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Numerical Simulation of Incompressible Viscous Flow

2022-09-20 Mathematics
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Release : 2022-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 056/5 ( reviews)

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Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski

Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski. This book was released on 2022-09-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows

2013-03-09 Technology & Engineering
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Release : 2013-03-09
Genre : Technology & Engineering
Kind : eBook
Book Rating : 217/5 ( reviews)

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Book Synopsis Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows by : Michel Deville

Download or read book Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows written by Michel Deville. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Simulation of Incompressible Viscous Flow with Moving Boundaries

2005 Boundary value problems
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Release : 2005
Genre : Boundary value problems
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Numerical Simulation of Incompressible Viscous Flow with Moving Boundaries by : Arati Nanda Pati

Download or read book Numerical Simulation of Incompressible Viscous Flow with Moving Boundaries written by Arati Nanda Pati. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Simulations Of Incompressible Flows

2003-01-23 Mathematics
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Release : 2003-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)

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Book Synopsis Numerical Simulations Of Incompressible Flows by : Mohamed M Hafez

Download or read book Numerical Simulations Of Incompressible Flows written by Mohamed M Hafez. This book was released on 2003-01-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to the Numerical Analysis of Incompressible Viscous Flows

2008-01-01 Mathematics
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Release : 2008-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 902/5 ( reviews)

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Book Synopsis Introduction to the Numerical Analysis of Incompressible Viscous Flows by : William Layton

Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton. This book was released on 2008-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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