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Author: Tomasz Plewa Publisher: Springer Science & Business Media ISBN: 3540270396 Category : Mathematics Languages : en Pages : 550
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.
Author: Tomasz Plewa Publisher: Springer Science & Business Media ISBN: 3540270396 Category : Mathematics Languages : en Pages : 550
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.
Author: Tomasz Plewa Publisher: Springer Science & Business Media ISBN: 9783540211471 Category : Mathematics Languages : en Pages : 582
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.
Author: Taras Gerya Publisher: Cambridge University Press ISBN: 0521887542 Category : Mathematics Languages : en Pages : 359
Book Description
This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.
Author: Scott B. Baden Publisher: Springer Science & Business Media ISBN: 1461212529 Category : Mathematics Languages : en Pages : 187
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.
Author: Francis X. Giraldo Publisher: Springer Nature ISBN: 3030550699 Category : Mathematics Languages : en Pages : 559
Book Description
This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book’s main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.
Author: Shoken M. Miyama Publisher: Springer Science & Business Media ISBN: 9780792355663 Category : Mathematics Languages : zh-TW Pages : 470
Book Description
This book contains all the oral and poster sessions presented at the `Numerical Astrophysics 1998' symposium held in Tokyo on March 10-13, 1998. It covers a wide variety of research fields, from the large-scale structure of the Universe to planetary systems. Astrophysics employing all kinds of supercomputers, such as massive-parallel computers, parallel vector machines, and special-purpose computers, are included. Recent progress in numerical methods, remote data analysis, and special-purpose computers are also reviewed. This book is suitable for researchers and graduate students in astronomy/astrophysics, who want an overview of the present research fronts based on supercomputing.
Author: P. Ladeveze Publisher: Elsevier ISBN: 0080525938 Category : Computers Languages : en Pages : 539
Book Description
Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the latest advances in both these important areas.Papers are selected from a Workshop (Cachan 17-19 September 1997) which is the third of a series devoted to Error Estimators and Adaptivity in Computational Mechanics. The Cachan Workshop dealt with latest advances in adaptive computational methods in mechanics and their impacts on solving engineering problems. It was centered too on providing answers to simple questions such as: what is being used or can be used at present to solve engineering problems? What should be the state of art in the year 2000? What are the new questions involving error estimators and their applications?
Author: K. Matsuno Publisher: Elsevier ISBN: 0080538428 Category : Technology & Engineering Languages : en Pages : 621
Book Description
This volume is proceedings of the international conference of the Parallel Computational Fluid Dynamics 2002. In the volume, up-to-date information about numerical simulations of flows using parallel computers is given by leading researchers in this field. Special topics are "Grid Computing" and "Earth Simulator". Grid computing is now the most exciting topic in computer science. An invited paper on grid computing is presented in the volume. The Earth-Simulator is now the fastest computer in the world. Papers on flow-simulations using the Earth-Simulator are also included, as well as a thirty-two page special tutorial article on numerical optimization.
Author: Tomasz Plewa
Author: Tomasz Plewa
Author: Tomasz Plewa
Author: E. Oñate
Author: Rüdiger Verführt
Author: Taras Gerya
Author: Scott B. Baden
Author: Francis X. Giraldo
Author: Shoken M. Miyama
Author: P. Ladeveze
Author: K. Matsuno