On the Efficiency of Implicit Discontinuous Galerkin Spectral Element Methods for the Unsteady Compressible Navier-Stokes Equations
Author: Serena Vangelatos
Publisher:
Published: 2020
Total Pages:
ISBN-13: 9783843943062
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Author: Serena Vangelatos
Publisher:
Published: 2020
Total Pages:
ISBN-13: 9783843943062
DOWNLOAD EBOOKAuthor: Martin Kronbichler
Publisher: Springer Nature
Published: 2021-01-04
Total Pages: 314
ISBN-13: 3030606104
DOWNLOAD EBOOKThe book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
Author: Gregor Gassner
Publisher:
Published: 2009
Total Pages: 113
ISBN-13: 9783868530117
DOWNLOAD EBOOKAuthor: Xiao-Chuan Cai
Publisher:
Published: 1996
Total Pages: 28
ISBN-13:
DOWNLOAD EBOOKAuthor: Wolfgang E. Nagel
Publisher: Springer Nature
Published: 2022-01-01
Total Pages: 577
ISBN-13: 3030806022
DOWNLOAD EBOOKThis book presents the state-of-the-art in supercomputer simulation. It includes the latest findings from leading researchers using systems from the High Performance Computing Center Stuttgart (HLRS) in 2020. The reports cover all fields of computational science and engineering ranging from CFD to computational physics and from chemistry to computer science with a special emphasis on industrially relevant applications. Presenting findings of one of Europe’s leading systems, this volume covers a wide variety of applications that deliver a high level of sustained performance. The book covers the main methods in high-performance computing. Its outstanding results in achieving the best performance for production codes are of particular interest for both scientists and engineers. The book comes with a wealth of color illustrations and tables of results.
Author: Jens M. Melenk
Publisher: Springer Nature
Published: 2023-06-30
Total Pages: 571
ISBN-13: 3031204328
DOWNLOAD EBOOKThe 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.
Author: Hans-Joachim Bungartz
Publisher: Springer
Published: 2018-11-03
Total Pages: 259
ISBN-13: 3319996541
DOWNLOAD EBOOKThis book presents the latest findings and ongoing research in the field of environmental informatics. It addresses a wide range of cross-cutting activities, such as efficient computing, virtual reality, disruption management, big data, open science and the internet of things, and showcases how these green information & communication technologies (ICT) can be used to effectively address environmental and societal challenges. Presenting a selection of extended contributions to the 32nd edition of the International Conference EnviroInfo 2018, at the Leibniz Supercomputing Centre in Garching near Munich, it is essential reading for anyone looking to expand their expertise in the area.
Author:
Publisher:
Published: 1999
Total Pages: 1048
ISBN-13:
DOWNLOAD EBOOKAuthor: Rainer Ansorge
Publisher: Springer Science & Business Media
Published: 2012-09-14
Total Pages: 325
ISBN-13: 3642332218
DOWNLOAD EBOOKIn January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
Author:
Publisher:
Published: 2010
Total Pages:
ISBN-13:
DOWNLOAD EBOOKA reconstruction-based discontinuous Galerkin (RDG) method is presented for the solution of the compressible Navier-Stokes equations on arbitrary grids. The RDG method, originally developed for the compressible Euler equations, is extended to discretize viscous and heat fluxes in the Navier-Stokes equations using a so-called inter-cell reconstruction, where a smooth solution is locally reconstructed using a least-squares method from the underlying discontinuous DG solution. Similar to the recovery-based DG (rDG) methods, this reconstructed DG method eliminates the introduction of ad hoc penalty or coupling terms commonly found in traditional DG methods. Unlike rDG methods, this RDG method does not need to judiciously choose a proper form of a recovered polynomial, thus is simple, flexible, and robust, and can be used on arbitrary grids. The developed RDG method is used to compute a variety of flow problems on arbitrary meshes to demonstrate its accuracy, efficiency, robustness, and versatility. The numerical results indicate that this RDG method is able to deliver the same accuracy as the well-known Bassi-Rebay II scheme, at a half of its computing costs for the discretization of the viscous fluxes in the Navier-Stokes equations, clearly demonstrating its superior performance over the existing DG methods for solving the compressible Navier-Stokes equations.