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Adaptive Mesh Refinement - Theory and Applications

2005-12-20 Mathematics
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Release : 2005-12-20
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)

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Book Synopsis Adaptive Mesh Refinement - Theory and Applications by : Tomasz Plewa

Download or read book Adaptive Mesh Refinement - Theory and Applications written by Tomasz Plewa. This book was released on 2005-12-20. Available in PDF, EPUB and Kindle. Book excerpt: Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application

2011
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Release : 2011
Genre :
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Book Synopsis Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application by :

Download or read book Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application written by . This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Structured adaptive mesh refinement (SAMR) techniques can enable cutting-edge simulations of problems governed by conservation laws. Focusing on the strictly hyperbolic case, these notes explain all algorithmic and mathematical details of a technically relevant implementation tailored for distributed memory computers. An overview of the background of commonly used finite volume discretizations for gas dynamics is included and typical benchmarks to quantify accuracy and performance of the dynamically adaptive code are discussed. Large-scale simulations of shock-induced realistic combustion in non-Cartesian geometry and shock-driven fluid-structure interaction with fully coupled dynamic boundary motion demonstrate the applicability of the discussed techniques for complex scenarios.

Special Issue on Adaptive Mesh Refinement Methods for CFD Applications

1996
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Release : 1996
Genre :
Kind : eBook
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Book Synopsis Special Issue on Adaptive Mesh Refinement Methods for CFD Applications by : Rupak Biswas

Download or read book Special Issue on Adaptive Mesh Refinement Methods for CFD Applications written by Rupak Biswas. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Structured Adaptive Mesh Refinement (SAMR) Grid Methods

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 529/5 ( reviews)

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Book Synopsis Structured Adaptive Mesh Refinement (SAMR) Grid Methods by : Scott B. Baden

Download or read book Structured Adaptive Mesh Refinement (SAMR) Grid Methods written by Scott B. Baden. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts reflecting two major issues in the topic: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.

Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics

2007 Science
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Release : 2007
Genre : Science
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Book Synopsis Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics by : Costas D. Sarris

Download or read book Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics written by Costas D. Sarris. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities); Optical power splitters, Y-junctions, and couplers; Optical ring resonators; Nonlinear optical waveguides.

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