Numerical Solutions of Unsteady Incompressible Navier-Stokes Equations Using an Explicit Finite Analytic Scheme PDF Download
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Author: Weizhong Dai
Publisher:
ISBN:
Category :
Languages : en
Pages : 352
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Author: Weizhong Dai
Publisher:
ISBN:
Category :
Languages : en
Pages : 352
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Author: L. Quartapelle
Publisher: Birkhäuser
ISBN: 3034885792
Category : Science
Languages : en
Pages : 296
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Book Description
This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.
Author: Kungl. Tekniska högskolan. Institutionen för numerisk analys och datalogi
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 14
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Author: Stuart Eames Rogers
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 52
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Author: Cha-Hsiang Tan
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Bo-nan Jiang
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 18
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Author: Roger Temam
Publisher: Elsevier
ISBN: 1483256855
Category : Mathematics
Languages : en
Pages : 539
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Book Description
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.
Author: Murli M. Gupta
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 30
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Author: John G. Heywood
Publisher: Springer
ISBN: 3540471413
Category : Mathematics
Languages : en
Pages : 245
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Book Description
These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.
Author: O. R. Sørensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 172
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