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A Genuinely Multidimensional Upwind Scheme And Efficient Multigrid Solver For The Compressible Euler Equations
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Author :National Aeronautics and Space Adm Nasa Publisher :Independently Published ISBN 13 :9781729052211 Total Pages :36 pages Book Rating :4.0/5 (522 download)
Book Synopsis A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations by : National Aeronautics and Space Adm Nasa
Download or read book A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-21 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new approach towards the construction of a genuinely multidimensional high-resolution scheme for computing steady-state solutions of the Euler equations of gas dynamics. The unique advantage of this approach is that the Gauss-Seidel relaxation is stable when applied directly to the high-resolution discrete equations, thus allowing us to construct a very efficient and simple multigrid steady-state solver. This is the only high-resolution scheme known to us that has this property. The two-dimensional scheme is presented in detail. It is formulated on triangular (structured and unstructured) meshes and can be interpreted as a genuinely two-dimensional extension of the Roe scheme. The quality of the solutions obtained using this scheme and the performance of the multigrid algorithm are illustrated by the numerical experiments. Construction of the three dimensional scheme is outlined briefly as well. Sidilkover, David Unspecified Center NAS1-19480...
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:
Book Synopsis A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Sovler for the Compressible Euler Equations by : David Sidilkover
Download or read book A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Sovler for the Compressible Euler Equations written by David Sidilkover and published by . This book was released on 1994 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations by :
Download or read book Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations written by and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some important advances took place during the last several years in the development of genuinely multidimensional upwind schemes for the compressible Euler equations. In particular, a robust, high-resolution genuinely multidimensional scheme which can be used for any of the flow regimes computations was constructed. This paper summarizes briefly these developments and outlines the fundamental advantages of this approach.
Book Synopsis Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations by : D. Sidilkover
Download or read book Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations written by D. Sidilkover and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
Book Synopsis Multigrid Methods by : Ulrich Trottenberg
Download or read book Multigrid Methods written by Ulrich Trottenberg and published by Academic Press. This book was released on 2001 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
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:
Book Synopsis Comments on the Diffusive Behavior of Two Upwind Schemes by : William A. Wood
Download or read book Comments on the Diffusive Behavior of Two Upwind Schemes written by William A. Wood and published by . This book was released on 1998 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Factorizable Schemes for the Equations of Fluid Flow by : David Sidilkover
Download or read book Factorizable Schemes for the Equations of Fluid Flow written by David Sidilkover and published by . This book was released on 1999 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Book Synopsis Innovative Methods for Numerical Solutions of Partial Differential Equations by : P. L. Roe
Download or read book Innovative Methods for Numerical Solutions of Partial Differential Equations written by P. L. Roe and published by World Scientific. This book was released on 2002 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of 20 review articles dedicated to Prof. Philip Roe on the occasion of his 60th birthday and in appreciation of his original contributions to computational fluid dynamics. The articles, written by leading researchers in the field, cover many topics, including theory and applications, algorithm developments and modern computational techniques for industry. Contents: OC A One-Sided ViewOCO: The Real Story (B van Leer); Collocated Upwind Schemes for Ideal MHD (K G Powell); The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting (R P Fedkiw et al.); A Finite Element Based Level-Set Method for Multiphase Flows (B Engquist & A-K Tornberg); The GHOST Fluid Method for Viscous Flows (R P Fedkiw & X-D Liu); Factorizable Schemes for the Equations of Fluid Flow (D Sidilkover); Evolution Galerkin Methods as Finite Difference Schemes (K W Morton); Fluctuation Distribution Schemes on Adjustable Meshes for Scalar Hyperbolic Equations (M J Baines); Superconvergent Lift Estimates Through Adjoint Error Analysis (M B Giles & N A Pierce); Somewhere between the LaxOCoWendroff and Roe Schemes for Calculating Multidimensional Compressible Flows (A Lerat et al.); Flux Schemes for Solving Nonlinear Systems of Conservation Laws (J M Ghidaglia); A LaxOCoWendroff Type Theorem for Residual Schemes (R Abgrall et al.); Kinetic Schemes for Solving SaintOCoVenant Equations on Unstructured Grids (M O Bristeau & B Perthame); Nonlinear Projection Methods for Multi-Entropies NavierOCoStokes Systems (C Berthon & F Coquel); A Hybrid Fluctuation Splitting Scheme for Two-Dimensional Compressible Steady Flows (P De Palma et al.); Some Recent Developments in Kinetic Schemes Based on Least Squares and Entropy Variables (S M Deshpande); Difference Approximation for Scalar Conservation Law. Consistency with Entropy Condition from the Viewpoint of Oleinik's E-Condition (H Aiso); Lessons Learned from the Blast Wave Computation Using Overset Moving Grids: Grid Motion Improves the Resolution (K Fujii). Readership: Researchers and graduate students in numerical and computational mathematics in engineering."
Book Synopsis Seventh Copper Mountain Conference on Multigrid Methods by : N. Duane Melson
Download or read book Seventh Copper Mountain Conference on Multigrid Methods written by N. Duane Melson and published by . This book was released on 1996 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Framework for Achieving Textbook Multigrid Efficiency by :
Download or read book General Framework for Achieving Textbook Multigrid Efficiency written by and published by . This book was released on 2000 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general multigrid framework is discussed for obtaining textbook efficiency to solutions of the compressible Euler and Navier-Stokes equations in conservation law form. The general methodology relies on a distributed relaxation procedure to reduce errors in regular (smoothly varying) flow regions; separate and distinct treatments for each of the factors (elliptic and/or hyperbolic) are used to attain optimal reductions of errors. Near boundaries and discontinuities (shocks) additional local relaxations of the conservative equations are necessary. Example calculations are made for the quasi-one-dimensional Euler equations; the calculations illustrate the general procedure.
Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications - Proceedings Of The Fifth International Conference by : James Glimm
Download or read book Hyperbolic Problems: Theory, Numerics, Applications - Proceedings Of The Fifth International Conference written by James Glimm and published by World Scientific. This book was released on 1996-03-14 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intellectual center of this proceedings volume is the subject of conservation laws. Conservation laws are the most basic model of many continuum processes, and for this reason they govern the motion of fluids, solids, and plasma. They are basic to the understanding of more complex modeling issues, such as multiphase flow, chemically reacting flow, and non-equilibrium thermodynamics. Equations of this type also arise in novel and unexpected areas, such as the pattern recognition and image processing problem of edge enhancement and detection. The articles in this volume address the entire range of the study of conservation laws, including the fundamental mathematical theory, familiar and novel applications, and the numerical problem of finding effective computational algorithms for the solution of these problems.
Book Synopsis Barriers and Challenges in Computational Fluid Dynamics by : V. Venkatakrishnan
Download or read book Barriers and Challenges in Computational Fluid Dynamics written by V. Venkatakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, designed for engineers and scientists working in the area of Computational Fluid Dynamics (CFD), experts offer assessments of the capabilities of CFD, highlight some fundamental issues and barriers, and propose novel approaches to overcome these problems. They also offer new avenues for research in traditional and non-traditional disciplines. The scope of the papers ranges from the scholarly to the practical. This book is distinguished from earlier surveys by its emphasis on the problems facing CFD and by its focus on non-traditional applications of CFD techniques. There have been several significant developments in CFD since the last workshop held in 1990 and this book brings together the key developments in a single unified volume.
