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Author : Institute for Computer Applications in Science and Engineering
Publisher :
Page : 28 pages
File Size : 41,59 MB
Release : 1983
Category :
ISBN :
Author : Roland Glowinski
Publisher : Walter de Gruyter GmbH & Co KG
Page : 236 pages
File Size : 21,90 MB
Release : 2022-09-20
Category : Mathematics
ISBN : 3110785056
This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
Author : R. A. Nicolaides
Publisher :
Page : 13 pages
File Size : 15,73 MB
Release : 1982
Category :
ISBN :
The major thrust of the research undertaken was to find the most efficient methods for solving viscous flow problems governed by the Navier-Stokes equations. Both external flows past obstacles and internal flows in tanks and channels were investigated. Two aspects in particular have been studied most thoroughly. These are the finite-element discretization of the flow equations and the implementation aspects involving most effective use of hardware in order to obtain small solution times.
Author : Philippe G. Ciarlet
Publisher : Gulf Professional Publishing
Page : 1187 pages
File Size : 19,16 MB
Release : 1990
Category : Numerical analysis
ISBN : 9780444512246
Includes following subjects: Solution of equations in Rn, Finite difference methods, Finite element methods, Techniques of scientific computing, Optimization theory and systems science, Numerical methods for fluids, Numerical methods for solids, Specific applications
Author : Michel Deville
Publisher : Vieweg+Teubner Verlag
Page : 234 pages
File Size : 36,95 MB
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 3663002217
The GAMM-Commi ttee for Numerical Methods in Fluid Mechanics (GAMM-Fachausschuss für Numerische Methoden in der Strömungsmechanik) has sponsored the organization of a GAMM Workshop dedicated to the numerical simulation of three dimensional incompressible unsteady viscous laminar flows to test Navier-Stokes solvers. The Workshop was held in Paris from June 12th to June 14th, 1991 at the Ecole Nationale Superieure des Arts et Metiers. Two test problems were set up. The first one is the flow in a driven-lid parallelepipedic cavity at Re = 3200 . The second problem is a flow around a prolate spheroid at incidence. These problems are challenging as fully transient solutions are expected to show up. The difficulties for meaningful calculations come from both space and temporal discretizations which have to be sufficiently accurate to resol ve detailed structures like Taylor-Görtler-like vortices and the appropriate time development. Several research teams from academia and industry tackled the tests using different formulations (veloci ty-pressure, vortici ty velocity), different numerical methods (finite differences, finite volumes, finite elements), various solution algorithms (splitting, coupled ...), various solvers (direct, iterative, semi-iterative) with preconditioners or other numerical speed-up procedures. The results show some scatter and achieve different levels of efficiency. The Workshop was attended by about 25 scientists and drove much interaction between the participants. The contributions in these proceedings are presented in alphabetical order according to the first author, first for the cavi ty problem and then for the prolate spheroid problem. No definite conclusions about benchmark solutions can be drawn.
Author : Roger Peyret
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 22,59 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 1475765576
This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.
Author : Jean Donea
Publisher : John Wiley & Sons
Page : 366 pages
File Size : 21,66 MB
Release : 2003-06-02
Category : Science
ISBN : 9780471496663
Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.
Author : Max D. Gunzburger
Publisher : Elsevier
Page : 292 pages
File Size : 43,90 MB
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 0323139825
Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.
Author : Sven Gross
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 44,3 MB
Release : 2011-04-26
Category : Mathematics
ISBN : 3642196861
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Author : L. Quartapelle
Publisher : Birkhäuser
Page : 292 pages
File Size : 35,40 MB
Release : 2012-02-06
Category : Science
ISBN : 9783034885805
This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.