An Arbitrarily High Order Transport Method Of The Characteristic Type For Unstructured Tetrahedral Grids

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A ROBUST ARBITRARILY HIGH ORDER TRANSPORT METHOD OF THE CHARACTERISTIC TYPE FOR UNSTRUCTURED TETRAHEDRAL GRIDS.

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis A ROBUST ARBITRARILY HIGH ORDER TRANSPORT METHOD OF THE CHARACTERISTIC TYPE FOR UNSTRUCTURED TETRAHEDRAL GRIDS. by :

Download or read book A ROBUST ARBITRARILY HIGH ORDER TRANSPORT METHOD OF THE CHARACTERISTIC TYPE FOR UNSTRUCTURED TETRAHEDRAL GRIDS. written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a robust arbitrarily high order transport method of the characteristic type for unstructured tetrahedral grids. Previously encountered difficulties have been addressed through the reformulation of the method based on coordinate transformations, evaluation of the moments balance relation as a linear system of equations involving the expansion coefficients of the projected basis, and the asymptotic expansion of the integral kernels in the thin cell limit. The proper choice of basis functions for the high-order spatial expansion of the solution is discussed and its effect on problems involving scattering discussed. Numerical tests are presented to illustrate the beneficial effect of these improvements, and the improved robustness they yield.

An Arbitrarily High Order Transport Method of the Characteristic Type for Unstructured Tetrahedral Grids

Author : Rodolfo M. Ferrer
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis An Arbitrarily High Order Transport Method of the Characteristic Type for Unstructured Tetrahedral Grids by : Rodolfo M. Ferrer

Download or read book An Arbitrarily High Order Transport Method of the Characteristic Type for Unstructured Tetrahedral Grids written by Rodolfo M. Ferrer and published by . This book was released on 2010 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arbitrarily High Order Transport Method of the Characteristic Type for Tetrahedral Grids

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (684 download)

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Book Synopsis Arbitrarily High Order Transport Method of the Characteristic Type for Tetrahedral Grids by :

Download or read book Arbitrarily High Order Transport Method of the Characteristic Type for Tetrahedral Grids written by and published by . This book was released on 2001 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formalism is derived for the Arbitrarily High Order Transport (AHOT) method of the Characteristic type (AHOT-C) in three-dimensional geometry for unstructured grids (UG). The resulting equations are implemented in a computer code, AHOT-C-UG, in the C language. The transport solution on the unstructured grid is stored as two inter-linked lists of cell and face flux moments. This arrangement allows the transport sweep to select the order of evaluation dynamically so that the typical recursive ordering of the discrete ordinate's mesh sweep is maintained without the need to store a precomputed order for each ordinate. The dynamic cell sweep order thus reduces the memory demand without excessively increasing execution time. Comparison of AHOT-C-UG's solutions to fine mesh TORT solutions illustrate high accuracy of the new method. In particular, large half a million cell numerical tests illustrate a convergence rate for the error as O(h), where h is a measure of the longest edge in the tetrahedral grid. Execution time on a 700 MHz Intel Pentium III running Linux 2.4.0 is less than 0.2 ms per cell-angle sweep operation. Also the total memory requirement is of the order of 240 bytes per tetrahedral cell, where 64-bit arithmetic precision is employed throughout.

Transactions of the American Nuclear Society

Author : American Nuclear Society
Publisher :
ISBN 13 :
Total Pages : 1068 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transactions of the American Nuclear Society by : American Nuclear Society

Download or read book Transactions of the American Nuclear Society written by American Nuclear Society and published by . This book was released on 1958 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Innovations in Wave Processes Modelling and Decision Making

Author : Alena V. Favorskaya
Publisher : Springer
ISBN 13 : 331976201X
Total Pages : 277 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Innovations in Wave Processes Modelling and Decision Making by : Alena V. Favorskaya

Download or read book Innovations in Wave Processes Modelling and Decision Making written by Alena V. Favorskaya and published by Springer. This book was released on 2018-02-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods for full-wave computer simulation that can be used in various applications and contexts, e.g. seismic prospecting, earthquake stability, global seismic patterns on Earth and Mars, medicine, traumatology, ultrasound investigation of the human body, ultrasound and laser operations, ultrasonic non-destructive railway testing, modelling aircraft composites, modelling composite material delamination, etc. The key innovation of this approach is the ability to study spatial dynamical wave processes, which is made possible by cutting-edge numerical finite-difference grid-characteristic methods. The book will benefit all students, researchers, practitioners and professors interested in numerical mathematics, computer science, computer simulation, high-performance computer systems, unstructured meshes, interpolation, seismic prospecting, geophysics, medicine, non-destructive testing and composite materials.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1993 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aeronautical Engineering

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ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Aeronautical Engineering by :

Download or read book Aeronautical Engineering written by and published by . This book was released on 1993 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA)

Aeronautical Engineering: A Cumulative Index to a Continuing Bibliography (supplement 287)

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ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Aeronautical Engineering: A Cumulative Index to a Continuing Bibliography (supplement 287) by :

Download or read book Aeronautical Engineering: A Cumulative Index to a Continuing Bibliography (supplement 287) written by and published by . This book was released on 1993 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Higher-Order Finite Element Methods

Author : Pavel Solin
Publisher : CRC Press
ISBN 13 : 0203488040
Total Pages : 404 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Higher-Order Finite Element Methods by : Pavel Solin

Download or read book Higher-Order Finite Element Methods written by Pavel Solin and published by CRC Press. This book was released on 2003-07-28 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Aerospace Abstracts

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ISBN 13 :
Total Pages : 1048 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Additive Runge-Kutta Schemes for Convection-diffusion-reaction Equations

Author : Christopher Alan Kennedy
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Additive Runge-Kutta Schemes for Convection-diffusion-reaction Equations by : Christopher Alan Kennedy

Download or read book Additive Runge-Kutta Schemes for Convection-diffusion-reaction Equations written by Christopher Alan Kennedy and published by . This book was released on 2001 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Additive Runge-Kutta (ARK) methods are investigated for application to the spatially discretized one-dimensional convection-diffusion-reaction (CDR) equations. First, accuracy, stability, conservation, and dense output are considered for the general case when N different Runge-Kutta methods are grouped into a single composite method. Then, implicit-explicit, N=2, additive Runge-Kutta ARK methods from third- to fifth-order are presented that allow for integration of stiff terms by an L-stable, stiffly-accurate explicit, singly diagonally implicit Runge-Kutta (ESDIRK) method while the nonstiff terms are integrated with a traditional explicit Runge-Kutta method (ERK). Coupling error terms are of equal order to those of the elemental methods. Derived ARK methods have vanishing stability functions for very large values of the stiff scaled eigenvalue and retain high stability efficiency in the absence of stiffness.

Nodal Discontinuous Galerkin Methods

Author : Jan S. Hesthaven
Publisher : Springer Science & Business Media
ISBN 13 : 0387720650
Total Pages : 507 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Nodal Discontinuous Galerkin Methods by : Jan S. Hesthaven

Download or read book Nodal Discontinuous Galerkin Methods written by Jan S. Hesthaven and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.

Upwind and High-Resolution Schemes

Author : M.Yousuff Hussaini
Publisher : Springer Science & Business Media
ISBN 13 : 3642605435
Total Pages : 587 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Upwind and High-Resolution Schemes by : M.Yousuff Hussaini

Download or read book Upwind and High-Resolution Schemes written by M.Yousuff Hussaini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.

The Hybrid High-Order Method for Polytopal Meshes

Author : Daniele Antonio Di Pietro
Publisher : Springer Nature
ISBN 13 : 3030372030
Total Pages : 552 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis The Hybrid High-Order Method for Polytopal Meshes by : Daniele Antonio Di Pietro

Download or read book The Hybrid High-Order Method for Polytopal Meshes written by Daniele Antonio Di Pietro and published by Springer Nature. This book was released on 2020-04-03 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes; the possibility of having arbitrary approximation orders in any space dimension; an enhanced compliance with the physics; and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion – possibly heterogeneous and anisotropic – and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope.

An Unstructured Grid Generation and Adaptive Solution Technique for High-Reynolds-number Compressible Flows

Author : Gregory Allan Ashford
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Unstructured Grid Generation and Adaptive Solution Technique for High-Reynolds-number Compressible Flows by : Gregory Allan Ashford

Download or read book An Unstructured Grid Generation and Adaptive Solution Technique for High-Reynolds-number Compressible Flows written by Gregory Allan Ashford and published by . This book was released on 1996 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Numerical Methods for Hyperbolic Problems

Author : Remi Abgrall
Publisher : Elsevier
ISBN 13 : 0444637958
Total Pages : 668 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Handbook of Numerical Methods for Hyperbolic Problems by : Remi Abgrall

Download or read book Handbook of Numerical Methods for Hyperbolic Problems written by Remi Abgrall and published by Elsevier. This book was released on 2016-11-17 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications Written by leading subject experts in each field who provide breadth and depth of content coverage