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Book Stability Analysis of the Navier Stokes Equations and Numerical Simulation in 3D

Download or read book Stability Analysis of the Navier Stokes Equations and Numerical Simulation in 3D written by Johan Sowa and published by . This book was released on 1989 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Navier   Stokes Equations

Download or read book Navier Stokes Equations written by Roger Temam and published by Elsevier. This book was released on 2016-06-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.

Book The Navier Stokes Equations

Download or read book The Navier Stokes Equations written by Rodolfo Salvi and published by CRC Press. This book was released on 2001-09-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."

Book Applied Analysis of the Navier Stokes Equations

Download or read book Applied Analysis of the Navier Stokes Equations written by Charles R. Doering and published by Cambridge University Press. This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.

Book Numerical Simulation of Oscillatory Convection in Low Pr Fluids

Download or read book Numerical Simulation of Oscillatory Convection in Low Pr Fluids written by Bernard Roux and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the last ten years, there has been an ever-increasing awareness that fluid motion and transport processes influenced by buoyancy are of interest in many fields of science and technology. In particular, a lot of research has been devoted to the oscillatory behaviour of metallic melts (low-Pr fluids) due to the very crucial impact of such flow oscillations on the quality of growing crystals, semi-conductors or metallic alloys, for advanced technology applications. Test cases on the 2D oscillatory convection in differentially heated cavities containing low-Pr fluids have been defined by the organizing committee, and proposed to the community in 1987. The GAMM-Worshop was attended by 55 scientists from 12 countries, in Oct. 1988 in Marseille (France). Twenty-eight groups contributed to the mandatory cases coming from France (12), other European countries (7) and other countries: USA, Japan and Australia (9). Several groups also presented solutions of various related problems such as accurate determination of the threshold for the onset of oscillations, thermocapillary effect in open cavities, and 3D simulations. Period doubling, quasi- periodic behaviour, reverse transition and hysteresis loops have been reported for high Grashof numbers in closed cavities. The workshop was also open to complementary contributions (5), from experiments and theory (stability and bifurcation analysis). The book contains details about the various methods employed and the specific results obtained by each contributor.

Book Navier Stokes Equations and Related Nonlinear Problems

Download or read book Navier Stokes Equations and Related Nonlinear Problems written by Herbert Amann and published by VSP. This book was released on 1998-01-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of invited lectures and contributed papers which were delivered at the Sixth International Conference on Navier-Stokes Equations and Related Nonlinear Problems, held in Palanga, Lithuania, 22-29 May 1997. While the emphasis was on the mathematical foundation of fluid dynamics, related contributions on nonlinear and numerical analysis were discussed as well. The topics covered include: incompressible fluids described by Navier-Stokes equations, compressible fluids, non-Newtonian fluids, free boundary problems, equations from thermo- and magnetohydrodynamcis, asymptotic analysis, stability, and related problems of nonlinear and numerical analysis.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Navier Stokes Equations

Download or read book Navier Stokes Equations written by Roger Temam and published by North-Holland. This book was released on 1977 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1989 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Approximation of Hyperbolic Systems of Conservation Laws

Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Nature. This book was released on 2021-08-28 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.

Book The Steady Navier Stokes System

Download or read book The Steady Navier Stokes System written by Mikhail Korobkov and published by Springer Nature. This book was released on 2024 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray's problem on existence of a solution to the boundary value problem for the stationary Navier--Stokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors' work over the past few years on this under-explored topic within the study of the Navier--Stokes equations. This book will be the first major work on the Navier--Stokes equations to explore Leray's problem in detail. The results are presented with detailed proofs, as are the history of the problem and the previous approaches to finding a solution to it. In addition, for the reader's convenience and for the self-sufficiency of the text, the foundations of the mathematical theory for incompressible fluid flows described by the steady state Stokes and Navier--Stokes systems are presented. For researchers in this active area, this book will be a valuable resource

Book NASA SP

    Book Details:
  • Author :
  • Publisher :
  • Release : 1992
  • ISBN :
  • Pages : 654 pages

Download or read book NASA SP written by and published by . This book was released on 1992 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On the Numerical Analysis of the Nonstationary Navier Stokes Equations

Download or read book On the Numerical Analysis of the Nonstationary Navier Stokes Equations written by R. Rannacher and published by . This book was released on 1989 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Semi analytic Methods for the Navier Stokes Equations

Download or read book Semi analytic Methods for the Navier Stokes Equations written by Katie Coughlin and published by American Mathematical Soc.. This book was released on 1999-04-18 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures collected for this volume were given during a workshop entitled, ``Semi-analytic Methods for the Navier Stokes Equations'' held at the CRM in Montreal. The title reflects the current reality in fluid dynamics: Navier-Stokes equations (NSE) describe the behavior of fluid in a wide range of physical situations, the solutions of these equations are sufficiently complicated, so that another level of analysis is clearly needed. The fundamental problem is not just to solve the NSE, but also to understand what the solutions mean. One of the goals of the workshop was to bring together people who, while working in different fields, share a common perspective on the nature of the problem to be solved. The lectures present a diverse set of techniques for modelling, computing, and understanding phenomena such as instabilities, turbulence and spatiotemporal chaos in fluids.

Book International Aerospace Abstracts

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: