Numerical Simulation Of Incompressible Viscous Flow

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Numerical Simulation of Incompressible Viscous Flow

Author : Roland Glowinski,Tsorng-Whay Pan
Publisher : Walter de Gruyter GmbH & Co KG
Page : 232 pages
File Size : 54,6 Mb
Release : 2022-09-19
Category : Mathematics
ISBN : 9783110785012

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Numerical Simulation of Incompressible Viscous Flow by Roland Glowinski,Tsorng-Whay Pan Pdf

This text on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to split complicated computational fluid dynamics problems into a sequence of simpler sub-problems. A methodology for solving more advanced applications such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid is also presented.

Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows

Author : Michel Deville,Thien-Hiep Lê,Yves Morchoisne
Publisher : Vieweg+Teubner Verlag
Page : 151 pages
File Size : 54,8 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.

Handbook of Numerical Analysis

Author : Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski
Publisher : Gulf Professional Publishing
Page : 1187 pages
File Size : 52,6 Mb
Release : 1990
Category : Numerical analysis
ISBN : 0444512241

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Handbook of Numerical Analysis by Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski Pdf

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

Introduction to the Numerical Analysis of Incompressible Viscous Flows

Author : William Layton
Publisher : SIAM
Page : 219 pages
File Size : 45,9 Mb
Release : 2008-12-04
Category : Mathematics
ISBN : 9780898716573

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Introduction to the Numerical Analysis of Incompressible Viscous Flows by William Layton Pdf

A unified treatment of fluid mechanics, analysis and numerical analysis appropriate for first year graduate students.

Numerical Simulations of Incompressible Flows

Author : M. M. Hafez,Dochan Kwak
Publisher : World Scientific
Page : 712 pages
File Size : 54,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9812796835

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Numerical Simulations of Incompressible Flows by M. M. Hafez,Dochan Kwak Pdf

This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field. Contents: NavierOCoStokes Solvers; Projection Methods; Finite Element Methods; Higher-Order Methods; Innovative Methods; Applications in Aeronautics; Applications Beyond Aeronautics; Multiphase and Cavitating Flows; Special Topics. Readership: Researchers and graduate students in computational science and engineering."

Numerical Simulation in Fluid Dynamics

Author : Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer
Publisher : SIAM
Page : 222 pages
File Size : 40,7 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 9780898713985

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Numerical Simulation in Fluid Dynamics by Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer Pdf

In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.

Introduction to the Numerical Analysis of Incompressible Viscous Flows

Author : William J. Layton
Publisher : Unknown
Page : 213 pages
File Size : 49,8 Mb
Release : 2008
Category : Fluid mechanics
ISBN : 1680157914

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Introduction to the Numerical Analysis of Incompressible Viscous Flows by William J. Layton Pdf

Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.

Numerical Simulation of Compressible Navier-Stokes Flows

Author : Marie Odile Bristeau
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 50,6 Mb
Release : 2013-03-08
Category : Technology & Engineering
ISBN : 9783322878731

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Numerical Simulation of Compressible Navier-Stokes Flows by Marie Odile Bristeau Pdf

With the advent of super computers during the last ten years, the numerical simulation of viscous fluid flows modeled by the Navier-Stokes equations is becoming a most useful tool in Aircraft and Engine Design. In fact, compressible Navier-Stokes solvers tend to constitute the basic tools for many industrial applications occuring in the simulation of very complex turbulent and combustion phenomena. In Aerospace Engineering, as an exemple, their mathematical modelization requires reliable and robust methods for solving very stiff non linear partial differential equations. For the above reasons, it was clear that a workshop on this topic would be of interest for the CFD community in order to compare accuracy and efficiency of Navier-Stokes solvers on selected external and internal flow problems using different numerical approaches. The workshop was held on 4-6 December 1985 at Nice, France and organized by INRIA with the sponsorship of the GAMM Committee on Numerical Methods in Fluid Mechanics.

Spectral Methods for Incompressible Viscous Flow

Author : Roger Peyret
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 51,7 Mb
Release : 2002-03-28
Category : Mathematics
ISBN : 0387952217

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Spectral Methods for Incompressible Viscous Flow by Roger Peyret Pdf

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.

Direct Numerical Simulation of Incompressible Pipe Flow Using a B-spline Spectral Method

Author : Patrick Loulou,Stanford University. Department of Aeronautics and Astronautics
Publisher : Unknown
Page : 196 pages
File Size : 43,6 Mb
Release : 1996
Category : Finite element method
ISBN : STANFORD:36105046323122

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Direct Numerical Simulation of Incompressible Pipe Flow Using a B-spline Spectral Method by Patrick Loulou,Stanford University. Department of Aeronautics and Astronautics Pdf

Fluid Dynamics

Author : C. Pozrikidis
Publisher : Springer
Page : 901 pages
File Size : 42,6 Mb
Release : 2016-08-23
Category : Technology & Engineering
ISBN : 9781489979919

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Fluid Dynamics by C. Pozrikidis Pdf

This book provides an accessible introduction to the basic theory of fluid mechanics and computational fluid dynamics (CFD) from a modern perspective that unifies theory and numerical computation. Methods of scientific computing are introduced alongside with theoretical analysis and MATLAB® codes are presented and discussed for a broad range of topics: from interfacial shapes in hydrostatics, to vortex dynamics, to viscous flow, to turbulent flow, to panel methods for flow past airfoils. The third edition includes new topics, additional examples, solved and unsolved problems, and revised images. It adds more computational algorithms and MATLAB programs. It also incorporates discussion of the latest version of the fluid dynamics software library FDLIB, which is freely available online. FDLIB offers an extensive range of computer codes that demonstrate the implementation of elementary and advanced algorithms and provide an invaluable resource for research, teaching, classroom instruction, and self-study. This book is a must for students in all fields of engineering, computational physics, scientific computing, and applied mathematics. It can be used in both undergraduate and graduate courses in fluid mechanics, aerodynamics, and computational fluid dynamics. The audience includes not only advanced undergraduate and entry-level graduate students, but also a broad class of scientists and engineers with a general interest in scientific computing.