Adaptive Mesh Refinement Theory And Applications

Author : Tomasz Plewa
Publisher : Springer Science & Business Media
ISBN 13 : 3540270396
Total Pages : 550 pages
Book Rating : 4.93/5 ( download)

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Download or read book Adaptive Mesh Refinement - Theory and Applications written by Tomasz Plewa and published by Springer Science & Business Media. This book was released on 2005-12-20 with total page 550 pages. 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.

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.32/5 ( download)

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Download or read book Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application written by and published by . This book was released on 2011 with total page pages. 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.

Author : E. Oñate
Publisher : Springer
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.92/5 ( download)

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Download or read book The Finite Element Method in the 1990's written by E. Oñate and published by Springer. This book was released on 1991 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Scott B. Baden
Publisher : Springer Science & Business Media
ISBN 13 : 1461212529
Total Pages : 187 pages
Book Rating : 4.22/5 ( download)

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Download or read book Structured Adaptive Mesh Refinement (SAMR) Grid Methods written by Scott B. Baden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. 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.

Author : Rupak Biswas
Publisher :
ISBN 13 :
Total Pages : 2 pages
Book Rating : 4.21/5 ( download)

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Download or read book Special Issue on Adaptive Mesh Refinement Methods for CFD Applications written by Rupak Biswas and published by . This book was released on 1996 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Costas D. Sarris
Publisher : Morgan & Claypool
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.23/5 ( download)

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Download or read book Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics written by Costas D. Sarris and published by Morgan & Claypool. This book was released on 2007 with total page 162 pages. 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.

Author : G.R. Liu
Publisher : Springer Science & Business Media
ISBN 13 : 1402039530
Total Pages : 954 pages
Book Rating : 4.39/5 ( download)

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Download or read book Computational Methods written by G.R. Liu and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First International Conference on Computational Methods (ICCM04), organized by the department of Mechanical Engineering, National University of Singapore, was held in Singapore, December 15-17, 2004, with great success. This conference proceedings contains some 290 papers from more than 30 countries/regions. The papers cover a broad range of topics such as meshfree particle methods, Generalized FE and Extended FE methods, inverse analysis and optimization methods. Computational methods for geomechanics, machine learning, vibration, shock, impact, health monitoring, material modeling, fracture and damage mechanics, multi-physics and multi-scales simulation, sports and environments are also included. All the papers are pre-reviewed before they are accepted for publication in this proceedings. The proceedings will provide an informative, timely and invaluable resource for engineers and scientists working in the important areas of computational methods.

Author : Mats G. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 3642332870
Total Pages : 403 pages
Book Rating : 4.76/5 ( download)

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Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​

Author : Ivo Babuska
Publisher : Springer Science & Business Media
ISBN 13 : 1461242487
Total Pages : 487 pages
Book Rating : 4.82/5 ( download)

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Download or read book Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations written by Ivo Babuska and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Author : Ralf Deiterding
Publisher : Springer Nature
ISBN 13 : 3030617610
Total Pages : 144 pages
Book Rating : 4.15/5 ( download)

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Download or read book Cartesian CFD Methods for Complex Applications written by Ralf Deiterding and published by Springer Nature. This book was released on 2021-04-03 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the most important contributions from four minisymposia from ICIAM 2019. The papers highlight cutting-edge applications of Cartesian CFD methods and describe the employed algorithms and numerical schemes. An emphasis is laid on complex multi-physics applications like magnetohydrodynamics, combustion, aerodynamics with fluid-structure interaction, solved with various discretizations, e.g. finite difference, finite volume, multiresolution or lattice Boltzmann CFD schemes. Software design aspects and parallelization challenges are also considered. The book is addressed to graduate students and scientists in the fields of applied mathematics and computational engineering.