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Compressible Navier-Stokes Equations

2012-08-04 Mathematics
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Release : 2012-08-04
Genre : Mathematics
Kind : eBook
Book Rating : 672/5 ( reviews)

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Book Synopsis Compressible Navier-Stokes Equations by : Pavel Plotnikov

Download or read book Compressible Navier-Stokes Equations written by Pavel Plotnikov. This book was released on 2012-08-04. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on the applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomogeneous boundary value problems for viscous gas dynamics equations; applications to optimal shape design in aerodynamics; kinetic theory for equations with oscillating data; new approach to the boundary value problems for transport equations. The monograph offers a comprehensive and self-contained introduction to recent mathematical tools designed to handle the problems arising in the theory.

Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations

2013-11-11 Technology & Engineering
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Release : 2013-11-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 717/5 ( reviews)

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Book Synopsis Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations by :

Download or read book Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations written by . This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Projection methods had been introduced in the late sixties by A. Chorin and R. Teman to decouple the computation of velocity and pressure within the time-stepping for solving the nonstationary Navier-Stokes equations. Despite the good performance of projection methods in practical computations, their success remained somewhat mysterious as the operator splitting implicitly introduces a nonphysical boundary condition for the pressure. The objectives of this monograph are twofold. First, a rigorous error analysis is presented for existing projection methods by means of relating them to so-called quasi-compressibility methods (e.g. penalty method, pressure stabilzation method, etc.). This approach highlights the intrinsic error mechanisms of these schemes and explains the reasons for their limitations. Then, in the second part, more sophisticated new schemes are constructed and analyzed which are exempted from most of the deficiencies of the classical projection and quasi-compressibility methods. '... this book should be mandatory reading for applied mathematicians specializing in computational fluid dynamics.' J.-L.Guermond. Mathematical Reviews, Ann Arbor

Introduction to the Mathematical Theory of Compressible Flow

2004-06-17 Mathematics
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Release : 2004-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis Introduction to the Mathematical Theory of Compressible Flow by : Antonín Novotny

Download or read book Introduction to the Mathematical Theory of Compressible Flow written by Antonín Novotny. This book was released on 2004-06-17. Available in PDF, EPUB and Kindle. Book excerpt: These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes an index and bibliography, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of compressible flow."--Jacket.

Initial-boundary Value Problems and the Navier-Stokes Equations

1989-01-01 Science
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Release : 1989-01-01
Genre : Science
Kind : eBook
Book Rating : 135/5 ( reviews)

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Book Synopsis Initial-boundary Value Problems and the Navier-Stokes Equations by : Heinz-Otto Kreiss

Download or read book Initial-boundary Value Problems and the Navier-Stokes Equations written by Heinz-Otto Kreiss. This book was released on 1989-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Problems and the Navier-Stokes Equations invaluable. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. There are many new results, in particular on the Navier-Stokes equations. The direct approach to the subject still gives a valuable introduction to an important area of applied analysis.

Dynamics of Viscous Compressible Fluids

2004 Language Arts & Disciplines
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Release : 2004
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 388/5 ( reviews)

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Book Synopsis Dynamics of Viscous Compressible Fluids by : Eduard Feireisl

Download or read book Dynamics of Viscous Compressible Fluids written by Eduard Feireisl. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This text develops the ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. The material is by no means intended to be the last word on the subject but rather to indicate possible directions of future research.

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