Grid-quality Measures for Error Estimation and Solution-adaptive Mesh Refinement in CFD
Title | Grid-quality Measures for Error Estimation and Solution-adaptive Mesh Refinement in CFD PDF eBook |
Author | Xubin Gu |
Publisher | |
Pages | 488 |
Release | 2002 |
Genre | Fluid dynamic measurements |
ISBN |
Adaptive Mesh Refinement - Theory and Applications
Title | Adaptive Mesh Refinement - Theory and Applications PDF eBook |
Author | Tomasz Plewa |
Publisher | Springer Science & Business Media |
Pages | 550 |
Release | 2005-12-20 |
Genre | Mathematics |
ISBN | 3540270396 |
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.
Frontiers Of Computational Fluid Dynamics 2006
Title | Frontiers Of Computational Fluid Dynamics 2006 PDF eBook |
Author | Mohamed M Hafez |
Publisher | World Scientific |
Pages | 466 |
Release | 2005-12-07 |
Genre | Science |
ISBN | 9814479160 |
The series of volumes to which this book belongs honors contributors who have made a major impact in computational fluid dynamics. This fourth volume in the series is dedicated to David Caughey on the occasion of his 60th birthday. The first volume was published in 1994 and was dedicated to Prof Antony Jameson. The second, dedicated to Earl Murman, was published in 1998. The third volume was dedicated to Robert MacCormack in 2002.Written by leading researchers from academia, government laboratories, and industry, the contributions in this volume present descriptions of the latest developments in techniques for numerical analysis of fluid flow problems, as well as applications to important problems in industry.
Discrete-error-transport Equation for Error Estimation in CFD
Title | Discrete-error-transport Equation for Error Estimation in CFD PDF eBook |
Author | Yuehui Qin |
Publisher | |
Pages | 392 |
Release | 2004 |
Genre | Fluid dynamics |
ISBN |
Computational Grids
Title | Computational Grids PDF eBook |
Author | Graham F. Carey |
Publisher | CRC Press |
Pages | 518 |
Release | 1997-05-01 |
Genre | Mathematics |
ISBN | 9781560326359 |
In this comprehensive volume a treatment of grid generation, adaptive refinement, and redistribution techniques is developed together with supporting mathematical, algorithmic, and software concepts. Efficient solution strategies that exploit grid hierarchies are also described and analyzed. Emphasis is on the fundamental ideas, but the presentation includes practical guidelines for designing and implementing grid strategies.
An Adaptive Mesh Refinement Algorithm for the Discrete Ordinates Method
Title | An Adaptive Mesh Refinement Algorithm for the Discrete Ordinates Method PDF eBook |
Author | |
Publisher | |
Pages | 13 |
Release | 1996 |
Genre | |
ISBN |
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.
Analysis and Control of Grid Quality in Computational Simulation
Title | Analysis and Control of Grid Quality in Computational Simulation PDF eBook |
Author | J. F. Thompson |
Publisher | |
Pages | 96 |
Release | 1992 |
Genre | Equations |
ISBN |