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Author : Semyon V. Tsynkov
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (965 download)
Download or read book Artificial boundary conditions based on the difference potentials method written by Semyon V. Tsynkov and published by . This book was released on 1996 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Aeronautics and Space Adm Nasa
Publisher :
ISBN 13 : 9781729111086
Total Pages : 36 pages
Book Rating : 4.1/5 (11 download)
Download or read book Artificial Boundary Conditions Based on the Difference Potentials Method written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-22 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: While numerically solving a problem initially formulated on an unbounded domain, one typically truncates this domain, which necessitates setting the artificial boundary conditions (ABC's) at the newly formed external boundary. The issue of setting the ABC's appears to be most significant in many areas of scientific computing, for example, in problems originating from acoustics, electrodynamics, solid mechanics, and fluid dynamics. In particular, in computational fluid dynamics (where external problems present a wide class of practically important formulations) the proper treatment of external boundaries may have a profound impact on the overall quality and performance of numerical algorithms. Most of the currently used techniques for setting the ABC's can basically be classified into two groups. The methods from the first group (global ABC's) usually provide high accuracy and robustness of the numerical procedure but often appear to be fairly cumbersome and (computationally) expensive. The methods from the second group (local ABC's) are, as a rule, algorithmically simple, numerically cheap, and geometrically universal; however, they usually lack accuracy of computations. In this paper we first present a survey and provide a comparative assessment of different existing methods for constructing the ABC's. Then, we describe a relatively new ABC's technique of ours and review the corresponding results. This new technique, in our opinion, is currently one of the most promising in the field. It enables one to construct such ABC's that combine the advantages relevant to the two aforementioned classes of existing methods. Our approach is based on application of the difference potentials method attributable to V. S. Ryaben'kii. This approach allows us to obtain highly accurate ABC's in the form of certain (nonlocal) boundary operator equations. The operators involved are analogous to the pseudodifferential boundary projections first introduced by A. P. Calderon and then also...
Author :
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)
Download or read book Artificial Boundary Conditions Based on the Difference Potentials Method written by and published by . This book was released on 1996 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Houde Han
Publisher : Springer Science & Business Media
ISBN 13 : 3642354645
Total Pages : 434 pages
Book Rating : 4.6/5 (423 download)
Download or read book Artificial Boundary Method written by Houde Han and published by Springer Science & Business Media. This book was released on 2013-04-13 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics and mechanical engineering. Prof. Houde Han works at Tsinghua University, China; Prof. Xiaonan Wu works at Hong Kong Baptist University, China.
Author : Viktor S. Ryaben'kii
Publisher : Springer Science & Business Media
ISBN 13 : 9783540426332
Total Pages : 568 pages
Book Rating : 4.4/5 (263 download)
Download or read book Method of Difference Potentials and Its Applications written by Viktor S. Ryaben'kii and published by Springer Science & Business Media. This book was released on 2001-11-06 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English edition of a well-known Russian monograph. This book presents the method of difference potentials first proposed by the author in 1969, and contains illustrative examples and new algorithms for solving applied problems of gas dynamics, diffraction, scattering theory, and active noise screening.
Author : Viktor S. Ryaben'kii
Publisher : Springer Science & Business Media
ISBN 13 : 3642563449
Total Pages : 538 pages
Book Rating : 4.6/5 (425 download)
Download or read book Method of Difference Potentials and Its Applications written by Viktor S. Ryaben'kii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English edition of a well-known Russian monograph. This book presents the method of difference potentials first proposed by the author in 1969, and contains illustrative examples and new algorithms for solving applied problems of gas dynamics, diffraction, scattering theory, and active noise screening.
Author :
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (317 download)
Download or read book An Application of the Difference Potentials Method to Solving External Problems in CFD written by and published by . This book was released on 1997 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viktor Solomonovich Ri͡abenʹkiĭ
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.F/5 ( download)
Download or read book Difference Potentials and Their Applications written by Viktor Solomonovich Ri͡abenʹkiĭ and published by . This book was released on 1997 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)
Download or read book External Boundary Conditions for Three-Dimensional Problems of Computational Aerodynamics written by and published by . This book was released on 1997 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722062897
Total Pages : 40 pages
Book Rating : 4.0/5 (628 download)
Download or read book An Application of the Difference Potentials Method to Solving External Problems in Cfd written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-30 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical solution of infinite-domain boundary-value problems requires some special techniques that would make the problem available for treatment on the computer. Indeed, the problem must be discretized in a way that the computer operates with only finite amount of information. Therefore, the original infinite-domain formulation must be altered and/or augmented so that on one hand the solution is not changed (or changed slightly) and on the other hand the finite discrete formulation becomes available. One widely used approach to constructing such discretizations consists of truncating the unbounded original domain and then setting the artificial boundary conditions (ABC's) at the newly formed external boundary. The role of the ABC's is to close the truncated problem and at the same time to ensure that the solution found inside the finite computational domain would be maximally close to (in the ideal case, exactly the same as) the corresponding fragment of the original infinite-domain solution. Let us emphasize that the proper treatment of artificial boundaries may have a profound impact on the overall quality and performance of numerical algorithms. The latter statement is corroborated by the numerous computational experiments and especially concerns the area of CFD, in which external problems present a wide class of practically important formulations. In this paper, we review some work that has been done over the recent years on constructing highly accurate nonlocal ABC's for calculation of compressible external flows. The approach is based on implementation of the generalized potentials and pseudodifferential boundary projection operators analogous to those proposed first by Calderon. The difference potentials method (DPM) by Ryaben'kii is used for the effective computation of the generalized potentials and projections. The resulting ABC's clearly outperform the existing methods from the standpoints of accuracy and robustness, in many cases noticeably speed up th...
Author : V. Venkatakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 9401151695
Total Pages : 397 pages
Book Rating : 4.4/5 (11 download)
Download or read book Barriers and Challenges in Computational Fluid Dynamics written by V. Venkatakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, designed for engineers and scientists working in the area of Computational Fluid Dynamics (CFD), experts offer assessments of the capabilities of CFD, highlight some fundamental issues and barriers, and propose novel approaches to overcome these problems. They also offer new avenues for research in traditional and non-traditional disciplines. The scope of the papers ranges from the scholarly to the practical. This book is distinguished from earlier surveys by its emphasis on the problems facing CFD and by its focus on non-traditional applications of CFD techniques. There have been several significant developments in CFD since the last workshop held in 1990 and this book brings together the key developments in a single unified volume.
Author : Thomas L. Geers
Publisher : Springer Science & Business Media
ISBN 13 : 9401590958
Total Pages : 335 pages
Book Rating : 4.4/5 (15 download)
Download or read book IUTAM Symposium on Computational Methods for Unbounded Domains written by Thomas L. Geers and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 1997 IUTAM Symposium, where invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics, and mathematics discussed non-reflecting computational boundaries. The participants formulated benchmark problems for evaluating computational boundaries, as described in the first article.
Author : L. Tourrette
Publisher : Nova Publishers
ISBN 13 : 9781560729402
Total Pages : 396 pages
Book Rating : 4.7/5 (294 download)
Download or read book Absorbing Boundaries and Layers, Domain Decomposition Methods written by L. Tourrette and published by Nova Publishers. This book was released on 2001 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Sections omitted from printing of text.
Author : S. V. Tsynkov
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (317 download)
Download or read book Artificial Boundary Conditions for Computation of Oscillating External Flows written by S. V. Tsynkov and published by . This book was released on 1996 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : DIANE Publishing
ISBN 13 : 142899579X
Total Pages : 36 pages
Book Rating : 4.4/5 (289 download)
Download or read book Global discrete artificial boundary conditions for timedependent wave propagation written by and published by DIANE Publishing. This book was released on with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722259556
Total Pages : 24 pages
Book Rating : 4.2/5 (595 download)
Download or read book Global Artificial Boundary Conditions for Computation of External Flow Problems with Propulsive Jets written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-03 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose new global artificial boundary conditions (ABC's) for computation of flows with propulsive jets. The algorithm is based on application of the difference potentials method (DPM). Previously, similar boundary conditions have been implemented for calculation of external compressible viscous flows around finite bodies. The proposed modification substantially extends the applicability range of the DPM-based algorithm. In the paper, we present the general formulation of the problem, describe our numerical methodology, and discuss the corresponding computational results. The particular configuration that we analyze is a slender three-dimensional body with boat-tail geometry and supersonic jet exhaust in a subsonic external flow under zero angle of attack. Similarly to the results obtained earlier for the flows around airfoils and wings, current results for the jet flow case corroborate the superiority of the DPM-based ABC's over standard local methodologies from the standpoints of accuracy, overall numerical performance, and robustness. Tsynkov, Semyon and Abarbanel, Saul and Nordstrom, Jan and Ryabenkii, Viktor and Vatsa, Veer Goddard Space Flight Center; Langley Research Center NAS1-97046; RTOP 505-90-52-01...
Author : Denis M. Filatov
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (13 download)
Download or read book Theoretical Aspects of the Method of Splitting and Artificial Boundary Conditions written by Denis M. Filatov and published by . This book was released on 2018 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper is dedicated to the development and analysis of a general methodology for constructing artificial boundary conditions (ABCs ) for numerical solution to differential problems in unbounded domains. Our approach is essentially based on the employment of the techniques of time and dimensional splitting coupled with spline approximations, which unlike all other ABCs-constructing methods allows to obtain exact, local, and geometrically uncritical artificial boundary conditions. The methodology is applied to and studied on the linear advection-diffusion-reaction equation.
