Finite Difference Methods Of Solution Of Nonlinear Flow Processes With Application To The Ben Øard Problem

Author : Jacob E. Fromm
Publisher : Unknown
Page : 138 pages
File Size : 53,8 Mb
Release : 1966
Category : Finite differences
ISBN : UOM:39015095274521

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Finite Difference Methods of Solution of Nonlinear Flow Processes with Application to the Ben©Øard Problem by Jacob E. Fromm Pdf

A general method of numerical calculation of compressible flows is outlined in which such flows are divided into irrotational and solenoidal parts. The general equations are reduced to the Boussinesq approximation for consideration of the B©Øenard problem. The B©Øenard problem, both in method of solution and result, is used to analyse a number of crucial aspects of finite difference calculation. In particular, the nonlinear formulations in current use are developed and related in a systematic way; and, in addition, some higher order methods are derived. Examples of the time-dependent behavior of the thermal convection problem are examined for physical interpretation in terms of gross property measurements and character of instantaneous solutions with the hope that the experience so gained will be valuable to extensions of the numerical method to more general problems.

Author : Roger Peyret,Thomas D. Taylor
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642859526

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Computational Methods for Fluid Flow by Roger Peyret,Thomas D. Taylor Pdf

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

Author : D. B. Ingham,M. A. Kelmanson
Publisher : Springer Science & Business Media
Page : 165 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642823305

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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems by D. B. Ingham,M. A. Kelmanson Pdf

Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.

Author : Institute for Computer Applications in Science and Engineering,D. Gottlieb
Publisher : Unknown
Page : 28 pages
File Size : 50,5 Mb
Release : 1984
Category : Electronic
ISBN : NASA:31769001173338

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Spectral Methods for Compressible Flow Problems by Institute for Computer Applications in Science and Engineering,D. Gottlieb Pdf

Author : Marcel J. Crochet,A. R. Davies,Kenneth Walters
Publisher : Unknown
Page : 376 pages
File Size : 52,9 Mb
Release : 1984
Category : Science
ISBN : UCAL:B4406496

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Numerical Simulation of Non-Newtonian Flow by Marcel J. Crochet,A. R. Davies,Kenneth Walters Pdf

Author : John Tinsley Oden
Publisher : Unknown
Page : 800 pages
File Size : 52,9 Mb
Release : 1974
Category : Finite element method
ISBN : UOM:39015002127721

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Finite Element Methods in Flow Problems by John Tinsley Oden Pdf

Author : Michel Deville,Thien-Hiep Lê,Yves Morchoisne
Publisher : Vieweg+Teubner Verlag
Page : 234 pages
File Size : 40,5 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783663002215

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Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows by Michel Deville,Thien-Hiep Lê,Yves Morchoisne Pdf

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 : United States. National Aeronautics and Space Administration. Scientific and Technical Information Office,M. M. Hafez
Publisher : Unknown
Page : 132 pages
File Size : 55,7 Mb
Release : 1978
Category : Aerodynamics, Transonic
ISBN : NASA:31769000502099

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Numerical Computation of Transonic Flows by Finite-element and Finite-difference Methods by United States. National Aeronautics and Space Administration. Scientific and Technical Information Office,M. M. Hafez Pdf

Author : David Lincoln Book
Publisher : Springer
Page : 256 pages
File Size : 44,8 Mb
Release : 1981
Category : Science
ISBN : UOM:39015006428521

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Finite-difference Techniques for Vectorized Fluid Dynamics Calculations by David Lincoln Book Pdf

This is one of a series of books that are essential revision tools: they provide a concise outline of the principles for each of the major subject areas within undergraduate law. Written in clear, straightforward language, the authors explain the principles and highlight key cases and legislative provision for each subject.

Author : E. G. Puckett
Publisher : Unknown
Page : 350 pages
File Size : 48,6 Mb
Release : 2005-05
Category : Science
ISBN : 0521555000

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Finite Difference Methods for Computational Fluid Dynamics by E. G. Puckett Pdf

Outlining theory and techniques for solution of fluid flow problems. Upper-division textbook.

Author : Roland W. Jeppson
Publisher : Unknown
Page : 56 pages
File Size : 48,6 Mb
Release : 1972
Category : Fluid dynamics
ISBN : CORNELL:31924004135285

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Studies to Develop and Investigate an Inverse Formulation for Numerically Solving Three-dimensional Free Surface Potential Fluid Flows by Roland W. Jeppson Pdf

Author : R. Glowinski
Publisher : Springer
Page : 520 pages
File Size : 48,8 Mb
Release : 1984
Category : Numerical analysis
ISBN : UCAL:B4405342

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Numerical Methods for Nonlinear Variational Problems by R. Glowinski Pdf