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A high-order discontinuous Galerkin method for unsteady compressible flows with immersed boundaries

2017-10-20 Technology & Engineering
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Release : 2017-10-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 351/5 ( reviews)

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Book Synopsis A high-order discontinuous Galerkin method for unsteady compressible flows with immersed boundaries by : Stephan Krämer-Eis

Download or read book A high-order discontinuous Galerkin method for unsteady compressible flows with immersed boundaries written by Stephan Krämer-Eis. This book was released on 2017-10-20. Available in PDF, EPUB and Kindle. Book excerpt: Um die komplexe Physik in kompressiblen Strömungen genauer zu verstehen, kommen vermehrt Simulationen zum Einsatz. Jedoch können weit verbreitete kommerzielle Softwarepakete die Physik aufgrund ihrer niedrigen Genauigkeit oft nicht korrekt erfassen. In dieser Arbeit wird eine diskontinuierliche Galerkin Methode mit hoher Ordnung entwickelt, welche eine hohe Genauigkeit erzielt. Dabei werden insbesondere zwei Probleme, die im Kontext von Verfahren mit hoher Ordnung auftreten, behandelt. Zum einen wird die Gittergenerierung durch das Verwenden einer Immersed Boundary Methode deutlich vereinfacht. Dies bedeutet, dass die Problemgeometrie aus einem deutlich einfacheren Hintergrundgitter herausgeschnitten wird. Die Geometrie wird mit Hilfe einer Level-Set Funktion dargestellt, und die Integration auf den entstehenden geschnittenen Zellen wird mittels einer hierarchischen Moment-Fitting Quadratur durchgeführt. Das Problem der sehr kleinen oder stark gekrümmten Zellen wird durch Zellagglomeration gelöst. Zum zweiten wird die starke Zeitschrittbeschränkung durch anisotrope Gitter mit Hilfe eines lokalen Zeitschrittverfahrens behoben. Diverse numerische Experimente bestätigen die hohe Genauigkeit, Effizienz und geometrische Flexibilität der vorgestellten Methode.

Discontinuous Galerkin Method

2015-07-17 Mathematics
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Release : 2015-07-17
Genre : Mathematics
Kind : eBook
Book Rating : 671/5 ( reviews)

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Book Synopsis Discontinuous Galerkin Method by : Vít Dolejší

Download or read book Discontinuous Galerkin Method written by Vít Dolejší. This book was released on 2015-07-17. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the book’s uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow.

A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows

2008 Fluid dynamics
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Release : 2008
Genre : Fluid dynamics
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Book Rating : /5 ( reviews)

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Book Synopsis A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows by : Andrew Brian Shelton

Download or read book A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows written by Andrew Brian Shelton. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: The issue of local scale and smoothness presents a crucial and daunting challenge for numerical simulation methods in fluid dynamics. Yet in the interests of both accuracy and economy, how can one devise a general technique that efficiently resolves flow features of consequence and discriminates against others which are either ``negligible' or amenable to ``universal' modeling? This is particularly difficult because geometries of engineering interest are complex and multi-dimensional, precluding a priori knowledge of the flowfield. To address this challenge, the current work employs wavelet theory for the local scale decomposition of functions, which provides a natural mechanism for the adaptive compression of data. The resulting technique is known as the Multi-Resolution Discontinuous Galerkin (MRDG) method.

A High Order Discontinuous Galerkin Method for 2D Incompressible Flows

1999 Energy conservation
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Release : 1999
Genre : Energy conservation
Kind : eBook
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Book Synopsis A High Order Discontinuous Galerkin Method for 2D Incompressible Flows by : Jian-Guo Liu

Download or read book A High Order Discontinuous Galerkin Method for 2D Incompressible Flows written by Jian-Guo Liu. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt:

A Discontinuous Galerkin Method for the Solution of Compressible Flows

2011
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Release : 2011
Genre :
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Book Synopsis A Discontinuous Galerkin Method for the Solution of Compressible Flows by : Cristian Biotto

Download or read book A Discontinuous Galerkin Method for the Solution of Compressible Flows written by Cristian Biotto. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

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