Navier-stokes Equations In Planar Domains (häftad)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
316
Utgivningsdatum
2013-05-06
Förlag
Imperial College Press
Medarbetare
Croisille, Jean-Pierre / Fishelov, Dalia
Illustrationer
Illustrations
Dimensioner
231 x 155 x 23 mm
Vikt
613 g
Antal komponenter
1
Komponenter
HC gerader Rücken kaschiert
ISBN
9781848162754

Navier-stokes Equations In Planar Domains

Inbunden,  Engelska, 2013-05-06
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This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as driven cavity and double-driven cavity.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a pure streamfunction approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics.
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Innehållsförteckning

Basic Theory: Introduction; Existence and Uniqueness of Smooth Solutions; Estimates for Smooth Solutions; Extension of the Solution Operator; Measures as Initial Data; Asymptotic Behavior for Large Time; Some Theorems from Functional Analysis; Approximate Solutions: Introduction; Notation; Finite Difference Approximation to Second-Order Boundary-Value Problems; From Hermitian Derivative to the Compact Discrete Biharmonic Operator; Polynomial Approach to the Discrete Biharmonic Operator; Compact Approximation of the Navier - Stokes Equations in Streamfunction Formulation; Fully Discrete Approximation of the Navier - Stokes Equations; Numerical Simulations of the Driven Cavity Problem.