Spatial Goal Based Error Estimation And Adaptive Mesh Refinement Amr For Diamond Difference Discrete Ordinate Dd Sn Methods
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Spatial Goal Based Error Estimation And Adaptive Mesh Refinement Amr For Diamond Difference Discrete Ordinate Dd Sn Methods
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Author : Rebecca Siân Jeffers
language : en
Publisher:
Release Date : 2016
Spatial Goal Based Error Estimation And Adaptive Mesh Refinement Amr For Diamond Difference Discrete Ordinate Dd Sn Methods written by Rebecca Siân Jeffers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Spatial Goal Based Error Estimation And Adaptive Mesh Refinement Methods
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Author : Rebecca Siân Jeffers
language : en
Publisher:
Release Date : 2017
Spatial Goal Based Error Estimation And Adaptive Mesh Refinement Methods written by Rebecca Siân Jeffers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
An Adaptive Mesh Refinement Algorithm For The Discrete Ordinates Method
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Author :
language : en
Publisher:
Release Date : 1996
An Adaptive Mesh Refinement Algorithm For The Discrete Ordinates Method written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
The discrete ordinates form of the radiative transport equation (RTE) is spatially discretized and solved using an adaptive mesh refinement (AMR) algorithm. This technique permits the local grid refinement to minimize spatial discretization error of the RTE. An error estimator is applied to define regions for local grid refinement; overlapping refined grids are recursively placed in these regions; and the RTE is then solved over the entire domain. The procedure continues until the spatial discretization error has been reduced to a sufficient level. The following aspects of the algorithm are discussed: error estimation, grid generation, communication between refined levels, and solution sequencing. This initial formulation employs the step scheme, and is valid for absorbing and isotopically scattering media in two-dimensional enclosures. The utility of the algorithm is tested by comparing the convergence characteristics and accuracy to those of the standard single-grid algorithm for several benchmark cases. The AMR algorithm provides a reduction in memory requirements and maintains the convergence characteristics of the standard single-grid algorithm; however, the cases illustrate that efficiency gains of the AMR algorithm will not be fully realized until three-dimensional geometries are considered.
Adaptive Mesh Refinement Theory And Applications
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Author : Tomasz Plewa
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-20
Adaptive Mesh Refinement Theory And Applications written by Tomasz Plewa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-20 with Mathematics categories.
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 Based On A Posteriori Error Estimation
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Author : Martin Juhas
language : en
Publisher:
Release Date : 2014
Adaptive Mesh Refinement Based On A Posteriori Error Estimation written by Martin Juhas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Spatial Differencing And Mesh Sensitivity In Two And Three Dimensional Discrete Ordinates Codes
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Author :
language : en
Publisher:
Release Date : 2002
Spatial Differencing And Mesh Sensitivity In Two And Three Dimensional Discrete Ordinates Codes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Errors due to spatial differencing methods and mesh size in two-dimensional and three-dimensional discrete ordinate solutions of a typical gamma ray shielding problem are illustrated by comparing results from the DORT, TORT, and PARTISN codes. using a model geometry that is typical of spent fuel transfer and storage casks these errors were systematically investigated by varying the mesh size and differencing method. The results of this study show that the fixed-weighted and adaptive weighted diamond differencing methods in 2D problems require mesh intervals of about 0.25 mfp's for reasonable accuracy in deep penetration. The number of mesh cells required for weighted diamond difference methods severely limit the size of 3D problems that can be solved. The linear discontinuous method in PARTISN is shown to maintain numerical accuracy in 3D problems while reducing the overall computational effort by allowing larger mesh intervals. it is also shown that 3D problems exhibit differencing errors that may not readily be inferred from 2D results. Comprehensive displays of the magnitudes of spatial differencing errors in a practical shielding problem provide valuable guidance for the shielding practitioner using today's computational tools.
Goal Oriented A Posteriori Error Estimation And Adaptive Mesh Refinement In 2d 3d Thermoelasticity Problems
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Author : Ehsan Rabizadeh
language : en
Publisher:
Release Date : 2019
Goal Oriented A Posteriori Error Estimation And Adaptive Mesh Refinement In 2d 3d Thermoelasticity Problems written by Ehsan Rabizadeh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
An Adaptive Mesh Moving And Local Refinement Method For Time Dependent Partial Differential Equations
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Author :
language : en
Publisher:
Release Date : 1990
An Adaptive Mesh Moving And Local Refinement Method For Time Dependent Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
We discuss mesh-moving, static mesh regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial boundary value problems for vector systems of time-dependent partial differential equations in two space dimensions and time. A coarse based mesh of quadrilateral cells is moved by an algebraic mesh-movement function so as to follow and isolate spatially distinct phenomena. The local mesh-refinement method recursively divides the time step and spatial cells of the moving base mesh in regions where error indicators are high until a prescribed tolerance is satisfied. The static mesh-regeneration procedure is used to create a new base mesh when the existing one becomes to distorted. The adaptive methods have been combined with a MacCormack finite difference scheme for hyperbolic systems and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples.
An Adaptive Method With Mesh Moving And Local Mesh Refinement For Time Dependent Partial Differential Equations
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Author : David C. Arney
language : en
Publisher:
Release Date : 1988
An Adaptive Method With Mesh Moving And Local Mesh Refinement For Time Dependent Partial Differential Equations written by David C. Arney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
The authors discuss mesh moving, static mesh regeneration, and local mesh refinement algorithms that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time-dependent partial differential equations in two-space dimensions and time. A coarse base mesh of quadrilateral cells is moved by an algebraic mesh movement function so that it may follow and isolate spatially distinct phenomena. The local mesh refinement method recursively divides the time step and spatial cells of the moving base mesh in regions were error indicators are high until a prescribed tolerance is satisfied. The static mesh regeneration procedure is used to create a new base mesh when the existing ones become too distorted. In order to test our adaptive algorithms, the authors implemented them in a system code with an initial mesh generator, a MacCormack finite difference scheme for hyperbolic systems, and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples. (kr).
Scientific Data Mining
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Author : Chandrika Kamath
language : en
Publisher: SIAM
Release Date : 2009-06-04
Scientific Data Mining written by Chandrika Kamath and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-04 with Mathematics categories.
Chandrika Kamath describes how techniques from the multi-disciplinary field of data mining can be used to address the modern problem of data overload in science and engineering domains. Starting with a survey of analysis problems in different applications, it identifies the common themes across these domains.