Discontinuous Galerkin For Hyperbolic Systems With Stiff Relaxation PDF Download
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Total Pages | : 5 |
Release | : 1999 |
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Download Discontinuous Galerkin for Hyperbolic Systems with Stiff Relaxation Book in PDF, ePub and Kindle
A Discontinuous Galerkin method is applied to hyperbolic systems that contain stiff relaxation terms. We demonstrate that when the relaxation time is unresolved, the method is accurate in the sense that it accurately represents the system's Chapman-Enskog approximation. Results are presented for the hyperbolic heat equation and coupled radiation-hydrodynamics.
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Total Pages | : 10 |
Release | : 1999 |
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Download Discontinuous Galerkin for Stiff Hyperbolic Systems Book in PDF, ePub and Kindle
A Discontinuous Galerkin (DG) method is applied to hyperbolic systems that contain stiff relaxation terms. We demonstrate that when the relaxation time is under-resolved, DG is accurate in the sense that the method accurately represents the system's Chapman-Enskog (or ''diffusion'') approximation. Moreover, we demonstrate that a high-resolution, finite-volume method using the same time-integration method as DG is very inaccurate in the diffusion limit. Results for DG are presented for the hyperbolic heat equation, the Broadwell model of gas kinetics, and coupled radiation-hydrodynamics.
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Release | : 2001 |
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Download METHOD OF HYPERBOLIC SYSTEMS WITH STIFF RELAXATION. Book in PDF, ePub and Kindle
Three methods are analyzed for solving a linear hyperbolic system that contains stiff relaxation. We show that the semi-discrete discontinuous Galerkin method, with a linear basis, is accurate when the relaxation time is unresolved (asymptotically preserving--AP). A recently developed central method is shown to be non-AP. To discriminate between AP and non-AP methods, we argue that one must study problems that are diffusion dominated.
Author | : Bernardo Cockburn |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642597211 |
Download Discontinuous Galerkin Methods Book in PDF, ePub and Kindle
A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
Author | : Remi Abgrall |
Publisher | : Elsevier |
Total Pages | : 668 |
Release | : 2016-11-17 |
Genre | : Mathematics |
ISBN | : 0444637958 |
Download Handbook of Numerical Methods for Hyperbolic Problems Book in PDF, ePub and Kindle
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications Written by leading subject experts in each field who provide breadth and depth of content coverage
Author | : H. L. Atkins |
Publisher | : |
Total Pages | : 40 |
Release | : 1996 |
Genre | : Boundary value problems |
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Download Quadrature-free Implementation of Discontinuous Galerkin Method for Hyperbolic Equations Book in PDF, ePub and Kindle
Author | : Jorge R. D. Calle |
Publisher | : |
Total Pages | : 28 |
Release | : 2002 |
Genre | : Conservation laws (Mathematics) |
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Download Implicit Discontinuous Galerkin Method for Hyperbolic Equations Book in PDF, ePub and Kindle
Author | : Clément Cancès |
Publisher | : Springer |
Total Pages | : 530 |
Release | : 2017-05-22 |
Genre | : Mathematics |
ISBN | : 3319573942 |
Download Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems Book in PDF, ePub and Kindle
This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete l evel. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is useful for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.
Author | : H. L. Atkins |
Publisher | : |
Total Pages | : 33 |
Release | : 1996 |
Genre | : |
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Download Quadrature-free Implementations of Discontinuous Galerkin Method for Hyperbolic Equations Book in PDF, ePub and Kindle
Author | : He Yang |
Publisher | : |
Total Pages | : 310 |
Release | : 2014 |
Genre | : |
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Download Analysis and Applications of Discontinuous Galerkin Methods for Hyperbolic Equations Book in PDF, ePub and Kindle