuinely Multi-dimensional Upwinding Algorithm for the Navier-Stokes Equations on Unstructured Grids Using a Compact, Highly-parallelizable Spatial Discretization

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Genuinely Multi-dimensional Upwinding Algorithm for the Navier-Stokes Equations on Unstructured Grids Using a Compact, Highly-parallelizable Spatial Discretization by : George Timothy Tomaich

Download or read book A Genuinely Multi-dimensional Upwinding Algorithm for the Navier-Stokes Equations on Unstructured Grids Using a Compact, Highly-parallelizable Spatial Discretization written by George Timothy Tomaich and published by . This book was released on 1995 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Approximation of Hyperbolic Systems of Conservation Laws

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Publisher : Springer Nature
ISBN 13 : 1071613448
Total Pages : 846 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Numerical Approximation of Hyperbolic Systems of Conservation Laws by : Edwige Godlewski

Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Nature. This book was released on 2021-08-28 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.

Computational Fluid Mechanics and Heat Transfer

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Publisher : Taylor & Francis
ISBN 13 : 1466578300
Total Pages : 763 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Computational Fluid Mechanics and Heat Transfer by : Dale Anderson

Download or read book Computational Fluid Mechanics and Heat Transfer written by Dale Anderson and published by Taylor & Francis. This book was released on 2016-04-19 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly updated to include the latest developments in the field, this classic text on finite-difference and finite-volume computational methods maintains the fundamental concepts covered in the first edition. As an introductory text for advanced undergraduates and first-year graduate students, Computational Fluid Mechanics and Heat Transfer, Thi

Numerical Methods for Wave Propagation

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Publisher : Springer Science & Business Media
ISBN 13 : 9401591377
Total Pages : 392 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Numerical Methods for Wave Propagation by : E.F. Toro

Download or read book Numerical Methods for Wave Propagation written by E.F. Toro and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In May 1995 a meeting took place at the Manchester Metropolitan Uni versity, UK, with the title International Workshop on Numerical Methods for Wave Propagation Phenomena. The Workshop, which was attended by 60 scientists from 13 countries, was preceded by a short course enti tled High-Resolution Numerical Methods for Wave Propagation Phenom ena. The course participants could then join the Workshop and listen to discussions of the latest work in the field led by experts responsible for such developments. The present volume contains written versions of their contributions from the majority of the speakers at the Workshop. Professor Amiram Harten, but for his untimely death at the age of 50 years, would have been one of the speakers at the Workshop. His remarkable contributions to Numerical Analysis of Conservation Laws are commemo rated in this volume, which includes the text of the First Harten Memorial Lecture, delivered by Professor P. L. Roe from the University of Michigan in Ann Arbour, USA.

A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations

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Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations by : Institute for Computer Applications in Science and Engineering

Download or read book A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1994 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Riemann Solvers and Numerical Methods for Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540498346
Total Pages : 724 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Riemann Solvers and Numerical Methods for Fluid Dynamics by : Eleuterio F. Toro

Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by Eleuterio F. Toro and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. For its third edition the book has been thoroughly revised to contain new material.

Multi-dimensional Upwind Fluctuation Splitting Scheme with Mesh Adaption for Hypersonic Viscous Flow

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Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (485 download)

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Book Synopsis Multi-dimensional Upwind Fluctuation Splitting Scheme with Mesh Adaption for Hypersonic Viscous Flow by : William Alfred Wood

Download or read book Multi-dimensional Upwind Fluctuation Splitting Scheme with Mesh Adaption for Hypersonic Viscous Flow written by William Alfred Wood and published by . This book was released on 2001 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: A multi-dimensional upwind fluctuation splitting scheme is developed and implemented for two-dimensional and axisymmetric formulations of the Navier-Stokes equations on unstructured meshes. Key features of the scheme are the compact stencil, full upwinding, and non-linear discretization which allow for second-order accuracy with enforced positivity. Throughout, the fluctuation splitting scheme is compared to a current state-of-the-art finite volume approach, a second-order, dual mesh upwind flux difference splitting scheme (DMFDSFV), and is shown to produce more accurate results using fewer computer resources for a wide range of test cases. The scalar test cases include advected shear, circular advection, non-linear advection with coalescing shock and expansion fans, and advection-diffusion. For all scalar cases the fluctuation splitting scheme is more accurate, and the primary mechanism for the improved fluctuation splitting performance is shown to be the reduced production of artificial dissipation relative to DMFDSFV. The most significant scalar result is for combined advection-diffusion, where the present fluctuation splitting scheme is able to resolve the physical dissipation from the artificial dissipation on a much coarser mesh than DMFDSFV is able to, allowing order-of-magnitude reductions in solution time. Among the inviscid test cases the converging supersonic streams problem is notable in that the fluctuation splitting scheme exhibits superconvergent third-order spatial accuracy. For the inviscid cases of a supersonic diamond airfoil, supersonic slender cone, and incompressible circular bump the fluctuation splitting drag coefficient errors are typically half the DMFDSFV drag errors. However, for the incompressible inviscid sphere the fluctuation splitting drag error is larger than for DMFDSFV. A Blasius flat plate viscous validation case reveals a more accurate vertical-velocity profile for fluctuation splitting, and the reduced artificial dissipation production is shown relative to DMFDSFV. Remarkably the fluctuation splitting scheme shows grid converged skin friction coefficients with only five points in the boundary layer for this case. A viscous Mach 17.6 (perfect gas) cylinder case demonstrates solution monotonicity and heat transfer capability with the fluctuation splitting scheme.

Theoretical and Applied Aerodynamics

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Publisher : Springer
ISBN 13 : 9401798257
Total Pages : 625 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Theoretical and Applied Aerodynamics by : J. J. Chattot

Download or read book Theoretical and Applied Aerodynamics written by J. J. Chattot and published by Springer. This book was released on 2015-03-31 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers classical and modern aerodynamics, theories and related numerical methods, for senior and first-year graduate engineering students, including: -The classical potential (incompressible) flow theories for low speed aerodynamics of thin airfoils and high and low aspect ratio wings. - The linearized theories for compressible subsonic and supersonic aerodynamics. - The nonlinear transonic small disturbance potential flow theory, including supercritical wing sections, the extended transonic area rule with lift effect, transonic lifting line and swept or oblique wings to minimize wave drag. Unsteady flow is also briefly discussed. Numerical simulations based on relaxation mixed-finite difference methods are presented and explained. - Boundary layer theory for all Mach number regimes and viscous/inviscid interaction procedures used in practical aerodynamics calculations. There are also four chapters covering special topics, including wind turbines and propellers, airplane design, flow analogies and hypersonic (rotational) flows. A unique feature of the book is its ten self-tests and their solutions as well as an appendix on special techniques of functions of complex variables, method of characteristics and conservation laws and shock waves. The book is the culmination of two courses taught every year by the two authors for the last two decades to seniors and first-year graduate students of aerospace engineering at UC Davis.

Computational Fluid Dynamics Techniques

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Publisher : CRC Press
ISBN 13 : 9782884490320
Total Pages : 930 pages
Book Rating : 4.4/5 (93 download)

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Book Synopsis Computational Fluid Dynamics Techniques by : Fathi Habashi

Download or read book Computational Fluid Dynamics Techniques written by Fathi Habashi and published by CRC Press. This book was released on 1995-11-22 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.

Development of an Improved Multi-dimensional Upwind Scheme for Euler/Navier-Stokes Computations

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Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis Development of an Improved Multi-dimensional Upwind Scheme for Euler/Navier-Stokes Computations by : Weicheng Huang

Download or read book Development of an Improved Multi-dimensional Upwind Scheme for Euler/Navier-Stokes Computations written by Weicheng Huang and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern upwind schemes employ an upwind-biased stencil to solve convective terms in order to satisfy the domain of dependence of the hyperbolic system. They demonstrate a superior capability of capturing flow discontinuities in one-dimensional computations. However, in multi-dimensional computations, the high resolution of upwind schemes might be lost, due to the direct extension of one-dimensional analogy, which is not compatible with flow physics under such circumstances. The primary goal of present research is to improve the solution accuracy of conventional upwind schemes for multi-dimensional calculations. The way the upwind schemes are applied to the multi-dimensional computations is responsible for the degrading of the solution resolution. That being said, most of the conventional upwind schemes are applied in a direction-split manner; specifically speaking, a one-dimensional solver is applied to each spatial dimension separately. This method not only ignores the interaction between different coordinate directions but also applies the upwind stencil to the grid-aligned direction, which violates the multi-dimensional physics when discontinuities are not aligned with the grid. This problem can be resolved by employing a more physically meaningful multi-dimensional upwind solver. The present research employs a true multi-dimensional wave model to the flux-difference-splitting scheme. In addition, a multi-dimensional reconstruction is developed to formulate the left and right states of the cell face. These reconstructed states are then used to calculate various waves propagating along the dominant upwind direction. The current approach is applied to the two-dimensional Euler calculations as well as to the Navier-Stokes computations. Results of the present study indicate that this approach is highly promising in respect to improve solution accuracy. Specifically, through the application of the current method, the resolution of shocks is improved over the first-order grid-aligned scheme, especially when the discontinuities are oblique to the grid. Moreover, the odd-even decoupling phenomena, such as those in the results of the Navier-Stokes computation of the transonic airfoil flow, are eliminated. In addition, the three-dimensional results demonstrate that although twice as many grids are used, the first-order grid-aligned scheme can not provide the same resolution as the present method. However, since nonlinear feedback of the multi-dimensional wave model degrades the convergence, additional research must be conducted to control the nonlinear feedback of the wave model in order to accelerate the convergence. Furthermore, due to its oscillatory nature, multi-dimensional limiters are required for the development of the high order multi-dimensional wave model.

Advances In Numerical Heat Transfer

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Publisher : CRC Press
ISBN 13 : 9781560324416
Total Pages : 456 pages
Book Rating : 4.3/5 (244 download)

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Book Synopsis Advances In Numerical Heat Transfer by : W. Minkowycz

Download or read book Advances In Numerical Heat Transfer written by W. Minkowycz and published by CRC Press. This book was released on 1996-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume in the series. It analyzes several fundamental methodology issues in numerical heat transfer and fluid flow and identifies certain areas of active application. The finite-volume approach is presented with the finite-element methods as well as with energy balance analysis. Applications include the latest development in turbulence modeling and current approaches to inverse problems.

Advances in Multiphase Flow and Heat Transfer

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Publisher : Bentham Science Publishers
ISBN 13 : 1608052281
Total Pages : 348 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Advances in Multiphase Flow and Heat Transfer by : Lixin Cheng

Download or read book Advances in Multiphase Flow and Heat Transfer written by Lixin Cheng and published by Bentham Science Publishers. This book was released on 2012-04-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Multiphase flow and heat transfer have found a wide range of applications in several engineering and science fields such as mechanical engineering, chemical and petrochemical engineering, nuclear engineering, energy engineering, material engineering, ocea"

Recent Advances in Numerical Methods for Hyperbolic PDE Systems

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Publisher : Springer Nature
ISBN 13 : 3030728501
Total Pages : 269 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Recent Advances in Numerical Methods for Hyperbolic PDE Systems by : María Luz Muñoz-Ruiz

Download or read book Recent Advances in Numerical Methods for Hyperbolic PDE Systems written by María Luz Muñoz-Ruiz and published by Springer Nature. This book was released on 2021-05-25 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.