Adaptive Mesh Refinement - Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540211471
Total Pages : 582 pages
Book Rating : 4.2/5 (114 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 2004-12-08 with total page 582 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.

Parallel Anisotropic Block-based Adaptive Mesh Refinement Algorithm For Three-dimensional Flows

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

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Book Synopsis Parallel Anisotropic Block-based Adaptive Mesh Refinement Algorithm For Three-dimensional Flows by : Michael Williamschen

Download or read book Parallel Anisotropic Block-based Adaptive Mesh Refinement Algorithm For Three-dimensional Flows written by Michael Williamschen and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations

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

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Book Synopsis Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations by : Shawn Shamendra Prasad

Download or read book Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations written by Shawn Shamendra Prasad and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Development of an Unstructured Solution Adaptive Method for the Quasi-three-dimensional Euler and Navier-Stokes Equations

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Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Development of an Unstructured Solution Adaptive Method for the Quasi-three-dimensional Euler and Navier-Stokes Equations by :

Download or read book Development of an Unstructured Solution Adaptive Method for the Quasi-three-dimensional Euler and Navier-Stokes Equations written by and published by . This book was released on 1993 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Refinement - Theory and Applications

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Publisher : Springer
ISBN 13 : 9783540801092
Total Pages : 554 pages
Book Rating : 4.8/5 (1 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. This book was released on 2009-09-02 with total page 554 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.

A Spray Model for an Adaptive Mesh Refinement Code

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Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A Spray Model for an Adaptive Mesh Refinement Code by : Sara Dailey Bauman

Download or read book A Spray Model for an Adaptive Mesh Refinement Code written by Sara Dailey Bauman and published by . This book was released on 2001 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Refinement for Finite Element Flow Modeling in Complex Geometries

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis Adaptive Mesh Refinement for Finite Element Flow Modeling in Complex Geometries by : Sujata Prakash

Download or read book Adaptive Mesh Refinement for Finite Element Flow Modeling in Complex Geometries written by Sujata Prakash and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive mesh refinement is a powerful tool for obtaining the highest solution accuracy for a given computational effort. Over the past decade, many adaptive techniques have been developed and applied to a variety of fluid flow problems. Results obtained for compressible flows, and to an extent, 2D incompressible flows have been impressive, however, similar progress has not been noted for 3D incompressible flows, particularly in complicated geometries. The objective of this thesis was to develop and test an adaptive solution methodology for 3D incompressible flow simulations in domains of arbitrary complexity. To characterize the finite element solution error, the Zienkiewicz-Zhu patch recovery error estimator (LPR) was adopted. An enhanced version of the LPR error estimator was formulated and implemented using 10-noded tetrahedral elements. The enhanced estimator (LPRC) resulted in significantly improved gradient recovery (and consequently, improved error estimates) at virtually no additional computational cost. For mesh refinement, an elemental subdivision procedure was implemented. To enable refinement in complex geometries, a procedure for preserving the boundary integrity of a refined mesh was developed. This methodology can be used for geometric data from any solid modeling (CAD) system provided the data can be exported in the IGES format. A benchmark study of the AMR procedure, in which steady flow over a three-dimensional backward-facing step was simulated, showed that the cumulative computational effort required in the adaptive analysis was lower than that required in a non-adaptive analysis of the same problem. In the second phase of this work, the AMR procedure was applied to modeling flow through two arterial geometries. Specifically, flows in an idealized end-to-side anastomosis and in a human right coronary artery were examined. Both studies assessed whether an AMR analysis could achieve more accurate solutions than conventional analyses that utilize high-resolution meshes whose gradation is based on 'a priori' knowledge of the flow field. It was noted that mesh-independent velocity fields were not very difficult to obtain even in the absence of an adaptive methodology. However, wall shear stress fields were much more difficult to absolutely resolve non-adaptively. Given that shear stresses occurring on arterial walls are widely believed to be a key factor governing the development of arterial disease, it is very important to accurately resolve wall shear stress fields if confidence can be placed in the results of numerical simulations of arterial flow phenomena. These results indicate that wall shear stress is an extremely sensitive measure of spatial resolution, and that the systematic solution-adaptive methodology developed in this thesis is very effective in producing accurately resolved wall shear stress fields.

Adaptive Meshing Techniques for Viscous Flow Calculations on Mixed Element Unstructured Meshes

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

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Book Synopsis Adaptive Meshing Techniques for Viscous Flow Calculations on Mixed Element Unstructured Meshes by : Dimitri Mavriplis

Download or read book Adaptive Meshing Techniques for Viscous Flow Calculations on Mixed Element Unstructured Meshes written by Dimitri Mavriplis and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Strategies for the Spectral Element Method

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

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Book Synopsis Adaptive Mesh Strategies for the Spectral Element Method by : Institute for Computer Applications in Science and Engineering

Download or read book Adaptive Mesh Strategies for the Spectral Element Method written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: An adaptive spectral element method has been developed for the efficient solution of time dependent partial differential equations. Adaptive mesh strategies that include resolution refinement and coarsening by three different methods are illustrated on solutions to the one-dimensional viscous Burgers equation and the two-dimensional Navier-Stokes equations for driven flow in a cavity. Sharp gradients, singularities and regions of poor resolution are resolved optimally as they develop in time using error estimators which indicate the choice of refinement to be used. The adaptive formulation presents significant increases in efficiency, flexibility and general capabilities for high order spectral methods.

Adaptive Meshing Techniques for Viscous Flow Calculations on Mixed Element Unstructured Meshes

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

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Book Synopsis Adaptive Meshing Techniques for Viscous Flow Calculations on Mixed Element Unstructured Meshes by : D. J. Mavriplis

Download or read book Adaptive Meshing Techniques for Viscous Flow Calculations on Mixed Element Unstructured Meshes written by D. J. Mavriplis and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computations of Unsteady Viscous Compressible Flows Using Adaptive Mesh Refinement in Curvilinear Body-fitted Grid Systems

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Computations of Unsteady Viscous Compressible Flows Using Adaptive Mesh Refinement in Curvilinear Body-fitted Grid Systems by : Erlendur Steinthorsson

Download or read book Computations of Unsteady Viscous Compressible Flows Using Adaptive Mesh Refinement in Curvilinear Body-fitted Grid Systems written by Erlendur Steinthorsson and published by . This book was released on 1994 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A 3D Parallel Adaptive Mesh Refinement Method for Fluid Structure Interaction

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Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (69 download)

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Book Synopsis A 3D Parallel Adaptive Mesh Refinement Method for Fluid Structure Interaction by : Jean-Noël Pederzani

Download or read book A 3D Parallel Adaptive Mesh Refinement Method for Fluid Structure Interaction written by Jean-Noël Pederzani and published by . This book was released on 2009 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mesh Generation and Adaptation

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Publisher : Springer Nature
ISBN 13 : 3030925404
Total Pages : 328 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mesh Generation and Adaptation by : Rubén Sevilla

Download or read book Mesh Generation and Adaptation written by Rubén Sevilla and published by Springer Nature. This book was released on 2022-05-18 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems.Another common challenge is the need to handle complex geometries. Nowadays, it is becoming obvious that geometry should be persistent throughout the whole simulation process. Several methodologies that can carry the geometric information throughout the simulation stage are available, but due to the novelty of these methods, the generation of suitable meshes for these techniques is still the main obstacle for the industrial uptake of this technology.This book will cover different aspects of mesh generation and adaptation, with particular emphasis on cutting-edge mesh generation techniques for advanced discretisation methods and complex geometries.

An Adaptive Mesh Refinement Algorithm for the Discrete Ordinates Method

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Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (683 download)

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Book Synopsis An Adaptive Mesh Refinement Algorithm for the Discrete Ordinates Method by :

Download or read book An Adaptive Mesh Refinement Algorithm for the Discrete Ordinates Method written by and published by . This book was released on 1996 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A 3-D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (893 download)

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Book Synopsis A 3-D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics by :

Download or read book A 3-D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics written by and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Mesh Refinement (AMR) in conjunction with high order upwind finite difference methods has been used effectively on a variety of problems. In this paper we discuss an implementation of an AMR finite difference method that solves the equations of gas dynamics with two material species in three dimensions. An equation for the evolution of volume fractions augments the gas dynamics system. The material interface is preserved and tracked from the volume fractions using a piecewise linear reconstruction technique. 14 refs., 4 figs.

An Anisotropic Adaptive Method for the Solution of 3-D Inviscid and Viscous Compressible Flows

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (654 download)

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Book Synopsis An Anisotropic Adaptive Method for the Solution of 3-D Inviscid and Viscous Compressible Flows by :

Download or read book An Anisotropic Adaptive Method for the Solution of 3-D Inviscid and Viscous Compressible Flows written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the ... International Conference on Finite Element Methods in Flow Problems

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Publisher :
ISBN 13 :
Total Pages : 1624 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Proceedings of the ... International Conference on Finite Element Methods in Flow Problems by :

Download or read book Proceedings of the ... International Conference on Finite Element Methods in Flow Problems written by and published by . This book was released on 1989 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt: