Adaptive Mesh Refinement - Theory and Applications

Adaptive Mesh Refinement - Theory and Applications PDF Author: Tomasz Plewa
Publisher: Springer Science & Business Media
ISBN: 3540270396
Category : Mathematics
Languages : en
Pages : 550

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Book Description
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.

Adaptive Mesh Refinement - Theory and Applications

Adaptive Mesh Refinement - Theory and Applications PDF Author: Tomasz Plewa
Publisher: Springer Science & Business Media
ISBN: 3540270396
Category : Mathematics
Languages : en
Pages : 550

Get Book

Book Description
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.

The Finite Element Method in the 1990's

The Finite Element Method in the 1990's PDF Author: E. Oñate
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 650

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Book Description


Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics

Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics PDF Author: Costas D. Sarris
Publisher: Morgan & Claypool
ISBN:
Category : Science
Languages : en
Pages : 162

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Book Description
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.

Structured Adaptive Mesh Refinement (SAMR) Grid Methods

Structured Adaptive Mesh Refinement (SAMR) Grid Methods PDF Author: Scott B. Baden
Publisher: Springer Science & Business Media
ISBN: 1461212529
Category : Mathematics
Languages : en
Pages : 187

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Book Description
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.

Cartesian CFD Methods for Complex Applications

Cartesian CFD Methods for Complex Applications PDF Author: Ralf Deiterding
Publisher: Springer Nature
ISBN: 3030617610
Category : Mathematics
Languages : en
Pages : 144

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Book Description
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.

Local Mesh Refinement in COM3D for Combustion Simulation

Local Mesh Refinement in COM3D for Combustion Simulation PDF Author: Ren, Ke
Publisher: KIT Scientific Publishing
ISBN: 3731502259
Category :
Languages : en
Pages : 196

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Book Description


Computational Methods

Computational Methods PDF Author: G.R. Liu
Publisher: Springer Science & Business Media
ISBN: 1402039530
Category : Technology & Engineering
Languages : en
Pages : 925

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Book Description
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.

Parallel Computational Fluid Dynamics

Parallel Computational Fluid Dynamics PDF Author: Rupak Biswas
Publisher: DEStech Publications, Inc
ISBN: 160595022X
Category : Computers
Languages : en
Pages : 703

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Book Description


OpenMP Shared Memory Parallel Programming

OpenMP Shared Memory Parallel Programming PDF Author: Matthias S. Müller
Publisher: Springer
ISBN: 3540685553
Category : Computers
Languages : en
Pages : 446

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Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the First and the Second International Workshop on OpenMP, IWOMP 2005 and IWOMP 2006, held in Eugene, OR, USA, and in Reims, France, in June 2005 and 2006 respectively. The first part of the book presents 16 revised full papers carefully reviewed and selected from the IWOMP 2005 program and organized in topical sections on performance tools, compiler technology, run-time environment, applications, as well as the OpenMP language and its evaluation. In the second part there are 19 papers of IWOMP 2006, fully revised and grouped thematically in sections on advanced performance tuning aspects of code development applications, and proposed extensions to OpenMP.

Accuracy Estimates and Adaptive Refinements in Finite Element Computations

Accuracy Estimates and Adaptive Refinements in Finite Element Computations PDF Author: Ivo Babuška
Publisher: John Wiley & Sons
ISBN:
Category : Engineering mathematics
Languages : en
Pages : 416

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Book Description
This book contains papers discussing the recent developments in adaptive methods and their applications, an area of finite elements methods applicable to the needs of civil engineering. Topics covered range from an exposition of basic theory and techniques to detailed discussions of specific applications. Adaptive approaches, and the computer assessment of the reliability of the results obtained are also examined.