Navier-stokes Equations In Planar Domains
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A01=Dalia Fishelov
A01=Jean Pierre Croisille
A01=Matania Ben-artzi
Asymptotic Behavior
Author_Dalia Fishelov
Author_Jean Pierre Croisille
Author_Matania Ben-artzi
Category=PBW
Classical Energy Method
Compact Schemes
Convergence Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
FFT
Leray
Navier-Stokes Equations
Nonlinear System
Periodic Solutions
Planar Domains
Steady States
Streamfunction
Streamfunction Formulation
Viscous Flow
Vorticity
Product details
- ISBN 9781848162754
- Publication Date: 06 May 2013
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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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.
