Navier-Stokes Equations in Planar Domains

By Jean-Pierre Croisille, Matania Ben Artzi, Matania Ben-Artzi, et al.

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.

• Format: Hardcover
• Language: English
• ISBN: 1848162758
• ISBN13: 9781848162754
• Release Date: June 2011
• Publisher: Imperial College Press
• Length: 316 Pages
• Weight: 1.30 lbs.
• Dimensions: 0.9" x 6.1" x 9.1"