Grid Generation Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 9048129125
Total Pages : 390 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Grid Generation Methods by : Vladimir D. Liseikin

Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer Science & Business Media. This book was released on 2009-10-27 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.

ICASE/LaRC Workshop on Adaptive Grid Methods

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis ICASE/LaRC Workshop on Adaptive Grid Methods by :

Download or read book ICASE/LaRC Workshop on Adaptive Grid Methods written by and published by . This book was released on 1995 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Method of Lines

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Publisher : CRC Press
ISBN 13 : 1420035614
Total Pages : 435 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Adaptive Method of Lines by : A, Vande Wouwer

Download or read book Adaptive Method of Lines written by A, Vande Wouwer and published by CRC Press. This book was released on 2001-04-18 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's

Adaptive Mesh Refinement - Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540270396
Total Pages : 550 pages
Book Rating : 4.5/5 (42 download)

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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 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.

Stability and Error Estimation for Component Adaptive Grid Methods

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Stability and Error Estimation for Component Adaptive Grid Methods by : Joseph Oliger

Download or read book Stability and Error Estimation for Component Adaptive Grid Methods written by Joseph Oliger and published by . This book was released on 1994 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Component adaptive grid (CAG) methods for solving hyperbolic partial differential equations (PDE's) are discussed in this paper. Applying recent stability results for a class of numerical methods on uniform grids, the convergence of these methods for linear problems on component adaptive grids is established here. Furthermore, the computational error can be estimated on CAG's using the stability results. Using these estimates, the error can be controlled on CAG's. Thus, the solution can be computed efficiently on CAG's within a given error tolerance. Computational results for time dependent linear problems in one and two space dimensions are presented."

Grid Generation Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662039494
Total Pages : 363 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Grid Generation Methods by : Vladimir D. Liseikin

Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.

Structured Adaptive Mesh Refinement (SAMR) Grid Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1461212529
Total Pages : 187 pages
Book Rating : 4.4/5 (612 download)

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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 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.

Stability and Error Estimation for Component Adaptive Grid Methods

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722797973
Total Pages : 28 pages
Book Rating : 4.7/5 (979 download)

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Book Synopsis Stability and Error Estimation for Component Adaptive Grid Methods by : National Aeronautics and Space Administration (NASA)

Download or read book Stability and Error Estimation for Component Adaptive Grid Methods written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-11 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Component adaptive grid (CAG) methods for solving hyperbolic partial differential equations (PDE's) are discussed in this paper. Applying recent stability results for a class of numerical methods on uniform grids. The convergence of these methods for linear problems on component adaptive grids is established here. Furthermore, the computational error can be estimated on CAG's using the stability results. Using these estimates, the error can be controlled on CAG's. Thus, the solution can be computed efficiently on CAG's within a given error tolerance. Computational results for time dependent linear problems in one and two space dimensions are presented. Oliger, Joseph and Zhu, Xiaolei Unspecified Center NAS2-13721; N00014-89-J-0185; N00014-90-J-1344; NSF DMS-93-18166...

Adaptive Grid Methods

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (843 download)

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Book Synopsis Adaptive Grid Methods by : Institute for Computer Applications in Science and Engineering

Download or read book Adaptive Grid Methods written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Atmospheric Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 3540333835
Total Pages : 221 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Adaptive Atmospheric Modeling by : Jörn Behrens

Download or read book Adaptive Atmospheric Modeling written by Jörn Behrens and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an overview of the development of adaptive techniques for atmospheric modeling. Written in an educational style, it functions as a starting point for readers interested in adaptive modeling, in atmospheric sciences and beyond. Coverage includes paradigms of adaptive techniques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral meshes, with a special section on initial meshes for the sphere.

Adaptive Methods for Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898712421
Total Pages : 382 pages
Book Rating : 4.7/5 (124 download)

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Book Synopsis Adaptive Methods for Partial Differential Equations by : Ivo Babushka

Download or read book Adaptive Methods for Partial Differential Equations written by Ivo Babushka and published by SIAM. This book was released on 1989-01-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.

Introduction to Numerical Geodynamic Modelling

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Publisher : Cambridge University Press
ISBN 13 : 0521887542
Total Pages : 359 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Introduction to Numerical Geodynamic Modelling by : Taras Gerya

Download or read book Introduction to Numerical Geodynamic Modelling written by Taras Gerya and published by Cambridge University Press. This book was released on 2010 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.

Application of Adaptive Grids in Solving the Partial Differential Equations Governing Fluid Flow

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Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Application of Adaptive Grids in Solving the Partial Differential Equations Governing Fluid Flow by : D. A. Anderson

Download or read book Application of Adaptive Grids in Solving the Partial Differential Equations Governing Fluid Flow written by D. A. Anderson and published by . This book was released on 1984 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief review of the goals and progress of the research on adaptive grid generation is presented. The principal results of the research are given by four papers supported by Grant AFOSR-83-0167 which comprise the appendix: Adaptive Grid Methods for Partial Differential Equations from Advances on Grid Generation, and AIAA papers 84-1608, 84-1610, and 84-1668. Keywords: Grid generation; Adaptive grids; Multidimensional; Finite difference methods.

A Practical Adaptive-grid Method for Complex Fluid-flow Problems

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Practical Adaptive-grid Method for Complex Fluid-flow Problems by :

Download or read book A Practical Adaptive-grid Method for Complex Fluid-flow Problems written by and published by . This book was released on 1984 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ICASE/LaRC Workshop on Adaptive Grid Methods

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis ICASE/LaRC Workshop on Adaptive Grid Methods by : Jerry Curtis South

Download or read book ICASE/LaRC Workshop on Adaptive Grid Methods written by Jerry Curtis South and published by . This book was released on 1995 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Adaptive Grid Algorithm for One-Dimensional Nonlinear Equations

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Publisher :
ISBN 13 : 9781731246318
Total Pages : 130 pages
Book Rating : 4.2/5 (463 download)

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Book Synopsis An Adaptive Grid Algorithm for One-Dimensional Nonlinear Equations by : National Aeronautics and Space Adm Nasa

Download or read book An Adaptive Grid Algorithm for One-Dimensional Nonlinear Equations written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-11-13 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richards' equation, which models the flow of liquid through unsaturated porous media, is highly nonlinear and difficult to solve. Step gradients in the field variables require the use of fine grids and small time step sizes. The numerical instabilities caused by the nonlinearities often require the use of iterative methods such as Picard or Newton interation. These difficulties result in large CPU requirements in solving Richards equation. With this in mind, adaptive and multigrid methods are investigated for use with nonlinear equations such as Richards' equation. Attention is focused on one-dimensional transient problems. To investigate the use of multigrid and adaptive grid methods, a series of problems are studied. First, a multigrid program is developed and used to solve an ordinary differential equation, demonstrating the efficiency with which low and high frequency errors are smoothed out. The multigrid algorithm and an adaptive grid algorithm is used to solve one-dimensional transient partial differential equations, such as the diffusive and convective-diffusion equations. The performance of these programs are compared to that of the Gauss-Seidel and tridiagonal methods. The adaptive and multigrid schemes outperformed the Gauss-Seidel algorithm, but were not as fast as the tridiagonal method. The adaptive grid scheme solved the problems slightly faster than the multigrid method. To solve nonlinear problems, Picard iterations are introduced into the adaptive grid and tridiagonal methods. Burgers' equation is used as a test problem for the two algorithms. Both methods obtain solutions of comparable accuracy for similar time increments. For the Burgers' equation, the adaptive grid method finds the solution approximately three times faster than the tridiagonal method. Finally, both schemes are used to solve the water content formulation of the Richards' equation. For this problem, the adaptive grid method obtains a more accurate solution in fewer work units and ...

Three-dimensional Self-adaptive Grid Method for Complex Flows

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Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Three-dimensional Self-adaptive Grid Method for Complex Flows by :

Download or read book Three-dimensional Self-adaptive Grid Method for Complex Flows written by and published by . This book was released on 1988 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: